The rate of heat transfer to the irterior is termed the ,.inst.docx

The rate of heat transfer to the irterior is termed the
,.instantaneous heat gain._IHG, and is given by
q,: IHG = hiQ*,i* t) (
By Eqs. (1s.22) and (15.29),
*= Ul[t",* + Irr. r cos(o10 - t,
[email protected],)+],2r..2cos((,)20 _ll,z_%)+...] _ r-] (i5_1,
where
V
(15.31)
The quantity I, in Eq. (15.30) is called the dec,rement
factor.The angle <D, is the anguladisplacement or lag between a
harmonic of tne sot-air temp^"ritr." anO the same har-monic of
the inside-surface rcmperature and heat flux-
&XAMPLE IS.2
Thc liSht{.,)l(n cd
'rrf
rt a .uildinp i;.ri.nlil lh.,ughoul a (lcru d,y rnt July 21 . Its
I{)rati(nr N.{l d..s_nr)nh tariruJc. variarion ,,i.-r ,ii ,.,rp",iir.;
,;;;;ili ;;:'J.y io givun irr .l ahtc15.4. Ite roo{ xon$istr of 6 in. of
c()nrtete, cr}vered by a t hin iayer of nroling which may
henegleclcd in the s()lulir)n. 'l,,e lcrnr.r0turu rlf thc insiie ai,
ao,i il,i"ri,l, surr,un<.ling surtaccsir 7ll'F' I)crcrminr'(a) thv rarc
ofirear tra tlnis,ii,' lhrough lhc rx)frr) the r(xnrr bekrw.verthe
lidl day a,,d (b) the rak .f heat tra,smissiru i't, their,.r:r it lreat-
rtorag"

"rlbcts
of lheconclclo tlah Arc neglccted.
ltolatlon:
(l) Sinc!'*e ere uiing thble 15.4tne,havcrrr,,=.1.111g,u7,,.lr'..t..
lty.l.al)lc J4.1./l, = t.(ItBtu/hr - Il? . .F. By Tthte 14.{ tp, p =
t4{) l,Jii;. i = r zir j ] ,.u tr,rrr,, . r, . "t,.. = l).21 Btullt'm , ,tr.
]tus, {r = I.r)/(140)(0.21) = 0.Of.r fiirirr, ry riq. frS.Z:1.
It* |I 0.5 , = t).57 Btu/hr . ,lr .
.l
t.ot
i
t.tt
|
.t.rrr
.. __ llte.fixrdametltal anguiar velocity tt, = 2r/?4 = (].26lti
rad/hr = t5 deg/hr. llybq, (15.2.t).
,,'=
{,i,1,1,ii., - re6rt
i
aud .,, * V2 o * 2.77 fi r..llrus rr, r. - ().91i Bnd rr?1, = 1.385.
Ly Eq. (1j.26).
* - l,ll;?,9,',?,, +, 11,.s:ro11r.r+.s1
, | (.].r))(r.$) _l-
lrii*iriii,, - r llr'r*,:;1r rzrr, , l,',11,J,,i]i,1,,,.557r))(r s20)

* 1.9.19
By Eq. (1.5.27),
4Al Porl V / HeotingF. ond CoolingElood Colculolions in
Buildings
IABU 15.5 Conslonls for Eq. (15.30) for Vorlous Flot{oof
Construcllons. All lnclude bulll-up rootlng. Nos. l-3 hov€ on olr
rpoce
below loyer I ond obove o metol lolh ond ploster ceiling. Nos.
6-8 hove o 0.5 ln. (1.3 cm) gypsum ploster ceillng under loyer
B.
Io
No. Descfiplion
U
Btu/ .fr2 .'F
(W/m'z .'C) )tr
or,
deg )t2
o2,
deg
Wnter Summer Wntet Summet Wlntet Summer Wntet 9ummet
Wnler Summer
I A: 2 in. (5 cm) cellulor
gloss insulolion
B: 2 in. (5 cm)
concrete

0.137
(0.778)
0.r28
(o.727)
0.506 o.47 66.0 70.0 0.280 o.241 86.6 89.2
2 A: 2 in. (5 cm) cellulol
gloss insuloilon
B: 4 ln. (10 cm)
concl€t6
0.134
(0.76r)
0.125
(0.7r0)
o.279 o-zt 86.2 88.s o.142 0.121 I06.5 108.0
3 A: 4 in. (10 cm)
concrele
B: 2 in. (5 cm) cellulor
gloss insulollon
0.r34
(0.761)
0.125
(0.7r0)
0.566 0.5t 9 68.5 72.2 0.320 o.2 97.3 lm.2
4 Some qs No. I excepl

no oir spoce ond no
ceiling
0.159
(0.e03)
0.150
(0.8s2)
0.788 o.674 44.5 54.1 0.536 0.414 70.3 78.5
5 Some os No. 2 except
no olr spoc€ ond no
celllng
0.t55
(0.880)
0,I rt6
(0.829)
0.5I8 0.405 70.8 74.4 o.246 o.213 97.3 1e2.2
6 A 4 in. (10 cm)
exponded polystyrene
insulolion
B: 4 in, (10 cm)
conc16l€
0.0653
(0.37r)
0.0637
(0.362)
0.444 0.348 76.2 82.7 o.2aa 0.0t 8 t 01.8 105.8

7 A: 4 ln. (10 cm) cellulor
gloss insulotion
B: 4 in. (I0 cm)
concreta
o.o773
(0.rl:}9)
0.0838
(0.476)
o.444 0.345 89.5 93.8 o.222 0.17l 127.3 127.5
I A: 8 in. (20 cm)
corkboord
B: 4 in. ( 10 cm)
concrele
0,032r
(0.r 82)
o.fi)17
(0.r 80)
0.t64 0.125 20,,..3 21 1.0 0.035 0.026 297.5 301.9
Table B.2 contains monthly and annual degree-day
information for seven cities in
the United States. The rnit, on tt'" O"giee-dafoata in.ttre
table are "'F'days'" The
;;";Hy ;;";;;;.utdoor-ar temperaiur? is utso ptovioed' Data are

listed for five values
of zero-load temperature: ,,. ",'oo,
el tttt" traditional. vatue)' and 70'F Note that the
annual number of degree days in"reaiessignificantly-
with an increase in zero-load tem''
perature for each locadon' Addi;ttt;il;;;"d"y data. are published
in reference [2]'
Erbs et al. [3] presented a metnoJi" "tti-it"
tf'e monthly and annual number of degree
davs based on monthty rn"un-u*Ui""t-i"lnperature data'
This method is useful in loca-
tions where degree-day data are unavailable'
The main use ot tn" O"gt"elJiy tetf'oO f to estimate the amount
of
fuel that will
be required to provide space hea ni{or a building' The amount
of energy required"E''
;;:;;i;:;;put.'tt'' ru"r 'li'itt,nent'
tr,'iv dividing it bv the average heating-
system efficiency and by the fuel heating value:
The average heating-system efficiency, 1*' is defined I. th: r?tio
of the thermal output
from the heating system divideo ufihi'n#ting nutu" ot the fuel
or energy input averaged

;;; ;; fi-#;6J or trr" unurvtit' not iottiftu"r t*naces this efficiencv
is
less than the
steadv-state value. cycting at parii;uJ'Jt'""t tl'" u*ount of heat
delivered to the build-
"fi:ffi;; ffi;iil: fl"'"' A-sHRAr 1r1 gi'"t equatio-ns to estimate
rl,l for various
types of heating systems that "t" "
i"""ilo"'dt"-ersizing of the heating-system capacity
and the amount of heat losr out the ductwork' The
heatilg-system average efficiency can
be estimated from
E"
'P
"tnH
CF ny
: 0.7791 + 0.1983RLC - 0'0711(RLCF
(17.e)
(17.10)
(17.11)
r7.r2)
240,*".0".,r,(DD),., (17.13)

(/,, a*,en - L, u""t . h, Il
rL, CFpt
l.h: T+;;
where q". is the steady-state or rated heating-system
efficiency without cycling' CF'1 is a
funcrion of the type of heating tyti"* "J
pi"ii rclad efficiency' and o' is the fraction of
heat loss from ducs. For exampte, the vatui for CFr,
for a natural-gas furnace with inter-
mittent ignition is given as
where
RCL:
aod Oo*ou, is the rated output of the heating
equipment' For fossil-fuel furnaces CF'1 is
alwavs less than 1.0. For electrlc furnu""t ""i
hiui"tt the value is equal to 1'0'*-"'i;rot;;;;q..-tri.zl,
trilsi' '"d-iri'sr'
we can obtain an expression.ror the
amount of tuel used to provide tp'il f'""tirrg that dep^ends on
the design
heat-loss'and
temDerature conditions, ttre numtei of deg.J" duy. riferenced
to the correct zero-load

#Hffi;.ffi;;;;;.;;;il;"v"'^ "fti'l'*v' and the hearins
varue of the ruel:
24(UA)"ff (DD)..,
F: :
'P 1l,tH
Pof V / Heotlng- ond Coolinqlood Colculotions in Buildings$2
Qou,p*
15.2 suMMER DES',o't' co'{D',r'o'{s
The maximum heat gain
ever likely to be achieved in a
given building depends'on the out-
doorweatherffiiiil^t''r'"i"ati"""tp"t*u"'iu"iit..tiaitytttltt''uodthlus
aeeof
thespaceltd;#;;ili;u'"ait""t"amo"oiiinir'upt"rl2'Spaceoccupancva
nd
"tr,".
int"*"ri-"L.-"*'oi."r"*o in a later
seci'in in ,r,ir'"rtup,"t' fue will
focus on the
ffi #;;hffi fl"::uffi i}:;#;x*:::nil#'ilJ'#il:*:il:::
radiation is oflen treated
as clear-sky radlau^or

lationlevelsro,."r},i,ry"ooaidonsaregiveninChapter13.
Table r5.l lists some summer design
,..pJi"'"r"t i.r selected cilies around the
*o'ra' rn"t" it'i""i*Lt u'" ^"ut"'"d 't "i;;;
;t"ther weather slations The data
in raule rs'i rtaie been slatisticallv
*"rv'"[Jotl' ti-y"* p"rioo for which hourlv
weather data exist' --
c'r""i'"ii"'i""' the desisn drY-burb t'.TIffi.H ;,#ffi:itt;;;:1ff
t:t?*:H:
bv*"T:-T;"#y.:$ff ';:llt:'"lH'l[ff Hi;;;i'"u'io";rhedrY-butbtem-
mean coincident w"t-oiT''::-ti":"",.:;: i"Ll"'"r"o tt
"xceeded
I percent' 2'5 percenl'
*r+:x*}5;3;u;0#15,ffi I'-i'm*'ffi*i#:+ern HemisPJ
from Canad
fABtE t5.t Summe] Deslgn Climotic
Conditions
Col. 2
Design Dry'
Bulb/Meon
coincldent Wet8ulb
TemPeotwe <"F)
Col. 4

Deslgn Wet-
Butb <'F)
Col.3
Meon
DoilY
Ronge
<'F)
Co[5
Prcvoillng
Wnd
Dieclion5%2.5%
5%CoL I
Locotlon 1%
2.5%
svdney, Auslrolio
Rio de Joneiro, Brozil
Edmonlon, Conoclo
Quebec, Conoclo
Poris, Fronce
Bomboy, lndio
Iokvo, JoPon
Meico CitY, Mexico .
aope Tor'n, Soulh Alnco
Kiev, Ukroine
Moscow, Russio
Slockholm, Sweden
Tunis, Iunisio
o€nver, USA

bs Angeles, USA
Miomi, USA
MinneoPolis, UsA
New York, USA
8el
941
85166
87 172
8el
96/
e/
83/
e3l
87/
ul
7Sl
1U2l
93/59
83/68
9t /77
v2/75
v2174
l3
ll
23
20
21
't3
l4
25
20
22
2l

l5
22
28
l5
l5
22
l7
s
s
E
SE
wsw
SE
s
SW
u/
e2/
82/65
u/70
86/
94/
ael
sl/
n/
u/
8r/
74/
9e/
9t /59
80/68
90/77
89/73
89/73

80/
nl
79163
81/68
83/
E2l
87/
19/
861
Ell
78/
72/
961
wlag
77 /67
as l7'1
s6171
87 /72
NE
s
SE
E
NW
S
N
74 73 72
80 79 7S
68 66 65
74 72 70
70 68 67
a2 8l 8l
8l 80 79

61 60 59
72 71 70
69 68 67
69 67 65
./ 6260
77 76 74
&6362
70&68
79 79 78
77 75 73
76 75 74
@
ofidb t q3' w' 24'4-24 22'
CIEP. 15 / lnsionloneous Haot ooln
473
IAILE I5'5 Conslonls in Eq.
ot MinneoPolis
(15.13) for o Horizonlol Su oce to] cleqr Doys
fime ol Yeot
t.,^
"Frc
L,
'F/"C
Sz
deg
*r

deg
t",,
'F/"C
Averoge Jonuory doy
Winter design doy
Aveloge April doy
Averoge JulY doy
summel design doy
Averoge October doy
7.9/-13.4
-8.61-22.6
66.0/18.9
95.7 /35.4
105.5/40.8
63.8/17.7
14.4/8.O
13.6/7.6
36.2120.r
39.2/21.8
40.3122.4
27.O/15.O
202.2
204.0
196.0
r93.0
t91.0
I99.0
8.514.7

8.2/4.6
1't.9/6.6
9.3/5.2
e.2/5.1
12.0/6.7
I 1.9
I r.9
0.0
-1.8
-1.8
r0.2
canbeprogrammedonasmallcomputerolcalculatorforcalculationth
loughanydesired
number of harmonics'
Example 15'1 shows that sol-air temperatue variation for
a ho zontal surface can
be adequatety re"prlt"'i"i Uv
"
f"*i"r se;es with two harmonics' However' valiation of
," for vertical ""iu""'
diff"rs much more from pure sine-wave behavior than for
a hori-
zontal surface' In ii" "ut"
of
"ottf''

east' and w;st vertical surfaces' six or more harmon-
ics maY be needed'
cerre.aty]i".iooic heat transfer through a sunlit vertical wall is
small compared to
hear ffansfer rr,i|rgi-.
"
.*rit flat roof of th; same area. Thus. usually it is more impor-
tant to have *""'"'" .J"i' temperature information for a horizontal
surface than
for
vertical surfaces'
Followinj the same procedures described here' James C' Dunn-
developed
a
computef p."d;"";;;;;;i"J oirrnur sol-air remDerature variations
for horizontal
and vertica suiice. i-
"r"",
a^y.
"t
vrinneapolis for six different times of year [2]' Table
r5.s sfrows tris reluttfi. u fr"tirootuf surface. Constants in Eq.
(15.13) ar-e shgwn throush
t*otu,rno-
"t'Co"tuntsforthewinterdesigndayweredeterminedforclearDecem
-

ber-
Februarydayswhoseminimumlemperatureswereapproximately_20
"F.(_29"C).
constants for ;;.r--", a.G" a"y weie determined for clear June-
August days
whose
maximum temperatures were ipproximately 95 "F (35 "C)'
15.1 PEP'ODIC HEAT OA//N fiHPOUGH WALIS AND ROOFS
Heattransferthroughwallsandroofscanbetreatedasdiurnalforpurpo
sesofdesigncal-
culations. There-firJirr" ."r-* ,"-perature becomes the external
thermal boundary
con-
dition and the-indoor temperaturi becomes the indoor
thermal boundary condition.
rn"re tounoury'JorrJitions'u." coupled to the solid material
through
the external and
i,t"rrur .onu""iiu-t"-tiai"tiue turt'ce fitm coefficients' Thus the
problem becomes one in
which the .otlo t'^t convective coefficients on both sides with
the
fluid temperatures
changing in u ai"rnJrn*"t' The most important assumptions to be
made
on the solid

wall or roof ari':*(f i.i"-J rr""i,ransfer is'by conduction only (or
pseudoconduction
if
natural convedio; and infrared radiation are present in
air cavities or in porous insula-
tion), (2) co,,tiil"sisionc"s between layers o1 material are
neglected'
and (3) air infil-
tration/exfiltrationthroughthewallorroofconstructionisnegligible.
t|El
ctloP 15 / lnstonloneous H6ot Goin
IABIE A.3E Thelmodynomlc Propedies of R-22 ot Sqturotion
(Engllsh Units)
Ttp
Liquin
De^tity
h,n41,
Sp- YoL
fi"b,
Entvlpy, Datun
-&"F, Batllbn
Entropy, DalM

-40'F, Rtulhtk .'R
L'4ud
ht
la,id
,100.
,95.
-90.
_85.
-E0.
-?5.
-70.
-55.
-60.
o.
l.
2.
4.
5.
5,
1-
9.
-5E.
-55.
-51.
-52.
-50.
-18.
-46.

-11.
-12.
-40.
-ta.
-36-
-31.
-32-
-30.
-29,
-24.
-25.
-u.
-23.
-2t.
-20,
_19.
-18.
-t7.
-16.
-t5.
-14.
-13.
-r2.
-ll.
. -LO.
-9,
-8.
-7.
-5.
-5.

-4.
"3.
-t_
2..40
2.47
3-12
4.05
1.78
5.61
5.55
7.61
t.E1
9.33
9.EE
10./15
t 1.04
t!.67
t2.?2
13.00
13.7
14.14
t5.21
r6.02
16.r5
t7.72
1E.62
r9.55
20.05
20.51
2r.(X
2t,55

22.ON
22.6t
23.t5
23.70
21.26
21.43
25.42
26.01
26.5t
27.23
2?.A3
24.49
29-tl
29.40
x0.41
3t.!5
31.E4
32.55
33.27
34.00
34.74
35.49
36.26
37.O1
37.A1
38.6,1
?9.15
10,29
4t.14
12.00
12.A7
13.76

41.66
45.57
46.50
+25.r
.21.1
.23.O
.21.7
.20.2
a18.6
.r5.5
.l/1.5
.t.o
.10,9
.9.E
.t.7
.7.5
.5.2
+4.9
+3.5
.2.O
.0.5
0.5
2.2
3.0
t.9
lo.r
10.7
lt.3
It.9
t2.5
13.2
13.8
t1-1

l5.t
rr.8
I
I rr.rI r?-9I rr-e
I rr.rI 20.OI uo.r
I z:EI ;i.i
1,,,
| 24.E
I zc.t
I ttz
I l.t-z
I uc.r
I ro-o
I ro-cI rr-e
4.9
5.4
5.8
6.3
6.9
7.1
7.9
8.5
9,0
9.5
93.77
93.31
92.85
9234
91.91
9!.,13
90.95
90.17

E9.99
a9.79
E9.60
E9./to
E9.20
E9.01
88.8t
EE.5I
EE.4I
E8.21
tE.0l
t7.El
87.60
E1.40
87.20
E6.99
86-t9
45.79
E6.6E
E6.58
86.4E
a6.!7
45.2',1
86.17
E5.06
E5.95
85.t5
E5.75
85-54
85.5,1
85,43
E5.33
85.22

a5.t2
85.01
E4.90
E4.EO
64.59
E4.58
84.48
84.3?
u.25
E4.15
E4.04
83.94
E3.83
a9.72
83.6r
83.50
83.39
a3.28
E3.l?
83.05
,2.95
E2.84
I
18.444
r5.5E8
13.213
I1.30?
9.700
E.360
1.236
6.259

5.1a7
5.201
1.931
46aZ
1.416
4.2U
/t.016
x.820
3,635
3.461
3.29',1
3.143
2.997
2.A39
2.729
2.605
2-541
2.490
2.434
2.3E0
2.327
2.216
2.245
2.177
2.130
2.0E3
2.038
1.995
t.952
1.911
1.E70
1.831
t-792

1.755
l.?19
1.683
r.5/tE
1.515
1.5E2
r.550
t.518
1.48E
l.tl5E
t.429
1.400
1.373
1.345
1.319
1.291
1.254
1.241
1.220
1.196
1.174
r.l5l
-t4,6
-r3a
-12.2
-11.0
-9.E
-t.5
-7.4
5.2
-5.0

1.5
-4.0
-3.5
-3.0
-2.5
-2.O
-1.5
-l.o
-0.5
0.0
0.5
l.o
t.5
2.0
2-5
2.4
3.1
3.3
3.6
3.E
4.1
4,5
4,9
5.1
5.4
5.7
5.9
6.2
6.4
6.7
7.0

7.3
?.E
E.O
8.3
i.5
E.6
9.1
9,3
9.6
9.9
10.1
10.,1
to,7
10.9
tt.2
I t.5
lr.t
12.0
12.3
12,6
r2.8
93.4
94.0
94.5
95-r
95.7
96.3
96.9
91.1
98.0

9A.2
9E.5
98.7
9E.9
99.1
99.1
99.6
99.E
r00.0
100.3
100.1
100.?
r00.9
10r.1
101.3
101.5
101.6
lol.7
l0t.E
101.9
102.0
102,1
ro2,2
t02.3
to2.1
r02.5
r02.6
t02,7
102.8
to2.9
l0:t.0
lo3.l
r03.3

r03.4
t03.5
103.6
r03.7
r03.E
103.9
104.0
104.1
t01.2
104.3
r04.4
104.5
r04.5
104.7
r04.8
104.9
r05.0
r05.1
105.2
105.2
105.3
-0.03?3
-O.O3rll
-o.tl:tu)
-o.o217
-0.0a16
-o.02lrt
,0.0r83
-0.0r52
-0.0121
-0.0109

-0,m97
-0.(x)E5
-0.00?3
-0.0050
-0.0048
-0.0036
-0.rD24
-0.0012
0.00{0
0.0012
0.oor4
0.0036
o.0{!lE
0.0060
0.0056
o.oo72
0.007E
0.0083
o.ooE9
0.0095
o.0lol
0.0107
0.0tr3
0.0119
0.0125
0.0131
0.0137
0.0142
0.0r4t
0.015/t
0.0160
0.0r66
0.0172

o.or7E
0.01t3
0.olE9
0.0195
0.0201
0.0207
0.0212
0.0218
o.0271
0-0230
0.0235
0.oul
0.0247
0.0253
0.0r59
0.0265
0.0270
o.o276
o.o2a2
0.o2EE
0.2621
o.2602
o.2518
0.2556
o.2531
0.2513
o.219X
0.2174
0,2155
0.2(E
o.241
o.2131

0.24n
0.2121
o,ur1
o,2407
o.2401
0.2395
0.2388
o.2382
o.2376
o.2370
0.2365
o.2x59
0.2356
0.2353
0.2350
o.231E
0.2345
0.2312
0.2339
0.2337
o.2331
o.2x3t
0.2329
o.2325
o.2323
1.132r
0.231E
0.2315
o.2313
0.23t0
0.2308
0.2305
0.2303

0,2301
o-2298
o.2296
o.2293
o.229r
0.228E
0.2246
0.2244
o.22at
o.2279
0.2277
0.2271
0.2272
0.7270
o.xr6a
o.2255
o.2253
o.226t
r Inchcs of trrcrcury bclow onc statrdard armosphcrc (29.y2 in).
A / Thermodynomic ond Thermophysicol Propslty Tobles
(co,, nued)
IABIE A.3E (cont)
TW.
Ltsu4
De tity
bnltr

ut
Sp:VnL
E hthy, Datun
-40"F. Btulbn -40"F.Ettllbnt'R
pflg
Ltcuid Liquid
11.
13.
t1.
15.
15.
17.
lE.
19.
20.
21.
22.
23.
21,
25.
25.
24.
29.
30.
31.
12.

3tl.
36.
37.
38.
39.
40.
41.
12.
13.
45.
46.
4E.
19.
50.
5r.
52.
53.
54.
55.
56.
57.
5E-
59.
60.
61..
52.
53.
64.
55.
66.

57-
6t.
59.
.lt.40
1934
50.37
5r.37
52.39
53.12
51.17
5J.53
55.6t
57.'.tt
5E.E2
59.95
6r.09
62.25
63.13
61.62
55.E!
67.06
6E.31
69,57
70.t5
72.t1
73.15
11.79
76.t1
77,51
7E.90
80.31
Er,13
83.r8

a+64
86.13
8?.63
E9.15
90.69
92.25
93.E3
95.43
97.05
9E.70
r00.36
r02.u
r03.75
LOs.4t
t07.22
l08.!r9
llo.78
t2.59
1t4.12
lt6.2t
r lE.l5
120.06
l2l.9E
t23.92
t25.E9
r21,tt
129.90
t31.94
134.00
33.1
31.7
35,1

35.7
37.7
38.?
39.8
40.t
41.9
43.0
14.r
45.3
15.4
17.6
1a.7
19.9
51.1
52.1
53.5
54,9
56.2
51.1
58.E
60.1
5t.1
62.A
61.2
65.6
67.0
6t.5
59,9
7t.1
72.9
71.5
?6.0
77,6

79.r
80.7
42.4
84.0
85.7
t7,3
E9.l
90.E
92.5
91.3
96.1
97.9
99.7
101.6
r03.5
105.4
1o7.3
to9.2
lll.2
113.2
115.2
tt7.2
1r9-3
E2.62
82.50
42.39
E2.2E
82,t1
82.05
E1.94
8r.83
E1.?l

81.60
t1.49
Er.37
8t.26
81.t4
81.03
80.91
80.?9
EO.6E
E0.55
80.44
E0.33
E0.21
E0.09
79.97
79.86
79.14
79.52
79.50
79.34
79-26
79.11
79.02
78.90
7t.77
7E.55
78.53
78.41
74.24
74.t6
78.O4
77.91

17.79
77.66
77.4t
77,28
77.16
't7.o3
76.90
76.18
75.65
15.52
16.39
76.26
75.t3
?6.00
75.t7
75.74
?5-60
1.108
1.0E7
r.067
t.o17
t.o27
1.00E
0.990
0.972
0.954
o.937
o.920
0.903
0.8E?
0.87t
0.E55

0.840
0-825
o.Er0
0.796
0.782
0.769
o.755
0.712
o.729
o-7t7
0.704
0.692
0.681
0.669
0-6Ja
0.517
0.538
0.529
0.52r
0.513
0.504
o-196
0.4E6
0.4E0
o.473
0..165
0.,158
0.45t
o.44
o-437
0.430
o.123
o.1t7

0.4t0
0.64?
0.636
o-625
0.6t5
0.604
0.59/t
0.585
0.575
0.J65
0.556
13.4
t3.7
r3.9
11.2
r4.5
t1.7
r5.0
15.3
15.6
15.t
t6.l
16.1
t5.7
15.9
17.2
17.5
t7.a
l8.l
18.3
lE.5
r8.9

t9.2
t9-1
t9.7
20.o
20.3
20.6
20.9
2t.l
21.4
21,.7
22.O
22.3
?2.6
22.4
23.1
23.1
23.7
24.0
21.3
21.6
21.9
25.t
?s.1
25.1
25.O
26.3
26.6
25.9
27.2
27.5
27.E
28.0
24.3

28,6
2E.9
29.2
29-5
29-8
105.5
10r.6
105.?
r05.t
105.9
105.0
105.1
to6.?
106.3
106.4
106.5
106.6
t06-?
105.7
105.8
106.9
107.0
10?.1
ro1.2
10?.3
10?.,1
t0?.5
107.5
l0?.6
1o7.1
107.E
l0?.9
108.0

l0E.t
108.1
108.2
10E.3
l0E.zl
108-5
108.6
108.5
108-7
108.8
10E.9
109.0
109.0
t09.1
1o9.2
109.3
109.3
109.4
109.5
r09.6
109.6
109.7
109.8
r09.9
r09.9
I10.0
Ilo.t
tro. t
110.2
rr0,3
llo.3
0.0299

0.0305
0_0310
0.0316
0.0322
0.032E
0.03t3
0.0339
0.03.r5
0.0350
0.0356
0.0362
0.0357
0.0373
0.0379
0.03t,1
0.0390
0.0396
0.040r
0.0407
0.0413
0.041E
1.0424
0.0129
0.0435
0.0441
0.0446
0.0452
0.0457
0.0453
0.0459
0.047/t
0.04Eo
0.04E5

0.0,191
0.049?
0.0502
0-050E
0.05r3
0.05r9
0.0524
0.0530
0.0536
0.054r
o.os17
0.0552
0.055E
0.0553
0.0559
0.0574
0.0580
0.05t5
0.059r
0.0596
0.0602
0.050?
0.0513
0.0619
0.0624
o.2u7
o.2251
0.2252
0.2250
n.2248
0.2245
o.2u1
0.2242

o.2uo
o.223A
o.2235
0.2233
0.2231
o-2/r9
0.22)7
o.2/)5
o.2/t3
o.2221
o.2219
o.22t1
o.22r6
0.2214
o.z2t2
o.22to
o.2208
o.2206
o.2204
o,2202
0.2200
0.219E
0.2195
0.2195
0.2r93
0.2r9r
0.21E9
0.2ta1
o.2rd5
0.21E4
o.2tt2
0.21E0

0.2t78
0.2r76
0.2t75
0.2173
o.2t7t
0.2t69
0.215E
0.2t56
o-2154
0.2152
o.2l5r
0.2159
0.21J?
0.2155
o,2t54
o.2t52
0.2lJo
o.2149
o.2t17
<con nueci,
6ln Appendix A / Th€rmodynomic ond Thermophyslcol Property
Tobles
IABIE A.SE (conr.)
0.0635
0.O6i1l
0.0646
0.0552
0.0657
0.0663

0.066t
0.0674
0.0679
0.06t4
0.0690
0.0695
0.0701
0.0707
0.07r2
0.0717
o-0723
0.0728
0.0?34
0.0739
0.0?45
0.0?Jo
0.0?55
0.0?51
0.0757
o.0712
0.0778
0.0?63
0.07E9
0.0794
0.0E00
0.0805
0.0811
0.0816
o.0E2l
0.0E27
0.0E32
0.083t
0.0843

0.0849
0.0854
0.0850
0.0E65
0.0t71
0.0876
0.0EE2
0.0887
0.0E93
0.0E99
0.090/t
0.09!5
0.0925
0.0937
0.0949
0.0960
0.097r
0.09E2
0.0993
o-r005
0.2144
0.2t12
0.2140
0.2r39
o.2r37
0.2135
o.2t31
o,2t32
0.2t30
0.2129
o-2121
0.2125

0.2121
o.2t22
0.2120
0.2119
o.2tt7
0.2115
0,2114
0.2r12
0.2110
0.2109
o.2t07
0.2105
0.2lozt
0.2to2
0.2100
0.2099
0.2097
0.2095
0.209?t
o.2092
0.2090
0-2049
0.20E7
0.20t5
0_20E4
0.2082
0.20E0
0.20?8
o_2071
0.20?5
1.20'13
o.2072
0.2010

0.2068
0.2066
0.2065
0.2053
0.2051
o.2057
0.2051
0.2050
0.204?
0.2043
o.2039
o.2035
o.2031
o.2041
30,4
30.?
31.0
31.3
31.6
31.9
32.2
32.5
32.t
33.1
33.21
33.?
34.0
x1.l
31.6
31.9
,5.2
35,5
35.8

35-2
35.5
36.8
3?.1
31-4
37.7
38.0
3t.3
3E.6
39.0
39.3
39.6
39.9
10.2
40.5
40.8
4t.,
41.5
41.8
42.1
12-1
12.8
13.1
43.1
4.3.7
11.1
11.1
,15.0
45.4
15.7
45.4

11.0
47.7
4t.,t
49.1
49.7
50.4
51.1
51.8
1t0.5
tto.5
tlo.6
110.?
1r0.7
110.E
llo.9
r10.9
111.0
1l l.l
tll.l
1l1.2
111.2
111.3
1t 1.3
lll.4
1tt.5
!l1.5
111.6
rt1.6
ll1.?
111.7
111.8
111.8
111.9
lrr.9

112.0
112-O
tl2.l
I r2.l
Lt2-2
112.2
tt2.2
It2.3
tt2.3
1t2.4
t12.1
tt2.1
112.5
It2.5
1r2.5
rt2.6
112.5
112.5
t12.7
rt2.l
tt2.7
tt2.7
112.8
u2.E
1r2.E
112.9
t2.9
t12.9
112.9
lt3.o
113.0
113.0
112.9

0.39t
0.39r
0.385
0.3E0
0.3?it
0.36E
0.363
0.357
0.352
o.3it6
0.3tlt
0.336
0.331
0.325
o,32r
03r6
o.3t2
0.30?
0.302
0.29t
o.291
0,2E9
0.285
0.2E1
o.271
o.27X
o.269
o.255
0.?61
o.257
0.253
0.250

o.u5
o-213
o.239
t.2t6
o.232
o.229
o.225
o.222
0.219
o.2r5
0.213
0.2r0
o.207
0.204
o.201
o.l9E
0.r95
0.192
0.1E7
0.182
o.t77
o.t72
0.r57
0.162
0.t57
0.153
0.148
15.31
75.21
75.0?
71,94
74.80
74.57

11.53
71.39
71.26
74,r2
73,98
73.84
13.10
73.56
13,12
7r.24
73.t1
73.00
12.t6
72.71
12.51
72.42
72,24
12.t1
71.9E
7t,41
71.69
?l.5zt
71.39
7r.u
?1.09
70.91
70.78
70.63
?0.48
70.32
?0.r?
70.01
69.85

69.59
69.53
69.37
59.21
69.05
58.39
6A-72
6E.55
58.39
58.23
6E.06
67.72
57 3a
67.O3
65.67
56.32
65.95
65.59
55.21
54.83
t23-5
t25,6
tn.a
130.0
132.2
131.1
r15.7
13E.9
l/t1.3
143.6
r45.9
14E.3

150.7
t53,2
155.6
15t.1
160.6
t63.2
r55.8
t6E.rt
1?r.o
!?3.5
176.3
179.0
Itt.7
rE4.J
1t?.3
190.1
t93.0
195.9
19t.E
201.7
204.1
20,.7
2ro.7
2t3,8
2r6.8
220.0
223.t
226.3
229.5
232.7
2X6.O
239-3
212.',|

216.O
249.4
252.9
256.3
259.4
266.9
271.2
281.6
289.r
295.7
304.5
3t2-5
3?-0.6
32t.E
r38.19
r40.33
r12.44
r44.6?
146.E7
149.11
t51.35
153.54
r55.95
158.2E
160.64
163.02
165.13
167.87
r70.33
t'12.82
175.31
17?.88
180,45

183.05
tE5.6?
r 88.32
r91.00
193.?1
196.11
199.21
202.00
2A4.82
207.67
2r0.55
2r3-15
216.10
219.16
222.35
225-39
12E.15
24t,5?
23a-55
237.80
240.9E
u1.20
217.4
250.71
251.O2
257.36
250.73
264.13
261.51
27t.O1
271.51
241.61

2E8.tt
296.25
303.71
3tt.42
3t9.22
327.16
335.25
34344
71,
72.
13.
11.
75.
76.
71.
78.
79.
80.
El.
82.
t3.
tl.
85.
t5.
87.
E8.
E9.
90.
91.
92.
93.
91.
95.

95.
97.
9E.
99.
100.
101.
102.
103.
10,1.
r05.
106.
r0?.
l0E.
r09.
llo,
ll l.
rl2.
113.
tl4.
lt5.
116.
tt?.
ll8.
1r9.
120.
tzz.
t71.
126.
12E.
r30.
t31.

r36.
r3t.
Appendix A / Thermodynomlc ond Th6rmophyslcol Property
Toblos
69t
IAttl A.IE Thermodynomic Properties of Woter ol Soturotton
(Engttsh Units)
Tenp
sprifuYohune, ftr/lbn Eithdpy, Btullbn Eiiopy, Btelbn .'R
tbl/it bL Ht
Sat Solid Sot. vozot
vr * 10r
SaL Solid Sr. Jotz
-r30
-r25
-20
-115
-150
-t15
-r40
-35
-110
-105
-100
-95

-90
-85
-E0
-75
-70
-65
-60
-55
-50
-4t
-16
4
12
-10
-3E
-35
-31
-32
-30
-24
-26
-21
-20
-19
-lE
-17
-I6
-10
-9

-8
,7
-5
-5
-3
-2
-t
0
I
2
3
4
-15
-14
-t3
-12
-rt
o.0t5T2
0.02Er,t
0.0a935
0.08392
0.1405
o.2315
o.3762
o.6027
o.9529
t.4s7
2.293
3.495

5.255
?.E50
11.5E
r5.9t
97.45
lll.6
L?7.1
t14.5
161.2
21.44
35.r}t
49,77
70.08
rt5.3
211.t
239.O
270.2
305.2
r083
t111
l20E
t275
t316
t120
r49E
t579
1555
r756

344.3
347.9
2t35.6
490.9
55I.4
61E.5
555.0
693.3
733.1
776.3
821,1
E6t.3
9t7.9
970.2
t025
tE50
1950
t054
tr63
t271
o.o33t2
o.05t2t
o.t00E
0.t?13
o.za6a
oaTn
0.?560
1.23t
t,916

3.O37
4.6E3
7 -136
49.91
7 t.56
101.6
l/,3.r
377E
39EO
4t93
14t6
4650
10.75
15.03
23.61
31.5?
199.E
227.A
259.5
295.1
335-3
t26X
337
t4l6
149E
r565
t676
1773
lE74

l9tl
[email protected]
22tl
2335
?t66
2603
2717
2E99
305E
3225
3100
35t5
3E0.4
131.t
,lE8.0
55t.1
623-l
702.9
792.0
E91.5
lfi)2
tt26
t0_0u25
I o-orz2s
lo.or726
I 0.0r?26
I n n,r,
I o.ottzt
10.0r72t
I O.Ot72a

o.lJt129
o.ot729
0.0r730
o-0r?1r}
0.0t731
0.01731
o.ot132
0.01733
o.o1?33
o.or734
o.ot731
0.01735
o.or735
0.0t736
0.01735
0.01756
0.0173?
0.01737
o.ot737
0.0173E
o.0r?3E
0.ol73E
o.or?3t
o_0r739
0.0r739
0.01739
0.0r739
0.0r740
0.0171()
0.0r7{)

0.01740
0.01?210
0.01740
o.0r?41
o.0t74t
o.ol74r
0.01741
0.01?/tl
o.0l74l
0.or?4r
o.or742
o.oL?42
0.017{2
o.ot742
0.01742
o.ot142
o.or712
0.0r743
0.01?43
0.0r743
o.or7{t
0.017.13
113?00
65670
3E590
23050
t39E0
E5lt
5379
3407

2ta6
t120
9X1.2
52t.5
4lE.t
284,3
r95,3
135,5
u.91
2r.9t
r9.39
l?.13
r5.15
?.12
I1.90
10.56
9.3E3
t.348
94.9r
67.0E
17.41
14.10
7.131
5.524
5.916
5,786
4.724
1.233

/t.00?
3.791
3.594
3.101
3.226
3.05?
2.E98
2.118
2.607
2.411
2.317
2.115
2.00E
t.90?
l.El2
1.722
t.537
1.556
l.4EO
t,447
t-339
t.274
1.213
-2t8.72
"217.O7
-2t5,40
-2t3.70
-2tt.9a
-2t0.u

-2p4.47
-206.58
-20,4.E7
-203.03
-20t.lE
-r99.29
-1973E
-195.45
-19350
-19r52
-Lagl2
-1a1.19
-1E5.4/t
-r4337
-tat,27
-rEo.42
-t79.57
-t74,72
-177.46
[email protected]
-t15.t?
-r75,26
-t74,39
-173.51
-172.63
-t7t.71
-r70.86
-r59.95
-159.07

-15E.16
-t57.7t
-t67-26
-l66.tl
-r66.35
-r65.90
-155.44
-164,98
-t64.52
{64.05
-163.60
-r63.r,t
-162.6E
-t62.2t
-15t.75
-15r_28
-160.E2
J60.35
-159.88
-t59.,tr
t5E.94
-rst.47
,157.99
-t51.52
-r5?.05
991,15
996,97
999.rE
1001.39

1003.60
r{D5.81
1008.02
lol0.23
to12.4.1
1014.65
rot6.E5
1019.07
l02l.2E
t023.19
tl25JO
to27.9l
l030.l2
ro32,.3?
ro34.54
!036.?5
r06E.97
t039.E5
t{J4o.71
l04r.62
LO42-50
1043.39
o14.27
1045.16
rlx6.o4
r046.93
104?.Er
l(NE.70
r049.58
r050.116

r05l,35
1052.23
to52.67
1053.12
1053.55
1054.00
t051.41
105,1.88
1055.33
to53.77
r056.2l
1056.65
1057.6
r057.J3
l057.9t
t05E.42
I05E.E6
t059.30
1059.7/t
t060.r8
!060.62
r06t.o7
l051.5l
r05r.95
1052,39
1062.83
-0.1798
-0.4?{5
-o.1692
,0.4640

-0./t5E7
-0.4t35
-o.447
-o.1430
-0./1378
-0.4326
-o.1271
-o.1xt2
-o.ru70
-o.4r1t
-0.l(t66
-0.40t4
-0.3963
-o.39ll
-0.3E59
-o.3EO8
-0.3756
-o.3736
-0.3?r5
-o.?691
-0.3671
-0,3653
-0.3633
-0.16t2
-o.t592
-0.3571
-0.3550
-0.3530
-0.3509

-0.3489
-0.346t
-0.344E
-0.3137
-o.1127
-o.14t7
-0.3407
-0.3396
-0.3386
-0,3376
-0.3366
-o,3355
-0.3345
-0.3335
-0.3325
-0.3314
-o.!3(X
-o.3294
-03241
-0.3273
-0.3263
-o.3253
-o-3243
-o.3232
-o-3222
-o.32t7
-o.3202
3.43Er
3.3429
3.3295

3.277E
3.2274
x.1794
3.1325
3.0870
3.0429
3.0001
2.9585
2,9142
2.8790
2.E4iO
2.E040
2.7540
2.731r
2.6991
2.6664
2.6338
2.6024
2.5901
2,5779
2.565E
2.5539
?.512t
2.5304
2.5r88
2,5071
2.196t
2.4448
2.4737

2.1627
2.45t9
2.4tt1
2.1X01
2.1251
2.1199
2.1146
2.!,091
2.4042
2.3990
2..3939
2.]EEE
23A37
237a6
2.3736
2.36E6
2.3615
23546
2.3537
231aA
2.3139
2,3390
2.334t
2.3293
2.3215
2.3197
2.3150
2.3103
(conlinued)

675A / Thermodynomlc ond Thermophyslcol Propedy Tobles
IABIE A.lE (cont )
P*"td Spe,ifu Yohne, ltfim EtMpy, Rtu/hd Eniop), Btu/hn.'R
hl/it h- Hg
Sot Solll
v;10 a
&( sriT Sat. Sotd
5
7
E
9
lo
ll
t2
l3
t4
15
l5
t7
IE
r9
20
2t
22

21
25
26
27
2a
29
30
3t
2523
2655
2793
293t
3089
3214
31t4
35tt
3710
3950
4159
4367
4541
4Ell
50.19
5297
5556
5a27
6l t0
5.t05
67t3
7035

731t
7721
80E6
4167
5t52
5121
5703
5999
6308
6632
6971
7325
7597
8085
E49l
t9r6
9350
9421
to3r0
rot20
I t3rl0
I1900
12170
r30to
t37IO
14360
15050
r5?60
l55lo
lTyn

0.01743
o.ot741
0.ot?!t4
0.0174,1
0.01744
o.ot?44
o.ot141
o,0t715
O.O17tl5
0.01745
0.0r745
0.01745
o.oL115
o.01715
0.0r746
o.ot745
0.0lzt6
0.0r746
0.ol?46
0.01745
o.ot717
0.ot117
o-o1747
o.ot11?
0.0r7{7
o.oL117
1.099
1.047
0.997t
0.9500

0.9054
0.E630
o.Ezt8
o.7t,5
o.14a3
o.7t39
0.5E12
0.650r
0.6205
o.5924
0.5657
0.5404
0.5r62
0.4932
o.171
0.4506
0.430c
0.41t9
0.3940
0.3769
0.3605
0.3150
-155.09
-15r.62
J55.14
-r54.66
-r54.1E
-153.70
-153.21
-152.11

-t52.21
,151.76
-15t,27
-r50,78
-r50.30
-t49.E1
-r19.32
-r48.E2
-1la.33
-u7.41
-t17.Xl
{1t6.E5
-115.35
-145.t5
-lrtj.35
-12!t.E5
-144.35
-r43.85
r063.7t
1064.15
r054.59
1065.03
1055.47
1065.92
1066.35
r066,80
1057.U
lrx?.5E
t06t.l2
1068.56

i069.00
1069./t4
l069.EE
to70-32
1o70.76
to?r.20
r07r.54
ro72.ut
L0,2.5t
to12.95
ro73.r9
1073.E3
1o74.27
to?1.7l
-0.3181
-0.3r7r
-0.3161
-03r50
-0.3140
-0.3130
-0.3120
,0.31t)9
,0.3099
-0.30E9
-0.3079
-0.306E
-0.305t
-0.3(xE
-0.303t
-o,toz1

-0.3017
-.0.3007
4.2991
-0.2981
-o.2976
-o.2966
-o.2955
4.2945
-o.2935
-o.2925
2,3009
2.I)52
2.29t5
2.2A59
2.2t43
2.27n
2.2732
2.2646
2.261t
2.2596
2.2552
2.2507
2.2163
2.?/19
2.2375
2.2331
2.22t7
2.224
2.220
2.2t5a

2.2t15
2.2073
2.203t
2.tgEa
2.t916
2,t905
(conlI/l,u€d')
676 Appendix A / Thermodynomic ond Thermophyslcot
property Tobb
TABIE A.lE (cont)
(conllnu9d,
2.rt64
2.t824
2.1193
2.r75a
2.t723
2.1689
2.1554
2.1520
2.r385
2.t55r
2.i518
2.t1a4
2.t45r
2.t117
2.r3E4

2.tl5t
2.l3lt
2.12E6
2.t253
2.1221
2-1tE9
2.1157
2.tt25
2.1093
2.t062
2.1030
2,0999
2.1)96E
2.$31
2.0906
1.0E75
2.0845
2.0815
2.O145
2.0755
,-0125
2.0595
2.0665
2.0636
2-0607
2.O5t8
2.O519
2.0520
2.0491
2.0161

2.0131
2.0406
2,0378
2.03J0
2-0322
2.0291
2-W67
2.0249
2.0212
2.Olt5
2.0151
2.0r30
2.01Ozl
0.0
0.0019,1
0.00392
o.oo5E9
0.00716
0.00984
o.01lEl
0.013?7
0.0157,1
0.017?
0.01967
0.02163
0.02359
0.02554
0.02750
0.02945
0.03140

0.03335
0.03530
0.01124
0.039r9
o.o4rl3
0.04306
0.0,1500
0,04693
O.INEE6
0.050?9
o.o5n2
0,05454
o 05656
o.o5E48
0.05039
0.06230
0.0642r
0.06612
0.06E02
0.06993
o.o?182
o.07372
0.0756r
0.07750
0.0?939
o.0tl2E
0.0$r5
0.0E504
0.0E691
0.06879

0.09055
n-09252
0.09439
0.09509
0.09?98
o.09987
0.lor75
0.r0364
0.10551
0.t0739
o.r0926
lo75.l9
t073.63
1076.0?
!075.51
to76.r5
107?.39
ro?7.E3
to?a.r7
107t.?l
10?9.15
r079.59
10t0.03
10E0.4?
l0to.gl
r0E1.35
t081.?9
loa2.22
1082.56
toE3.tO

1083.54
roE3.9E
10t4./t2
toEzl.t6
10E5.29
1065.?3
r086.r?
lot5.6l
t08?.05
loEr.ztt
roa7.92
10tE.36
totE.80
10E9.23
r089.6?
lo90.tl
1090.54
1090.9E
t09l.4r
l09l.Et
to92.29
ro92.1'
1093.15
1093.59
to94.O3
109,1.,16
1094.90
1095.33
1095.?6
1096.20

1095.63
109?.07
r097.50
0.0
0.95
r.93
2.91
3.E9
4.E5
5.E4
5.t7
?.El
23.61
.51
25.61
25-51
27.63
24.5'
tt.63
30.63
31.53
!2.63
33.61
11.54
35.61
36.64
37.65
3t.55

39.66
,10.66
11.67
12-61
43.5E
$.54
45.69
15.70
47.70
1A.7t
19,53
50.65
51.6E
52.71
51.71
51-76
55.19
56-t2
3301.2
31E0.2
3061,4
2947.5
2838.4
7733.t
2633.5
7537.1
u15.1
2356.5ylll.7
2r90.3
2lt2.l

2037.0
!964.9
1t95.7
n29.7
t'l65.1
l?r)4.0
1545.1
l5EE.4
rr33.9
14t1.5
113.2
r382.8
t136.2
l29l.1t
1248.3
1205.8
ll56.t
ll2E./t
109r.3
r055.7
1021.4
9EE.2t
956.12
925.71
E96.13
E67.51
840.12
8t3.51
78E.05
163.10

739.62
7t6.59
691.56
673.20
552.59
632.70
5r3.49
595.00
5??.0t
559,78
543.06
525.91
511.31
196.23
4t1.67
0.0r602
0.01603
0.or 503
0.0!603
0.0r603
0.01503
0.01603
o.ol603
0.01503
o.ot 603
0.01505
0.01605
0,01505
0.01507

0.01607
0.01607
0.0150?
0.01607
o.0t60E
0.01606
0.0160E
0.01509
o.ol509
0.0r609
o.o16$l
0.01610
o.0l6l0
o.lEorr
0.lEE34
0.19504
0.20rt03
0.71230
o.220a5
o-22913
0.2389r
o.21a12
o.25A26
0.25A41
0.2789t
0.289EE
0.30115
0.312tr
o.32181

o.t17a3
03502r
0.363J3
o.31729
0.3915t
0.40519
o.42t36
0.43?m
o.41320
0.46990
o.4E7l4
0.50493
o.52129
o.51223
o-56r?7
o.J8r92
0.60271
0.6241J
o.61625
0.66903
0.69251
0.7r6?1
o.?4155
o.76111
0.?93E!
o.82lo?
0.E4915
0.87E06
0.907E2
0,93t46

0.9?000
1.0025
r.0359
t.o7v2
1.t056
1.1420
t.t79l
t.2t7a
r.2571
r.29tr
r3399
r.382t
0.08t602
o,@/r4
0.095017
o.099926
0.t039E
0.l0tl7
o-11251
0.1r701
o.t2t67
o.t2549
0.1314?
0,r3663
o.r4r9?
o.l4?50
0.15321
0.r59rr
o.l652l
o-t7t52

0.17t05
0.1E4?9
o,l9l75
0-r989zl
0.20637
0.21401t
o-22191
0.23014
0.23E59
0-24730
o-25629
o.15557
o.27tl1
0.2850r
0.29519
0.30569
0.31551
o.x2761
o.139r7
0.35102
n.35321
0375A2
0.381?8
0.40214
0.415E9
0.43005
o.44162
0.,15953
0.r17J06
0.49098

0.50734
o.5 11
0.54149
0.55930
o.57762
0.59646
o.6r583
0.53575
o-6s643
o-67727
l2
33
31
35
15
3E
39
40
4l
12
1X
41
it5
16
17
zl8
19
50

51
53
51
55
56
5'l
5E
59
60
6l
62
63
61
63
56
67
68
59
70
1t
73
11
75
76
71
1a
79
EO

ET
a2
E3
84
85
E5
a'l
8E
E9
A / Thermodynomlc ond Thsrmophysicol Prop€rty
Iqbles 577
IABTE A.t E (conr.)
(con nud)
9l
92
9t
94
95
95
97
98
99
r00
r01
t02
103

104
r05
106
107
106
r09
r 10
t2L
t12
t23
r24
r25
t25
t27
l2E
t29
130
r31
t32
t33
734
135
r35
t37
r3E
139
140
141
r42
t43

111
t45
t46
147
MA
119
o.72t12
o.71396
0,76712
0.79151
0.Et527
0.E4l5E
0.46779
0,89458
o.922tO
0.9503.1
o.97932
1.009t
1.0396
1.0709
1.t030
1.1360
t.1698
t.2045
t.uoo
t.2755
r.3t3E
r.3521
r.3914
r.4316

t.1729
1.5151
1.558:a
r,5027
t.5182
1.6947
t.742?
t.79tt
l E4ll
1.4922
t.9115
t.9942
2.0530
2.to92
2.t666
2.2251
2.2As5
2.3170
2.1tO0
2.1113
2.5,401
2.6075
2.676X
2.7166
2.8185
2.492t
2.9613
3.0441
3.1226
3.2024

t.47U
1.5190
r.5569
t.6151
1.6566
1.71E5
t.77tt
1.8265
t.8En
1.940a
1.9995
2.0603
2.1226
2.tt65
2.252t
2.3191
2.3E84
2.1592
2.33rt
2.6062
2.542J
2.750,
2.4409
2.9230
x.N77.
3.0935
3.1E19
3.2121
1.3652
3.1602

3.5571
3.557r
,.759t
3.E635
1.9704
4.Ut9E
!l.l9l8
1.3061
4.4237
1.5137
4.6665
1.792t
1.9206
5.0520
5.1864
5323A
5.1641
5.6080
5.7549
5,m50
6.05t5
0_ot6ll
0.or6rl
o.0t6l2
o.0l6t2
0.01612
0.01613
0.01614

0.oI6l4
0.ol5l4
0.01615
0.015r5
0.ol6t5
0.01615
0.01616
0.01616
0.01617
0.01617
o.ol6r8
0.ot6t8
0.0r619
o.0l5l9
0.0t520
0.01620
0.01621
0.0r62r
o.or622
o.ot623
0.0r523
o.or623
0.01524
o.ot6u
0.0r625
0.01625
0.01625

0.01625
o.ot627
0.0r628
0.0t628
0.01629
o.ot629
0.0r630
o.ot630
0.01631
o.ot637
o.ot612
0.01532
0.01633
0.01633
13?.97
4,10.E1
128.13
1tt.a2
143,92
392.4t
3Er.28
370.50
360.O7
349.9E
340-Zl
330.?6
32t.60
3t2-73
3(X.15

295.t3
2E7-71
279.97
272.10
265-O7
251.97
251.O9
241.11
237.95
23t.67
225.59
219.59
2r1.97
20t.42
203.t3
197.t0
192.73
lE7.tl
183.04
17t.40
171-glJ
169.53
155.2E
151.16
157.16
t53,27
149.50
145.E3
112.26
l3E.to

r35.43
t32.t6
t24.97
!25.8t
t22.81
I19.95
ttt.rt
111.34
ll r.65
lo9.o4
106.49
t0a,o2
l0l.6t
99.26t
58.E7
59.E9
50.t1
5t.E2
62.A2
53.63
64.E4
55.85
66.t6
67.A?
6t.88
69.t9
70.90
71.91
72.92

73.93
74.91
75.91
't6.95
77.96
74,97
79.98
E0.99
E2.00
E3-01
E9.05
90-06
9t.o7
92.08
93.09
94.t0
95.10
96.11
97.12
9a.12
99.t3
l0O.l/t
tol.l4
102.r5
103-t6
l0J.l7
l06.lE
107.t8
10t.r9
109.19

llo_20
I I1.20
tt2,2t
lr3-21
tttt.22
tt5.22
tt6.23
tt7.23
1100.96
lr0l.39
l10l.t2
lt0it.25
1102.6E
ll03.lt
rr03.54
tl03.97
I104./10
1r04.E3
tl05.25
t105.69
t106,ll
tl06.54
1106.97
I107.,10
tl07.82
ll0E.25
tlo8.6E
1109.10
ll09.53
1109.96

1rl0.3E
lrlo.Et
llrl.23
lll1.65
llt2.0E
lll2.50
tlt2.93
rrl3.35
ltt3.77
tl14.l9
ltt4.62
ll t5.04
tl15.t6
ltlS.EE
lll6.30
ttt5.72
lrl?.1r1
t117.56
rl t?.9E
lll8.40
ll1E.8l
1r19.23
llt9.65
tt20.o7
It20.4E
I I20.90
tt2t.32
tL2t.73
ll22.t5
1122.56

tt22.97
1123.39
I123,80
Ltu,2l
tt21.63
tt25.o1
r r25.,15
o.ll299
o.l t4E5
o.l 165 t
o.t lE33
o.l20l5
o.t2t97
0.123?8
o.t2560
o.t2?40
o,t292r
0.t3lol
o.t?2gt
0.13460
0.13639
o.l3Er8
0.1399?
o.r4l75
0.r4353
0.14530
o.1707
o.ra8E4
o.l506l
o,t5237

0.15413
0.155E9
o.t5761
0.r5939
0.16t14
0.t 6288
o.t6162
0.15636
0.16809
0.169E2
o.r7l55
0.t7327
0.t?500
o.t767t
0.t7813
o.l80ra
o.tElt5
o.tE355
0.1E526
0.18696
o.l8E65
0.19035
0.192(x
o.19312
0.19541
0.19?09
0.r98?5
0.2q)44
0-20211
0.20318

0.20545
o.aoTtt
o.2oa77
0.2r043
o.2t20a
o.2t37'
2.WC
[email protected]/21
1.9991
t.997t
l 9945
r.99tt
t.9tql
r.9t5a
1.9u2.
1.9tr7
t.979t
r.91'.
r.97at
t.91ra
1.969r
1.96(.
1.954t
1.9617
L.95vt
1.956t
1.954
r.9520
l.9ut9a
t.9172

1.91,|
t.9121
l.9r()t
t.93n
1.93tr
1.9330
t.93q,
t.ylu
t.925t
t.v7ga
1.92r6
1.9193
1.9r70
t.9lur!
1.9r26
l.9r(B
l.qltr
1.qlJ9
1.9037
1.9015
l.E99a
r.8972
l.E9ro
l.89'
t.tgct
l.8tt6
1.8855
1.E8ut4
t.Etz1
1.8E02

l.87El
1.8760
r.8?39
t.8?19
l.E69t
6rg Appendix A / lhermodynomic ond Thermophysicol property
TABLE A.I E (cont)
1.655E
t.t537
1.8517
1.t597
La577
1.E55?
1.E537
r.85lE
l.Eit98
r.t/t76
1.E459
l E440
t.8420
1.E401
1.8382
1.E363
r.E34,l
r.$25
t.E305
l.E2E7

r.825E
1.t250
l.E23l
1.8213
1.8r94
l.El?6
l.El58
1.E1/t0
l.tl2r
r.tl03
l.EOE5
1.806?
l.EO50
1.t032
1,8014
r.799'.1
1.1979
t.1952
1.1914
t.1927
1.?909
t.7892
1.78?5
r.7E58
t.?E4t
t.1AU
r.7t0?
t.7190
1.7774
t.11s1

t.1110
11744
t:l'lo7
1.7691
t-7571
1.?558
1.7512
o.2l?02
0.21856
n-220!0
n.2rt94
0.22337
0.a2520
o.226a3
0.22A16
0.2300E
0.231?O
0-23331
o-21193
o,23651
0.88r5
o.25EEO
o.26031
0.2519iI
0.26351
o.25J07
0.26663
0.26E19
0.76971

0.27130
0.27?a5
o.21410
o.27594
o.2'1718
o.27903
0.2E056
0.2E210
0.28363
0.2t515
0.2E669
o.28A22
o-2a971
o.29127
o,29n9
0.29!t30
o,295N2
o.29',133
o.29tE,t
o-1r0035
91.154
97.595
90.491
8t.42
N6.u7
Ert.5M
a?.512
E0.769
7X,911
77.225

75.522
13-862
12,u5
?0.659
69.r33
57.516
56.111
6a-155
53.36E
62.015
50.697
59.412
5E.t5t
56.935
55.117
54.578
53-113
31.255
J0.200
19.11r
48.165
!t?.tE6
16.224
45.294
41342
43.49r
42.521
1t-772
10.913

40.133
39.411
3r.568
3?.E13
!7.O75
36.355
35-650
11-964
x1.2a9
33.632
32.9E9
32.35r
!1.741
31.111
30.559
29 9E6
29.411
28.875
2a339
0-01652
0.0t652
0.01653
o.or654
0.0155't
0.01655
o.ot555
0.01656
0.01657
0.0r557

0.ol55E
0.0r659
0.01659
o.ol660
o.0l55l
0.0166r
o.ol662
0.01653
0.01553
0.0r664
0.0r565
0.01565
0.0r655
0.01557
0.0156?
o-01658
0.0r669
0.01669
t5.6Et
16,03E
r6.394
r6.757
r7-126
17.503
r?.E86
ta.276
rE.6?4
r9.o7E
19.490
t9.9t)9

20.136
20.170
2t.212
2.562
7.0293
?.1E83
?.3503
?.5153
7.6E35
7.E548
E.m93
t.20?0
8.3tE0
t.5723
E.7600
E.9512
9.r458
9.3439
9.5456
9.75l}9
9.9599
lo.l73
ro.3E9
10.609
r0.834
r1.062
tt.z94
r 1.530

11.??0
r2.0r,
t2.163
r2,515
t?.773
13.035
r3.301
t5l
t52
153
154
rJ'
156
151
r58
159
150
161
162
163
151
155
156
l5?
15E
169
170
t7l
t72
t73
111

115
1?6
t77
r7E
l'19
r80
186 I
r8? I
1SS I
189 I
reo
I
191
r97
r93
191
r95
r95
r91
19E
199
200
201
,o2
I 2or
I rol
I 205
Lo.
I 201
I zos

I 209
lcontlnued)
t
a
a
?
:
I
a
I:
!:
g
i:
a
s
ia
=
Et
tABtE A.rl (cont)
t-757'
t.?56r
r.?5L
t.7L4
-7319

t.7214
1.72r0
t.7t11
r_7w
r.6996
t.692t
1.6t59
r.57ln
1,67
1.556r
1.659?
1.5534
t.6172
1.5411
1.53J1
t.6291
1.6233
r.5l?5
t.6lrt
1.6051
r.5005
1.5950
1.5E95
1.5412
1.57E8
.5735
r.5683
1.5531
1.55t0
t_5529

r.5rt7t
l.5rl2E
r.53?E
t.s329
r.52EO
r.52tr
t.5tt2
1.5134
1.5085
t.503t
1.,1990
1.4943
r.4E95
1.484t
l.4EOr
1.1754
1.1707
1.4550
r.4613
1.4565
1.45t9
t.1412
t.1125
1.43?8
0.310t5
0.312:|4
0.31681
o.32120
0.33r55
0.33tE5

0.3/1610
0.35331
0.36059
0.36?66
0.3746E
0.3t167
o_38862
0.39571
o.40261
o-rt0!,54
o.4t54l
0.12325
o.,l!005
o-43682
0,4,4356
o,15021
0.45696
0.4635r
o.47gu
O.rl?583
0.4834r
0.1E995
0.49617
0.5029?
0.50943
0.51588
o.52290
o-12869
0.53506
0-54141

o.517't4
0.55404
0.56033
0.56659
o.51243
0-57905
0.58525
0,59r44
0.59?60
0.60375
0.609E9
0.61601
0.622lr
o.52a2l
o.$49
0.64036
o 64642
n.55Ut
0.55853
0.65457
o.67052
o.67665
0-68270
tt19-91
1!50.30
ll5t.42
r l$.2t
lr55.t2
r156.93

rl5E.73
I160.51
tt62.26
I164.00
1r65.71
1157.40
tl59.o?
rl?o.71
tt72.37
73.9r
tt75.17
1t77.00
ll?t.Jl
ll79,9E
I l8l./13
llE2.Ezl
ttl,,,22
tlE5.57
1rE6.89
lltt.17
I lE9.zll
I t90.51
tt9t.7a
ttyt.gl
tt93.99
t r95.04
I196.0,1
t197.00
ll9?.9r
ll9t.7E

rr99.60
1200.37
L20t.o9
1201.?5
12w.38
t202.r4
1203.45
1203.90
l2(x.30
tz04.63
l2ty.91
r205.12
1205.27
r205.35
t205.37
t205-X2
t205.20
1205.01
t201.75
1204.41
120t.99
203.19
r2o2.92
rt3.35
1Et.3E
l93.ilo
n300
76.794
25.r55
21.t50

2t.l5E
r9385
t7.717
t6.325
r5.0r2
t1.421
12.747
rr.?61
r0-t7t
r0.066
9.3257
t.6499
t.03r9
7 -166t
6-91,1
6.17t3
6.033t
5.6313
5-2605
1.9t87
1.6032
4.31t6
4.0ar9
3.7922
3.5601
3.3159
3.1465
2.9611
2-7t81
2.5741

2.1181
2-7381
2.ZOa1
2.0466
t.9726
1.8660
1.766'
t.6725
r.5E4?
t.5023
1.4u9
1.352t
L2A36
l.rt9l
r.r583
t.l0lr
1.04? I
0.9960?
o.91't9'
0.9m40
0.E5936
0.ElE6,l
0.?E007
o.74351
0.70E91
o.ol6?r
0.016?l
0.016?,r
0.0r677
o.ol6Et

0.015E5
0.0l5EE
0.01692
0.01696
0.01700
0,01704
o.0t?09
o.0l?13
0.ol7t7
o.ot122
o.ot125
0.0t731
0.ol?36
0.01740
0.0r745
0.or?55
0.01750
0.0r765
0.0r771
0.01776
0.017E2
o.0r?87
o.0l?93
o-0r799
0.0tElt
0.01817
o.01tzi
o.0rE30
o.0tt36

0.otE/tl
0.olt50
0.01655
0.01a63
0.01E71
0.0ltE5
0.o1193
o-o1901
0.0r909
0.ol9t7
0.0r925
0.0193.1
0.0191t3
0.0t961
o-o1970
o.0t9E0
0.01990
0.02r)00
o-mo10
o.t o12
29,442
30.013
3!.E,t2
35-O93
3E.6r9
12.129
16.512
50.97E
55.751

60.E90
66-406
12.323
7a-651
85.114
92.692
100.43
r0E.58
111.17
t25.a2
t?6.11
117.32
158.52
r70.19
rE2.96
196.25
2r03r
/25.t4
240.80
25?.31
n1.69
292,99
312.21
?32,17
353.71
376.00
399.3E
123.44
419.51

176.39
504.17
533.E3
55,1.50
595.5r
529.92
661.76
?0r.07
73t.E9
778-21
tr9.25
t5l-t7
906.1E
952.22
1000.0
1049.7
l!01.2
1154.6
r2ro.o
1267.1
1a26.9
14.,110
14.699
15.595
r7.tE9
rE.9l{
20.74
22.795
24.961
27.jr07

29.8/Z
32.521
35.122
18.525
4t.84t
45.398
49.rEE
53.229
57.5r1
62.t15
66.98:l
72.r51
1'.t.6X9
t3.453
89.60E
96.119
103.00
tto.27
tt7.94
126.O2
L?4.54
143.50
r57.93
162.t3
t73.21
1E4.16
195.50
207.64
220.t7

233.32
247.O4
261.13
276.17
292.t6
30t.52
325,5E
34t.36
36r.t9
38r.rE
10t.25
122.12
113.42
166,37
449.79
5l/t.lo
539.33
565.19
592.52
520.73
649.85
27r
217
215
220
225
230
235
210
215

250
255
260
265
270
275
2ao
245
290
293
3U)
305
335
340
,15
350
355
350
365
370
375
3E0
385
390
39s
400
405
135
uo
145

450
155
460
465
410
175
4EO
485
490
195
Appendix A / Ihermodynomic ond Thermophysicol Property
Toblee
Answers (Q11-Q16)

MAE 4175 El Final Exam
6-8 PM on April 29,2013
(Textbook and psychrometric chart only)
Student Name
Problem I (20 points)
Find values of humidity ratio, enthalpy, ffid specific volume for
saturated air at 14.696 psia
pressure for temperatwe of 75F from a psychrometric chart and
calculate the same values using
perfect gas relation and Table A.1
Problem 2 Q0 points)
Determine solar incidence angle for a south-facing vertical

surface at 1500 hr local solar time on
June 21, 40 degree North latitude.
Problem 3a (20 points)
Calculate the overall thermal resistance and average U factor
using the parallel-path method and
the isothermal-plane method for the 7 5/8 in. thick insulated
concrete block wall. The two-core
block has an u*r*g" web thickness of 1 in. and a face shell
thickness of 1
L/o in. Overall block
dimensions are I Sig by 7 5/8 by 15 5/8 in. Measured thermal
resistances of ll2 lblft3 concrete
and,T lb/ft3 expanded perlite insulation are 0.1 and
2.9h.frZ.F/Btu per inch, respectively.
Thermal resistanc*r of inside surface film and outside surf,ace
film are 0.68 and 0.L7 h.ftz.FlBtu,
respectively. The fractions of webs and cores to the total cross
section area are 0.192 md 0-808.
EXF*,.IDED FERLITE I'-ISUI.ATION
Problem 4 QA points)
Calculate the instantaneous rate of heat gain using Eq. 15.30,
Btu/hr.ft2, through a sunlit flat-roof
construction similar to No. 5 of Table 15.6 at 3:00PM solar time

on an average clear day at
Minneapolis for January. The indoor temperature is assumed to
be 70F.
Estimate the amount of natural gas (cc$ required to heat a home
located in Atlanta, Georgia, for
one year if &e value for UA is 2000 Btu/hr.F, the internal gain
is 10,000 Btu&r, the thermostat is
set at 70F when the heating system is on, and the steady state
heating system efficiency is 85%.
It is assumed that the winter design temperature at 99o/o is 17F,
Eq. 17.11may be used to
calculate cycling loos, and duct loss fraction is 0.1 .
assignment.pdf
MAE 4175 El Final Exam
6-8 PM on April 29,2013
(Textbook and psychrometric chart only)
Student Name
Problem I (20 points)
Find values of humidity ratio, enthalpy, ffid specific volume for
saturated air at 14.696 psia
pressure for temperatwe of 75F from a psychrometric chart and
calculate the same values using

perfect gas relation and Table A.1
Determine solar incidence angle for a south-facing vertical
surface at 1500 hr local solar time on
June 21, 40 degree North latitude.
Problem 3a (20 points)
Calculate the overall thermal resistance and average U factor
using the parallel-path method and
the isothermal-plane method for the 7 5/8 in. thick insulated
concrete block wall. The two-core
block has an u*r*g" web thickness of 1 in. and a face shell
thickness of 1
L/o in. Overall block
dimensions are I Sig by 7 5/8 by 15 5/8 in. Measured thermal
resistances of ll2 lblft3 concrete
and,T lb/ft3 expanded perlite insulation are 0.1 and
2.9h.frZ.F/Btu per inch, respectively.
Thermal resistanc*r of inside surface film and outside surf,ace
film are 0.68 and 0.L7 h.ftz.FlBtu,
respectively. The fractions of webs and cores to the total cross
section area are 0.192 md 0-808.
EXF*,.IDED FERLITE I'-ISUI.ATION

Problem 4 QA points)
Calculate the instantaneous rate of heat gain using Eq. 15.30,
Btu/hr.ft2, through a sunlit flat-roof
construction similar to No. 5 of Table 15.6 at 3:00PM solar time
on an average clear day at
Minneapolis for January. The indoor temperature is assumed to
be 70F.
Estimate the amount of natural gas (cc$ required to heat a home
located in Atlanta, Georgia, for
one year if &e value for UA is 2000 Btu/hr.F, the internal gain
is 10,000 Btu&r, the thermostat is
set at 70F when the heating system is on, and the steady state
heating system efficiency is 85%.
It is assumed that the winter design temperature at 99o/o is 17F,
Eq. 17.11may be used to
calculate cycling loos, and duct loss fraction is 0.1 .
sampleProblem-table-equations.pdf
The rate of heat transfer to the irterior is termed the
,.instantaneous heat gain._IHG, and is given by
q,: IHG = hiQ*,i* t) (
By Eqs. (1s.22) and (15.29),

*= Ul[t",* + Irr. r cos(o10 - t,
[email protected],)+],2r..2cos((,)20 _ll,z_%)+...] _ r-] (i5_1,
where
V
(15.31)
The quantity I, in Eq. (15.30) is called the dec,rement
factor.The angle <D, is the anguladisplacement or lag between a
harmonic of tne sot-air temp^"ritr." anO the same har-monic of
the inside-surface rcmperature and heat flux-
&XAMPLE IS.2
Thc liSht{.,)l(n cd
'rrf
rt a .uildinp i;.ri.nlil lh.,ughoul a (lcru d,y rnt July 21 . Its
I{)rati(nr N.{l d..s_nr)nh tariruJc. variarion ,,i.-r ,ii ,.,rp",iir.;
,;;;;ili ;;:'J.y io givun irr .l ahtc15.4. Ite roo{ xon$istr of 6 in. of
c()nrtete, cr}vered by a t hin iayer of nroling which may
henegleclcd in the s()lulir)n. 'l,,e lcrnr.r0turu rlf thc insiie ai,
ao,i il,i"ri,l, surr,un<.ling surtaccsir 7ll'F' I)crcrminr'(a) thv rarc
ofirear tra tlnis,ii,' lhrough lhc rx)frr) the r(xnrr bekrw.verthe
lidl day a,,d (b) the rak .f heat tra,smissiru i't, their,.r:r it lreat-
rtorag"
"rlbcts
of lheconclclo tlah Arc neglccted.
ltolatlon:
(l) Sinc!'*e ere uiing thble 15.4tne,havcrrr,,=.1.111g,u7,,.lr'..t..
lty.l.al)lc J4.1./l, = t.(ItBtu/hr - Il? . .F. By Tthte 14.{ tp, p =
t4{) l,Jii;. i = r zir j ] ,.u tr,rrr,, . r, . "t,.. = l).21 Btullt'm , ,tr.
]tus, {r = I.r)/(140)(0.21) = 0.Of.r fiirirr, ry riq. frS.Z:1.
It* |I 0.5 , = t).57 Btu/hr . ,lr .

.l
t.ot
i
t.tt
|
.t.rrr
.. __ llte.fixrdametltal anguiar velocity tt, = 2r/?4 = (].26lti
rad/hr = t5 deg/hr. llybq, (15.2.t).
,,'=
{,i,1,1,ii., - re6rt
i
aud .,, * V2 o * 2.77 fi r..llrus rr, r. - ().91i Bnd rr?1, = 1.385.
Ly Eq. (1j.26).
* - l,ll;?,9,',?,, +, 11,.s:ro11r.r+.s1
, | (.].r))(r.$) _l-
lrii*iriii,, - r llr'r*,:;1r rzrr, , l,',11,J,,i]i,1,,,.557r))(r s20)
* 1.9.19
By Eq. (1.5.27),
4Al Porl V / HeotingF. ond CoolingElood Colculolions in
Buildings
IABU 15.5 Conslonls for Eq. (15.30) for Vorlous Flot{oof
Construcllons. All lnclude bulll-up rootlng. Nos. l-3 hov€ on olr

rpoce
below loyer I ond obove o metol lolh ond ploster ceiling. Nos.
6-8 hove o 0.5 ln. (1.3 cm) gypsum ploster ceillng under loyer
B.
Io
No. Descfiplion
U
Btu/ .fr2 .'F
(W/m'z .'C) )tr
or,
deg )t2
o2,
deg
Wnter Summer Wntet Summet Wlntet Summer Wntet 9ummet
Wnler Summer
I A: 2 in. (5 cm) cellulor
gloss insulolion
B: 2 in. (5 cm)
concrete
0.137
(0.778)
0.r28
(o.727)
0.506 o.47 66.0 70.0 0.280 o.241 86.6 89.2
2 A: 2 in. (5 cm) cellulol

gloss insuloilon
B: 4 ln. (10 cm)
concl€t6
0.134
(0.76r)
0.125
(0.7r0)
o.279 o-zt 86.2 88.s o.142 0.121 I06.5 108.0
3 A: 4 in. (10 cm)
concrele
B: 2 in. (5 cm) cellulor
gloss insulollon
0.r34
(0.761)
0.125
(0.7r0)
0.566 0.5t 9 68.5 72.2 0.320 o.2 97.3 lm.2
4 Some qs No. I excepl
no oir spoce ond no
ceiling
0.159
(0.e03)
0.150
(0.8s2)
0.788 o.674 44.5 54.1 0.536 0.414 70.3 78.5

5 Some os No. 2 except
no olr spoc€ ond no
celllng
0.t55
(0.880)
0,I rt6
(0.829)
0.5I8 0.405 70.8 74.4 o.246 o.213 97.3 1e2.2
6 A 4 in. (10 cm)
exponded polystyrene
insulolion
B: 4 in, (10 cm)
conc16l€
0.0653
(0.37r)
0.0637
(0.362)
0.444 0.348 76.2 82.7 o.2aa 0.0t 8 t 01.8 105.8
7 A: 4 ln. (10 cm) cellulor
gloss insulotion
B: 4 in. (I0 cm)
concreta
o.o773
(0.rl:}9)
0.0838

(0.476)
o.444 0.345 89.5 93.8 o.222 0.17l 127.3 127.5
I A: 8 in. (20 cm)
corkboord
B: 4 in. ( 10 cm)
concrele
0,032r
(0.r 82)
o.fi)17
(0.r 80)
0.t64 0.125 20,,..3 21 1.0 0.035 0.026 297.5 301.9
Table B.2 contains monthly and annual degree-day
information for seven cities in
the United States. The rnit, on tt'" O"giee-dafoata in.ttre
table are "'F'days'" The
;;";Hy ;;";;;;.utdoor-ar temperaiur? is utso ptovioed' Data are
listed for five values
of zero-load temperature: ,,. ",'oo,
el tttt" traditional. vatue)' and 70'F Note that the
annual number of degree days in"reaiessignificantly-
with an increase in zero-load tem''
perature for each locadon' Addi;ttt;il;;;"d"y data. are published
in reference [2]'

Erbs et al. [3] presented a metnoJi" "tti-it"
tf'e monthly and annual number of degree
davs based on monthty rn"un-u*Ui""t-i"lnperature data'
This method is useful in loca-
tions where degree-day data are unavailable'
The main use ot tn" O"gt"elJiy tetf'oO f to estimate the amount
of
fuel that will
be required to provide space hea ni{or a building' The amount
of energy required"E''
;;:;;i;:;;put.'tt'' ru"r 'li'itt,nent'
tr,'iv dividing it bv the average heating-
system efficiency and by the fuel heating value:
The average heating-system efficiency, 1*' is defined I. th: r?tio
of the thermal output
from the heating system divideo ufihi'n#ting nutu" ot the fuel
or energy input averaged
;;; ;; fi-#;6J or trr" unurvtit' not iottiftu"r t*naces this efficiencv
is
less than the
steadv-state value. cycting at parii;uJ'Jt'""t tl'" u*ount of heat
delivered to the build-
"fi:ffi;; ffi;iil: fl"'"' A-sHRAr 1r1 gi'"t equatio-ns to estimate
rl,l for various

types of heating systems that "t" "
i"""ilo"'dt"-ersizing of the heating-system capacity
and the amount of heat losr out the ductwork' The
heatilg-system average efficiency can
be estimated from
E"
'P
"tnH
CF ny
: 0.7791 + 0.1983RLC - 0'0711(RLCF
(17.e)
(17.10)
(17.11)
r7.r2)
240,*".0".,r,(DD),., (17.13)
(/,, a*,en - L, u""t . h, Il
rL, CFpt
l.h: T+;;
where q". is the steady-state or rated heating-system
efficiency without cycling' CF'1 is a
funcrion of the type of heating tyti"* "J
pi"ii rclad efficiency' and o' is the fraction of

heat loss from ducs. For exampte, the vatui for CFr,
for a natural-gas furnace with inter-
mittent ignition is given as
where
RCL:
aod Oo*ou, is the rated output of the heating
equipment' For fossil-fuel furnaces CF'1 is
alwavs less than 1.0. For electrlc furnu""t ""i
hiui"tt the value is equal to 1'0'*-"'i;rot;;;;q..-tri.zl,
trilsi' '"d-iri'sr'
we can obtain an expression.ror the
amount of tuel used to provide tp'il f'""tirrg that dep^ends on
the design
heat-loss'and
temDerature conditions, ttre numtei of deg.J" duy. riferenced
to the correct zero-load
#Hffi;.ffi;;;;;.;;;il;"v"'^ "fti'l'*v' and the hearins
varue of the ruel:
24(UA)"ff (DD)..,
F: :
'P 1l,tH
Pof V / Heotlng- ond Coolinqlood Colculotions in Buildings$2
Qou,p*

15.2 suMMER DES',o't' co'{D',r'o'{s
The maximum heat gain
ever likely to be achieved in a
given building depends'on the out-
doorweatherffiiiil^t''r'"i"ati"""tp"t*u"'iu"iit..tiaitytttltt''uodthlus
aeeof
thespaceltd;#;;ili;u'"ait""t"amo"oiiinir'upt"rl2'Spaceoccupancva
nd
"tr,".
int"*"ri-"L.-"*'oi."r"*o in a later
seci'in in ,r,ir'"rtup,"t' fue will
focus on the
ffi #;;hffi fl"::uffi i}:;#;x*:::nil#'ilJ'#il:*:il:::
radiation is oflen treated
as clear-sky radlau^or
lationlevelsro,."r},i,ry"ooaidonsaregiveninChapter13.
Table r5.l lists some summer design
,..pJi"'"r"t i.r selected cilies around the
*o'ra' rn"t" it'i""i*Lt u'" ^"ut"'"d 't "i;;;
;t"ther weather slations The data
in raule rs'i rtaie been slatisticallv
*"rv'"[Jotl' ti-y"* p"rioo for which hourlv

weather data exist' --
c'r""i'"ii"'i""' the desisn drY-burb t'.TIffi.H ;,#ffi:itt;;;:1ff
t:t?*:H:
bv*"T:-T;"#y.:$ff ';:llt:'"lH'l[ff Hi;;;i'"u'io";rhedrY-butbtem-
mean coincident w"t-oiT''::-ti":"",.:;: i"Ll"'"r"o tt
"xceeded
I percent' 2'5 percenl'
*r+:x*}5;3;u;0#15,ffi I'-i'm*'ffi*i#:+ern HemisPJ
from Canad
fABtE t5.t Summe] Deslgn Climotic
Conditions
Col. 2
Design Dry'
Bulb/Meon
coincldent Wet8ulb
TemPeotwe <"F)
Col. 4
Deslgn Wet-
Butb <'F)
Col.3
Meon
DoilY
Ronge
<'F)

Co[5
Prcvoillng
Wnd
Dieclion5%2.5%
5%CoL I
Locotlon 1%
2.5%
svdney, Auslrolio
Rio de Joneiro, Brozil
Edmonlon, Conoclo
Quebec, Conoclo
Poris, Fronce
Bomboy, lndio
Iokvo, JoPon
Meico CitY, Mexico .
aope Tor'n, Soulh Alnco
Kiev, Ukroine
Moscow, Russio
Slockholm, Sweden
Tunis, Iunisio
o€nver, USA
bs Angeles, USA
Miomi, USA
MinneoPolis, UsA
New York, USA
8el
941
85166
87 172
8el

96/
e/
83/
e3l
87/
ul
7Sl
1U2l
93/59
83/68
9t /77
v2/75
v2174
l3
ll
23
20
21
't3
l4
25
20
22
2l
l5
22
28
l5
l5
22
l7
s
s

E
SE
wsw
SE
s
SW
u/
e2/
82/65
u/70
86/
94/
ael
sl/
n/
u/
8r/
74/
9e/
9t /59
80/68
90/77
89/73
89/73
80/
nl
79163
81/68
83/
E2l
87/
19/
861
Ell

78/
72/
961
wlag
77 /67
as l7'1
s6171
87 /72
NE
s
SE
E
NW
S
N
74 73 72
80 79 7S
68 66 65
74 72 70
70 68 67
a2 8l 8l
8l 80 79
61 60 59
72 71 70
69 68 67
69 67 65
./ 6260
77 76 74
&6362
70&68
79 79 78
77 75 73

76 75 74
@
ofidb t q3' w' 24'4-24 22'
CIEP. 15 / lnsionloneous Haot ooln
473
IAILE I5'5 Conslonls in Eq.
ot MinneoPolis
(15.13) for o Horizonlol Su oce to] cleqr Doys
fime ol Yeot
t.,^
"Frc
L,
'F/"C
Sz
deg
*r
deg
t",,
'F/"C
Averoge Jonuory doy
Winter design doy
Aveloge April doy
Averoge JulY doy

summel design doy
Averoge October doy
7.9/-13.4
-8.61-22.6
66.0/18.9
95.7 /35.4
105.5/40.8
63.8/17.7
14.4/8.O
13.6/7.6
36.2120.r
39.2/21.8
40.3122.4
27.O/15.O
202.2
204.0
196.0
r93.0
t91.0
I99.0
8.514.7
8.2/4.6
1't.9/6.6
9.3/5.2
e.2/5.1
12.0/6.7
I 1.9
I r.9

0.0
-1.8
-1.8
r0.2
canbeprogrammedonasmallcomputerolcalculatorforcalculationth
loughanydesired
number of harmonics'
Example 15'1 shows that sol-air temperatue variation for
a ho zontal surface can
be adequatety re"prlt"'i"i Uv
"
f"*i"r se;es with two harmonics' However' valiation of
," for vertical ""iu""'
diff"rs much more from pure sine-wave behavior than for
a hori-
zontal surface' In ii" "ut"
of
"ottf''
east' and w;st vertical surfaces' six or more harmon-
ics maY be needed'
cerre.aty]i".iooic heat transfer through a sunlit vertical wall is
small compared to
hear ffansfer rr,i|rgi-.
"
.*rit flat roof of th; same area. Thus. usually it is more impor-

tant to have *""'"'" .J"i' temperature information for a horizontal
surface than
for
vertical surfaces'
Followinj the same procedures described here' James C' Dunn-
developed
a
computef p."d;"";;;;;;i"J oirrnur sol-air remDerature variations
for horizontal
and vertica suiice. i-
"r"",
a^y.
"t
vrinneapolis for six different times of year [2]' Table
r5.s sfrows tris reluttfi. u fr"tirootuf surface. Constants in Eq.
(15.13) ar-e shgwn throush
t*otu,rno-
"t'Co"tuntsforthewinterdesigndayweredeterminedforclearDecem
-
ber-
Februarydayswhoseminimumlemperatureswereapproximately_20
"F.(_29"C).
constants for ;;.r--", a.G" a"y weie determined for clear June-
August days
whose
maximum temperatures were ipproximately 95 "F (35 "C)'

15.1 PEP'ODIC HEAT OA//N fiHPOUGH WALIS AND ROOFS
Heattransferthroughwallsandroofscanbetreatedasdiurnalforpurpo
sesofdesigncal-
culations. There-firJirr" ."r-* ,"-perature becomes the external
thermal boundary
con-
dition and the-indoor temperaturi becomes the indoor
thermal boundary condition.
rn"re tounoury'JorrJitions'u." coupled to the solid material
through
the external and
i,t"rrur .onu""iiu-t"-tiai"tiue turt'ce fitm coefficients' Thus the
problem becomes one in
which the .otlo t'^t convective coefficients on both sides with
the
fluid temperatures
changing in u ai"rnJrn*"t' The most important assumptions to be
made
on the solid
wall or roof ari':*(f i.i"-J rr""i,ransfer is'by conduction only (or
pseudoconduction
if
natural convedio; and infrared radiation are present in
air cavities or in porous insula-
tion), (2) co,,tiil"sisionc"s between layers o1 material are
neglected'

and (3) air infil-
tration/exfiltrationthroughthewallorroofconstructionisnegligible.
t|El
ctloP 15 / lnstonloneous H6ot Goin
IABIE A.3E Thelmodynomlc Propedies of R-22 ot Sqturotion
(Engllsh Units)
Ttp
Liquin
De^tity
h,n41,
Sp- YoL
fi"b,
Entvlpy, Datun
-&"F, Batllbn
Entropy, DalM
-40'F, Rtulhtk .'R
L'4ud
ht
la,id
,100.
,95.
-90.

_85.
-E0.
-?5.
-70.
-55.
-60.
o.
l.
2.
4.
5.
5,
1-
9.
-5E.
-55.
-51.
-52.
-50.
-18.
-46.
-11.
-12.
-40.
-ta.
-36-
-31.
-32-
-30.
-29,

-24.
-25.
-u.
-23.
-2t.
-20,
_19.
-18.
-t7.
-16.
-t5.
-14.
-13.
-r2.
-ll.
. -LO.
-9,
-8.
-7.
-5.
-5.
-4.
"3.
-t_
2..40
2.47
3-12
4.05
1.78

5.61
5.55
7.61
t.E1
9.33
9.EE
10./15
t 1.04
t!.67
t2.?2
13.00
13.7
14.14
t5.21
r6.02
16.r5
t7.72
1E.62
r9.55
20.05
20.51
2r.(X
2t,55
22.ON
22.6t
23.t5
23.70
21.26
21.43
25.42
26.01
26.5t

27.23
2?.A3
24.49
29-tl
29.40
x0.41
3t.!5
31.E4
32.55
33.27
34.00
34.74
35.49
36.26
37.O1
37.A1
38.6,1
?9.15
10,29
4t.14
12.00
12.A7
13.76
41.66
45.57
46.50
+25.r
.21.1
.23.O
.21.7
.20.2
a18.6

.r5.5
.l/1.5
.t.o
.10,9
.9.E
.t.7
.7.5
.5.2
+4.9
+3.5
.2.O
.0.5
0.5
2.2
3.0
t.9
lo.r
10.7
lt.3
It.9
t2.5
13.2
13.8
t1-1
l5.t
rr.8
I
I rr.rI r?-9I rr-e
I rr.rI 20.OI uo.r
I z:EI ;i.i
1,,,
| 24.E

I zc.t
I ttz
I l.t-z
I uc.r
I ro-o
I ro-cI rr-e
4.9
5.4
5.8
6.3
6.9
7.1
7.9
8.5
9,0
9.5
93.77
93.31
92.85
9234
91.91
9!.,13
90.95
90.17
E9.99
a9.79
E9.60
E9./to
E9.20
E9.01
88.8t
EE.5I
EE.4I

E8.21
tE.0l
t7.El
87.60
E1.40
87.20
E6.99
86-t9
45.79
E6.6E
E6.58
86.4E
a6.!7
45.2',1
86.17
E5.06
E5.95
85.t5
E5.75
85-54
85.5,1
85,43
E5.33
85.22
a5.t2
85.01
E4.90
E4.EO
64.59
E4.58
84.48
84.3?
u.25

E4.15
E4.04
83.94
E3.83
a9.72
83.6r
83.50
83.39
a3.28
E3.l?
83.05
,2.95
E2.84
I
18.444
r5.5E8
13.213
I1.30?
9.700
E.360
1.236
6.259
5.1a7
5.201
1.931
46aZ
1.416
4.2U
/t.016
x.820
3,635

3.461
3.29',1
3.143
2.997
2.A39
2.729
2.605
2-541
2.490
2.434
2.3E0
2.327
2.216
2.245
2.177
2.130
2.0E3
2.038
1.995
t.952
1.911
1.E70
1.831
t-792
1.755
l.?19
1.683
r.5/tE
1.515
1.5E2
r.550
t.518
1.48E

l.tl5E
t.429
1.400
1.373
1.345
1.319
1.291
1.254
1.241
1.220
1.196
1.174
r.l5l
-t4,6
-r3a
-12.2
-11.0
-9.E
-t.5
-7.4
5.2
-5.0
1.5
-4.0
-3.5
-3.0
-2.5
-2.O
-1.5
-l.o
-0.5

0.0
0.5
l.o
t.5
2.0
2-5
2.4
3.1
3.3
3.6
3.E
4.1
4,5
4,9
5.1
5.4
5.7
5.9
6.2
6.4
6.7
7.0
7.3
?.E
E.O
8.3
i.5
E.6
9.1
9,3
9.6

9.9
10.1
10.,1
to,7
10.9
tt.2
I t.5
lr.t
12.0
12.3
12,6
r2.8
93.4
94.0
94.5
95-r
95.7
96.3
96.9
91.1
98.0
9A.2
9E.5
98.7
9E.9
99.1
99.1
99.6
99.E
r00.0

100.3
100.1
100.?
r00.9
10r.1
101.3
101.5
101.6
lol.7
l0t.E
101.9
102.0
102,1
ro2,2
t02.3
to2.1
r02.5
r02.6
t02,7
102.8
to2.9
l0:t.0
lo3.l
r03.3
r03.4
t03.5
103.6
r03.7
r03.E
103.9
104.0
104.1
t01.2

104.3
r04.4
104.5
r04.5
104.7
r04.8
104.9
r05.0
r05.1
105.2
105.2
105.3
-0.03?3
-O.O3rll
-o.tl:tu)
-o.o217
-0.0a16
-o.02lrt
,0.0r83
-0.0r52
-0.0121
-0.0109
-0,m97
-0.(x)E5
-0.00?3
-0.0050
-0.0048
-0.0036
-0.rD24
-0.0012
0.00{0
0.0012

0.oor4
0.0036
o.0{!lE
0.0060
0.0056
o.oo72
0.007E
0.0083
o.ooE9
0.0095
o.0lol
0.0107
0.0tr3
0.0119
0.0125
0.0131
0.0137
0.0142
0.0r4t
0.015/t
0.0160
0.0r66
0.0172
o.or7E
0.01t3
0.olE9
0.0195
0.0201
0.0207
0.0212
0.0218
o.0271
0-0230

0.0235
0.oul
0.0247
0.0253
0.0r59
0.0265
0.0270
o.o276
o.o2a2
0.o2EE
0.2621
o.2602
o.2518
0.2556
o.2531
0.2513
o.219X
0.2174
0,2155
0.2(E
o.241
o.2131
0.24n
0.2121
o,ur1
o,2407
o.2401
0.2395
0.2388
o.2382
o.2376
o.2370

0.2365
o.2x59
0.2356
0.2353
0.2350
o.231E
0.2345
0.2312
0.2339
0.2337
o.2331
o.2x3t
0.2329
o.2325
o.2323
1.132r
0.231E
0.2315
o.2313
0.23t0
0.2308
0.2305
0.2303
0,2301
o-2298
o.2296
o.2293
o.229r
0.228E
0.2246
0.2244
o.22at

o.2279
0.2277
0.2271
0.2272
0.7270
o.xr6a
o.2255
o.2253
o.226t
r Inchcs of trrcrcury bclow onc statrdard armosphcrc (29.y2 in).
A / Thermodynomic ond Thermophysicol Propslty Tobles
(co,, nued)
IABIE A.3E (cont)
TW.
Ltsu4
De tity
bnltr
ut
Sp:VnL
E hthy, Datun
-40"F. Btulbn -40"F.Ettllbnt'R
pflg
Ltcuid Liquid

11.
13.
t1.
15.
15.
17.
lE.
19.
20.
21.
22.
23.
21,
25.
25.
24.
29.
30.
31.
12.
3tl.
36.
37.
38.
39.
40.
41.
12.

13.
45.
46.
4E.
19.
50.
5r.
52.
53.
54.
55.
56.
57.
5E-
59.
60.
61..
52.
53.
64.
55.
66.
57-
6t.
59.
.lt.40
1934
50.37
5r.37
52.39
53.12

51.17
5J.53
55.6t
57.'.tt
5E.E2
59.95
6r.09
62.25
63.13
61.62
55.E!
67.06
6E.31
69,57
70.t5
72.t1
73.15
11.79
76.t1
77,51
7E.90
80.31
Er,13
83.r8
a+64
86.13
8?.63
E9.15
90.69
92.25
93.E3
95.43
97.05

9E.70
r00.36
r02.u
r03.75
LOs.4t
t07.22
l08.!r9
llo.78
t2.59
1t4.12
lt6.2t
r lE.l5
120.06
l2l.9E
t23.92
t25.E9
r21,tt
129.90
t31.94
134.00
33.1
31.7
35,1
35.7
37.7
38.?
39.8
40.t
41.9
43.0
14.r
45.3

15.4
17.6
1a.7
19.9
51.1
52.1
53.5
54,9
56.2
51.1
58.E
60.1
5t.1
62.A
61.2
65.6
67.0
6t.5
59,9
7t.1
72.9
71.5
?6.0
77,6
79.r
80.7
42.4
84.0
85.7
t7,3
E9.l
90.E
92.5

91.3
96.1
97.9
99.7
101.6
r03.5
105.4
1o7.3
to9.2
lll.2
113.2
115.2
tt7.2
1r9-3
E2.62
82.50
42.39
E2.2E
82,t1
82.05
E1.94
8r.83
E1.?l
81.60
t1.49
Er.37
8t.26
81.t4
81.03
80.91
80.?9
EO.6E

E0.55
80.44
E0.33
E0.21
E0.09
79.97
79.86
79.14
79.52
79.50
79.34
79-26
79.11
79.02
78.90
7t.77
7E.55
78.53
78.41
74.24
74.t6
78.O4
77.91
17.79
77.66
77.4t
77,28
77.16
't7.o3
76.90
76.18

75.65
15.52
16.39
76.26
75.t3
?6.00
75.t7
75.74
?5-60
1.108
1.0E7
r.067
t.o17
t.o27
1.00E
0.990
0.972
0.954
o.937
o.920
0.903
0.8E?
0.87t
0.E55
0.840
0-825
o.Er0
0.796
0.782
0.769
o.755
0.712
o.729

o-7t7
0.704
0.692
0.681
0.669
0-6Ja
0.517
0.538
0.529
0.52r
0.513
0.504
o-196
0.4E6
0.4E0
o.473
0..165
0.,158
0.45t
o.44
o-437
0.430
o.123
o.1t7
0.4t0
0.64?
0.636
o-625
0.6t5
0.604
0.59/t
0.585
0.575

0.J65
0.556
13.4
t3.7
r3.9
11.2
r4.5
t1.7
r5.0
15.3
15.6
15.t
t6.l
16.1
t5.7
15.9
17.2
17.5
t7.a
l8.l
18.3
lE.5
r8.9
t9.2
t9-1
t9.7
20.o
20.3
20.6
20.9
2t.l
21.4

21,.7
22.O
22.3
?2.6
22.4
23.1
23.1
23.7
24.0
21.3
21.6
21.9
25.t
?s.1
25.1
25.O
26.3
26.6
25.9
27.2
27.5
27.E
28.0
24.3
28,6
2E.9
29.2
29-5
29-8
105.5
10r.6
105.?
r05.t

105.9
105.0
105.1
to6.?
106.3
106.4
106.5
106.6
t06-?
105.7
105.8
106.9
107.0
10?.1
ro1.2
10?.3
10?.,1
t0?.5
107.5
l0?.6
1o7.1
107.E
l0?.9
108.0
l0E.t
108.1
108.2
10E.3
l0E.zl
108-5
108.6
108.5
108-7

108.8
10E.9
109.0
109.0
t09.1
1o9.2
109.3
109.3
109.4
109.5
r09.6
109.6
109.7
109.8
r09.9
r09.9
I10.0
Ilo.t
tro. t
110.2
rr0,3
llo.3
0.0299
0.0305
0_0310
0.0316
0.0322
0.032E
0.03t3
0.0339
0.03.r5
0.0350

0.0356
0.0362
0.0357
0.0373
0.0379
0.03t,1
0.0390
0.0396
0.040r
0.0407
0.0413
0.041E
1.0424
0.0129
0.0435
0.0441
0.0446
0.0452
0.0457
0.0453
0.0459
0.047/t
0.04Eo
0.04E5
0.0,191
0.049?
0.0502
0-050E
0.05r3
0.05r9
0.0524
0.0530
0.0536

0.054r
o.os17
0.0552
0.055E
0.0553
0.0559
0.0574
0.0580
0.05t5
0.059r
0.0596
0.0602
0.050?
0.0513
0.0619
0.0624
o.2u7
o.2251
0.2252
0.2250
n.2248
0.2245
o.2u1
0.2242
o.2uo
o.223A
o.2235
0.2233
0.2231
o-2/r9
0.22)7
o.2/)5
o.2/t3

o.2221
o.2219
o.22t1
o.22r6
0.2214
o.z2t2
o.22to
o.2208
o.2206
o.2204
o,2202
0.2200
0.219E
0.2195
0.2195
0.2r93
0.2r9r
0.21E9
0.2ta1
o.2rd5
0.21E4
o.2tt2
0.21E0
0.2t78
0.2r76
0.2t75
0.2173
o.2t7t
0.2t69
0.215E
0.2t56
o-2154
0.2152

o.2l5r
0.2159
0.21J?
0.2155
o,2t54
o.2t52
0.2lJo
o.2149
o.2t17
<con nueci,
6ln Appendix A / Th€rmodynomic ond Thermophyslcol Property
Tobles
IABIE A.SE (conr.)
0.0635
0.O6i1l
0.0646
0.0552
0.0657
0.0663
0.066t
0.0674
0.0679
0.06t4
0.0690
0.0695
0.0701
0.0707
0.07r2

0.0717
o-0723
0.0728
0.0?34
0.0739
0.0?45
0.0?Jo
0.0?55
0.0?51
0.0757
o.0712
0.0778
0.0?63
0.07E9
0.0794
0.0E00
0.0805
0.0811
0.0816
o.0E2l
0.0E27
0.0E32
0.083t
0.0843
0.0849
0.0854
0.0850
0.0E65
0.0t71
0.0876
0.0EE2
0.0887
0.0E93

0.0E99
0.090/t
0.09!5
0.0925
0.0937
0.0949
0.0960
0.097r
0.09E2
0.0993
o-r005
0.2144
0.2t12
0.2140
0.2r39
o.2r37
0.2135
o.2t31
o,2t32
0.2t30
0.2129
o-2121
0.2125
0.2121
o.2t22
0.2120
0.2119
o.2tt7
0.2115
0,2114
0.2r12
0.2110

0.2109
o.2t07
0.2105
0.2lozt
0.2to2
0.2100
0.2099
0.2097
0.2095
0.209?t
o.2092
0.2090
0-2049
0.20E7
0.20t5
0_20E4
0.2082
0.20E0
0.20?8
o_2071
0.20?5
1.20'13
o.2072
0.2010
0.2068
0.2066
0.2065
0.2053
0.2051
o.2057
0.2051
0.2050
0.204?

0.2043
o.2039
o.2035
o.2031
o.2041
30,4
30.?
31.0
31.3
31.6
31.9
32.2
32.5
32.t
33.1
33.21
33.?
34.0
x1.l
31.6
31.9
,5.2
35,5
35.8
35-2
35.5
36.8
3?.1
31-4
37.7
38.0
3t.3
3E.6

39.0
39.3
39.6
39.9
10.2
40.5
40.8
4t.,
41.5
41.8
42.1
12-1
12.8
13.1
43.1
4.3.7
11.1
11.1
,15.0
45.4
15.7
45.4
11.0
47.7
4t.,t
49.1
49.7
50.4
51.1
51.8
1t0.5

tto.5
tlo.6
110.?
1r0.7
110.E
llo.9
r10.9
111.0
1l l.l
tll.l
1l1.2
111.2
111.3
1t 1.3
lll.4
1tt.5
!l1.5
111.6
rt1.6
ll1.?
111.7
111.8
111.8
111.9
lrr.9
112.0
112-O
tl2.l
I r2.l
Lt2-2
112.2
tt2.2
It2.3
tt2.3

1t2.4
t12.1
tt2.1
112.5
It2.5
1r2.5
rt2.6
112.5
112.5
t12.7
rt2.l
tt2.7
tt2.7
112.8
u2.E
1r2.E
112.9
t2.9
t12.9
112.9
lt3.o
113.0
113.0
112.9
0.39t
0.39r
0.385
0.3E0
0.3?it
0.36E
0.363
0.357
0.352

o.3it6
0.3tlt
0.336
0.331
0.325
o,32r
03r6
o.3t2
0.30?
0.302
0.29t
o.291
0,2E9
0.285
0.2E1
o.271
o.27X
o.269
o.255
0.?61
o.257
0.253
0.250
o.u5
o-213
o.239
t.2t6
o.232
o.229
o.225
o.222
0.219

o.2r5
0.213
0.2r0
o.207
0.204
o.201
o.l9E
0.r95
0.192
0.1E7
0.182
o.t77
o.t72
0.r57
0.162
0.t57
0.153
0.148
15.31
75.21
75.0?
71,94
74.80
74.57
11.53
71.39
71.26
74,r2
73,98
73.84
13.10
73.56
13,12

7r.24
73.t1
73.00
12.t6
72.71
12.51
72.42
72,24
12.t1
71.9E
7t,41
71.69
?l.5zt
71.39
7r.u
?1.09
70.91
70.78
70.63
?0.48
70.32
?0.r?
70.01
69.85
69.59
69.53
69.37
59.21
69.05
58.39
6A-72
6E.55
58.39

58.23
6E.06
67.72
57 3a
67.O3
65.67
56.32
65.95
65.59
55.21
54.83
t23-5
t25,6
tn.a
130.0
132.2
131.1
r15.7
13E.9
l/t1.3
143.6
r45.9
14E.3
150.7
t53,2
155.6
15t.1
160.6
t63.2
r55.8
t6E.rt
1?r.o

!?3.5
176.3
179.0
Itt.7
rE4.J
1t?.3
190.1
t93.0
195.9
19t.E
201.7
204.1
20,.7
2ro.7
2t3,8
2r6.8
220.0
223.t
226.3
229.5
232.7
2X6.O
239-3
212.',|
216.O
249.4
252.9
256.3
259.4
266.9
271.2
281.6
289.r

295.7
304.5
3t2-5
3?-0.6
32t.E
r38.19
r40.33
r12.44
r44.6?
146.E7
149.11
t51.35
153.54
r55.95
158.2E
160.64
163.02
165.13
167.87
r70.33
t'12.82
175.31
17?.88
180,45
183.05
tE5.6?
r 88.32
r91.00
193.?1
196.11
199.21
202.00
2A4.82

207.67
2r0.55
2r3-15
216.10
219.16
222.35
225-39
12E.15
24t,5?
23a-55
237.80
240.9E
u1.20
217.4
250.71
251.O2
257.36
250.73
264.13
261.51
27t.O1
271.51
241.61
2E8.tt
296.25
303.71
3tt.42
3t9.22
327.16
335.25
34344
71,

72.
13.
11.
75.
76.
71.
78.
79.
80.
El.
82.
t3.
tl.
85.
t5.
87.
E8.
E9.
90.
91.
92.
93.
91.
95.
95.
97.
9E.
99.
100.
101.
102.
103.

10,1.
r05.
106.
r0?.
l0E.
r09.
llo,
ll l.
rl2.
113.
tl4.
lt5.
116.
tt?.
ll8.
1r9.
120.
tzz.
t71.
126.
12E.
r30.
t31.
r36.
r3t.
Appendix A / Thermodynomlc ond Th6rmophyslcol Property
Toblos
69t
IAttl A.IE Thermodynomic Properties of Woter ol Soturotton

(Engttsh Units)
Tenp
sprifuYohune, ftr/lbn Eithdpy, Btullbn Eiiopy, Btelbn .'R
tbl/it bL Ht
Sat Solid Sot. vozot
vr * 10r
SaL Solid Sr. Jotz
-r30
-r25
-20
-115
-150
-t15
-r40
-35
-110
-105
-100
-95
-90
-85
-E0
-75
-70
-65
-60
-55

-50
-4t
-16
4
12
-10
-3E
-35
-31
-32
-30
-24
-26
-21
-20
-19
-lE
-17
-I6
-10
-9
-8
,7
-5
-5
-3
-2
-t

0
I
2
3
4
-15
-14
-t3
-12
-rt
o.0t5T2
0.02Er,t
0.0a935
0.08392
0.1405
o.2315
o.3762
o.6027
o.9529
t.4s7
2.293
3.495
5.255
?.E50
11.5E
r5.9t
97.45
lll.6
L?7.1

t14.5
161.2
21.44
35.r}t
49,77
70.08
rt5.3
211.t
239.O
270.2
305.2
r083
t111
l20E
t275
t316
t120
r49E
t579
1555
r756
344.3
347.9
2t35.6
490.9
55I.4
61E.5
555.0
693.3
733.1

776.3
821,1
E6t.3
9t7.9
970.2
t025
tE50
1950
t054
tr63
t271
o.o33t2
o.05t2t
o.t00E
0.t?13
o.za6a
oaTn
0.?560
1.23t
t,916
3.O37
4.6E3
7 -136
49.91
7 t.56
101.6
l/,3.r

377E
39EO
4t93
14t6
4650
10.75
15.03
23.61
31.5?
199.E
227.A
259.5
295.1
335-3
t26X
337
t4l6
149E
r565
t676
1773
lE74
l9tl
[email protected]
22tl
2335
?t66
2603
2717
2E99
305E

3225
3100
35t5
3E0.4
131.t
,lE8.0
55t.1
623-l
702.9
792.0
E91.5
lfi)2
tt26
t0_0u25
I o-orz2s
lo.or726
I 0.0r?26
I n n,r,
I o.ottzt
10.0r72t
I O.Ot72a
o.lJt129
o.ot729
0.0r730
o-0r?1r}
0.0t731
0.01731
o.ot132
0.01733

o.o1?33
o.or734
o.ot731
0.01735
o.or735
0.0t736
0.01735
0.01756
0.0173?
0.01737
o.ot737
0.0173E
o.0r?3E
0.ol73E
o.or?3t
o_0r739
0.0r739
0.01739
0.0r739
0.0r740
0.0171()
0.0r7{)
0.01740
0.01?210
0.01740
o.0r?41
o.0t74t
o.ol74r
0.01741
0.01?/tl

o.0l74l
0.or?4r
o.or742
o.oL?42
0.017{2
o.ot742
0.01742
o.ot142
o.or712
0.0r743
0.01?43
0.0r743
o.or7{t
0.017.13
113?00
65670
3E590
23050
t39E0
E5lt
5379
3407
2ta6
t120
9X1.2
52t.5
4lE.t
284,3
r95,3

135,5
u.91
2r.9t
r9.39
l?.13
r5.15
?.12
I1.90
10.56
9.3E3
t.348
94.9r
67.0E
17.41
14.10
7.131
5.524
5.916
5,786
4.724
1.233
/t.00?
3.791
3.594
3.101
3.226
3.05?
2.E98
2.118
2.607

2.411
2.317
2.115
2.00E
t.90?
l.El2
1.722
t.537
1.556
l.4EO
t,447
t-339
t.274
1.213
-2t8.72
"217.O7
-2t5,40
-2t3.70
-2tt.9a
-2t0.u
-2p4.47
-206.58
-20,4.E7
-203.03
-20t.lE
-r99.29
-1973E
-195.45

-19350
-19r52
-Lagl2
-1a1.19
-1E5.4/t
-r4337
-tat,27
-rEo.42
-t79.57
-t74,72
-177.46
[email protected]
-t15.t?
-r75,26
-t74,39
-173.51
-172.63
-t7t.71
-r70.86
-r59.95
-159.07
-15E.16
-t57.7t
-t67-26
-l66.tl
-r66.35
-r65.90
-155.44
-164,98
-t64.52

{64.05
-163.60
-r63.r,t
-162.6E
-t62.2t
-15t.75
-15r_28
-160.E2
J60.35
-159.88
-t59.,tr
t5E.94
-rst.47
,157.99
-t51.52
-r5?.05
991,15
996,97
999.rE
1001.39
1003.60
r{D5.81
1008.02
lol0.23
to12.4.1
1014.65
rot6.E5
1019.07

l02l.2E
t023.19
tl25JO
to27.9l
l030.l2
ro32,.3?
ro34.54
!036.?5
r06E.97
t039.E5
t{J4o.71
l04r.62
LO42-50
1043.39
o14.27
1045.16
rlx6.o4
r046.93
104?.Er
l(NE.70
r049.58
r050.116
r05l,35
1052.23
to52.67
1053.12
1053.55
1054.00
t051.41
105,1.88

1055.33
to53.77
r056.2l
1056.65
1057.6
r057.J3
l057.9t
t05E.42
I05E.E6
t059.30
1059.7/t
t060.r8
!060.62
r06t.o7
l051.5l
r05r.95
1052,39
1062.83
-0.1798
-0.4?{5
-o.1692
,0.4640
-0./t5E7
-0.4t35
-o.447
-o.1430
-0./1378
-0.4326
-o.1271
-o.1xt2

-o.ru70
-o.4r1t
-0.l(t66
-0.40t4
-0.3963
-o.39ll
-0.3E59
-o.3EO8
-0.3756
-o.3736
-0.3?r5
-o.?691
-0.3671
-0,3653
-0.3633
-0.16t2
-o.t592
-0.3571
-0.3550
-0.3530
-0.3509
-0.3489
-0.346t
-0.344E
-0.3137
-o.1127
-o.14t7
-0.3407
-0.3396

-0.3386
-0,3376
-0.3366
-o,3355
-0.3345
-0.3335
-0.3325
-0.3314
-o.!3(X
-o.3294
-03241
-0.3273
-0.3263
-o.3253
-o-3243
-o.3232
-o-3222
-o.32t7
-o.3202
3.43Er
3.3429
3.3295
3.277E
3.2274
x.1794
3.1325
3.0870
3.0429
3.0001
2.9585

2,9142
2.8790
2.E4iO
2.E040
2.7540
2.731r
2.6991
2.6664
2.6338
2.6024
2.5901
2,5779
2.565E
2.5539
?.512t
2.5304
2.5r88
2,5071
2.196t
2.4448
2.4737
2.1627
2.45t9
2.4tt1
2.1X01
2.1251
2.1199
2.1146
2.!,091

2.4042
2.3990
2..3939
2.]EEE
23A37
237a6
2.3736
2.36E6
2.3615
23546
2.3537
231aA
2.3139
2,3390
2.334t
2.3293
2.3215
2.3197
2.3150
2.3103
(conlinued)
675A / Thermodynomlc ond Thermophyslcol Propedy Tobles
IABIE A.lE (cont )
P*"td Spe,ifu Yohne, ltfim EtMpy, Rtu/hd Eniop), Btu/hn.'R
hl/it h- Hg
Sot Solll

v;10 a
&( sriT Sat. Sotd
5
7
E
9
lo
ll
t2
l3
t4
15
l5
t7
IE
r9
20
2t
22
21
25
26
27
2a
29
30
3t

2523
2655
2793
293t
3089
3214
31t4
35tt
3710
3950
4159
4367
4541
4Ell
50.19
5297
5556
5a27
6l t0
5.t05
67t3
7035
731t
7721
80E6
4167
5t52
5121
5703
5999
6308

6632
6971
7325
7597
8085
E49l
t9r6
9350
9421
to3r0
rot20
I t3rl0
I1900
12170
r30to
t37IO
14360
15050
r5?60
l55lo
lTyn
0.01743
o.ot741
0.ot?!t4
0.0174,1
0.01744
o.ot?44
o.ot141
o,0t715

O.O17tl5
0.01745
0.0r745
0.01745
o.oL115
o.01715
0.0r746
o.ot745
0.0lzt6
0.0r746
0.ol?46
0.01745
o.ot717
0.ot117
o-o1747
o.ot11?
0.0r7{7
o.oL117
1.099
1.047
0.997t
0.9500
0.9054
0.E630
o.Ezt8
o.7t,5
o.14a3
o.7t39
0.5E12
0.650r

0.6205
o.5924
0.5657
0.5404
0.5r62
0.4932
o.171
0.4506
0.430c
0.41t9
0.3940
0.3769
0.3605
0.3150
-155.09
-15r.62
J55.14
-r54.66
-r54.1E
-153.70
-153.21
-152.11
-t52.21
,151.76
-15t,27
-r50,78
-r50.30
-t49.E1
-r19.32
-r48.E2

-1la.33
-u7.41
-t17.Xl
{1t6.E5
-115.35
-145.t5
-lrtj.35
-12!t.E5
-144.35
-r43.85
r063.7t
1064.15
r054.59
1065.03
1055.47
1065.92
1066.35
r066,80
1057.U
lrx?.5E
t06t.l2
1068.56
i069.00
1069./t4
l069.EE
to70-32
1o70.76
to?r.20
r07r.54
ro72.ut

L0,2.5t
to12.95
ro73.r9
1073.E3
1o74.27
to?1.7l
-0.3181
-0.3r7r
-0.3161
-03r50
-0.3140
-0.3130
-0.3120
,0.31t)9
,0.3099
-0.30E9
-0.3079
-0.306E
-0.305t
-0.3(xE
-0.303t
-o,toz1
-0.3017
-.0.3007
4.2991
-0.2981
-o.2976
-o.2966
-o.2955
4.2945
-o.2935

-o.2925
2,3009
2.I)52
2.29t5
2.2A59
2.2t43
2.27n
2.2732
2.2646
2.261t
2.2596
2.2552
2.2507
2.2163
2.?/19
2.2375
2.2331
2.22t7
2.224
2.220
2.2t5a
2.2t15
2.2073
2.203t
2.tgEa
2.t916
2,t905
(conlI/l,u€d')
676 Appendix A / Thermodynomic ond Thermophyslcot

property Tobb
TABIE A.lE (cont)
(conllnu9d,
2.rt64
2.t824
2.1193
2.r75a
2.t723
2.1689
2.1554
2.1520
2.r385
2.t55r
2.i518
2.t1a4
2.t45r
2.t117
2.r3E4
2.tl5t
2.l3lt
2.12E6
2.t253
2.1221
2-1tE9
2.1157
2.tt25
2.1093

2.t062
2.1030
2,0999
2.1)96E
2.$31
2.0906
1.0E75
2.0845
2.0815
2.O145
2.0755
,-0125
2.0595
2.0665
2.0636
2-0607
2.O5t8
2.O519
2.0520
2.0491
2.0161
2.0131
2.0406
2,0378
2.03J0
2-0322
2.0291
2-W67
2.0249
2.0212

2.Olt5
2.0151
2.0r30
2.01Ozl
0.0
0.0019,1
0.00392
o.oo5E9
0.00716
0.00984
o.01lEl
0.013?7
0.0157,1
0.017?
0.01967
0.02163
0.02359
0.02554
0.02750
0.02945
0.03140
0.03335
0.03530
0.01124
0.039r9
o.o4rl3
0.04306
0.0,1500
0,04693

O.INEE6
0.050?9
o.o5n2
0,05454
o 05656
o.o5E48
0.05039
0.06230
0.0642r
0.06612
0.06E02
0.06993
o.o?182
o.07372
0.0756r
0.07750
0.0?939
o.0tl2E
0.0$r5
0.0E504
0.0E691
0.06879
0.09055
n-09252
0.09439
0.09509
0.09?98
o.09987
0.lor75
0.r0364

0.10551
0.t0739
o.r0926
lo75.l9
t073.63
1076.0?
!075.51
to76.r5
107?.39
ro?7.E3
to?a.r7
107t.?l
10?9.15
r079.59
10t0.03
10E0.4?
l0to.gl
r0E1.35
t081.?9
loa2.22
1082.56
toE3.tO
1083.54
roE3.9E
10t4./t2
toEzl.t6
10E5.29
1065.?3
r086.r?
lot5.6l

t08?.05
loEr.ztt
roa7.92
10tE.36
totE.80
10E9.23
r089.6?
lo90.tl
1090.54
1090.9E
t09l.4r
l09l.Et
to92.29
ro92.1'
1093.15
1093.59
to94.O3
109,1.,16
1094.90
1095.33
1095.?6
1096.20
1095.63
109?.07
r097.50
0.0
0.95
r.93
2.91

3.E9
4.E5
5.E4
5.t7
?.El
23.61
.51
25.61
25-51
27.63
24.5'
tt.63
30.63
31.53
!2.63
33.61
11.54
35.61
36.64
37.65
3t.55
39.66
,10.66
11.67
12-61
43.5E
$.54
45.69
15.70
47.70

1A.7t
19,53
50.65
51.6E
52.71
51.71
51-76
55.19
56-t2
3301.2
31E0.2
3061,4
2947.5
2838.4
7733.t
2633.5
7537.1
u15.1
2356.5ylll.7
2r90.3
2lt2.l
2037.0
!964.9
1t95.7
n29.7
t'l65.1
l?r)4.0
1545.1
l5EE.4

rr33.9
14t1.5
113.2
r382.8
t136.2
l29l.1t
1248.3
1205.8
ll56.t
ll2E./t
109r.3
r055.7
1021.4
9EE.2t
956.12
925.71
E96.13
E67.51
840.12
8t3.51
78E.05
163.10
739.62
7t6.59
691.56
673.20
552.59
632.70
5r3.49
595.00

5??.0t
559,78
543.06
525.91
511.31
196.23
4t1.67
0.0r602
0.01603
0.or 503
0.0!603
0.0r603
0.01503
0.01603
o.ol603
0.01503
o.ot 603
0.01505
0.01605
0,01505
0.01507
0.01607
0.01607
0.0150?
0.01607
o.0t60E
0.01606
0.0160E
0.01509

o.ol509
0.0r609
o.o16$l
0.01610
o.0l6l0
o.lEorr
0.lEE34
0.19504
0.20rt03
0.71230
o.220a5
o-22913
0.2389r
o.21a12
o.25A26
0.25A41
0.2789t
0.289EE
0.30115
0.312tr
o.32181
o.t17a3
03502r
0.363J3
o.31729
0.3915t
0.40519
o.42t36
0.43?m

o.41320
0.46990
o.4E7l4
0.50493
o.52129
o.51223
o-56r?7
o.J8r92
0.60271
0.6241J
o.61625
0.66903
0.69251
0.7r6?1
o.?4155
o.76111
0.?93E!
o.82lo?
0.E4915
0.87E06
0.907E2
0,93t46
0.9?000
1.0025
r.0359
t.o7v2
1.t056
1.1420
t.t79l
t.2t7a

r.2571
r.29tr
r3399
r.382t
0.08t602
o,@/r4
0.095017
o.099926
0.t039E
0.l0tl7
o-11251
0.1r701
o.t2t67
o.t2549
0.1314?
0,r3663
o.r4r9?
o.l4?50
0.15321
0.r59rr
o.l652l
o-t7t52
0.17t05
0.1E4?9
o,l9l75
0-r989zl
0.20637
0.21401t
o-22191
0.23014

0.23E59
0-24730
o-25629
o.15557
o.27tl1
0.2850r
0.29519
0.30569
0.31551
o.x2761
o.139r7
0.35102
n.35321
0375A2
0.381?8
0.40214
0.415E9
0.43005
o.44162
0.,15953
0.r17J06
0.49098
0.50734
o.5 11
0.54149
0.55930
o.57762
0.59646
o.6r583
0.53575

o-6s643
o-67727
l2
33
31
35
15
3E
39
40
4l
12
1X
41
it5
16
17
zl8
19
50
51
53
51
55
56
5'l
5E
59

60
6l
62
63
61
63
56
67
68
59
70
1t
73
11
75
76
71
1a
79
EO
ET
a2
E3
84
85
E5
a'l
8E
E9

A / Thermodynomlc ond Thsrmophysicol Prop€rty
Iqbles 577
IABTE A.t E (conr.)
(con nud)
9l
92
9t
94
95
95
97
98
99
r00
r01
t02
103
104
r05
106
107
106
r09
r 10
t2L

t12
t23
r24
r25
t25
t27
l2E
t29
130
r31
t32
t33
734
135
r35
t37
r3E
139
140
141
r42
t43
111
t45
t46
147
MA
119
o.72t12
o.71396

0,76712
0.79151
0.Et527
0.E4l5E
0.46779
0,89458
o.922tO
0.9503.1
o.97932
1.009t
1.0396
1.0709
1.t030
1.1360
t.1698
t.2045
t.uoo
t.2755
r.3t3E
r.3521
r.3914
r.4316
t.1729
1.5151
1.558:a
r,5027
t.5182
1.6947
t.742?
t.79tt

l E4ll
1.4922
t.9115
t.9942
2.0530
2.to92
2.t666
2.2251
2.2As5
2.3170
2.1tO0
2.1113
2.5,401
2.6075
2.676X
2.7166
2.8185
2.492t
2.9613
3.0441
3.1226
3.2024
t.47U
1.5190
r.5569
t.6151
1.6566
1.71E5
t.77tt
1.8265

t.8En
1.940a
1.9995
2.0603
2.1226
2.tt65
2.252t
2.3191
2.3E84
2.1592
2.33rt
2.6062
2.542J
2.750,
2.4409
2.9230
x.N77.
3.0935
3.1E19
3.2121
1.3652
3.1602
3.5571
3.557r
,.759t
3.E635
1.9704
4.Ut9E
!l.l9l8
1.3061

4.4237
1.5137
4.6665
1.792t
1.9206
5.0520
5.1864
5323A
5.1641
5.6080
5.7549
5,m50
6.05t5
0_ot6ll
0.or6rl
o.0t6l2
o.0l6t2
0.01612
0.01613
0.01614
0.oI6l4
0.ol5l4
0.01615
0.015r5
0.ol6t5
0.01615
0.01616
0.01616

0.01617
0.01617
o.ol6r8
0.ot6t8
0.0r619
o.0l5l9
0.0t520
0.01620
0.01621
0.0r62r
o.or622
o.ot623
0.0r523
o.or623
0.01524
o.ot6u
0.0r625
0.01625
0.01625
0.01625
o.ot627
0.0r628
0.0t628
0.01629
o.ot629
0.0r630
o.ot630

0.01631
o.ot637
o.ot612
0.01532
0.01633
0.01633
13?.97
4,10.E1
128.13
1tt.a2
143,92
392.4t
3Er.28
370.50
360.O7
349.9E
340-Zl
330.?6
32t.60
3t2-73
3(X.15
295.t3
2E7-71
279.97
272.10
265-O7
251.97
251.O9
241.11

237.95
23t.67
225.59
219.59
2r1.97
20t.42
203.t3
197.t0
192.73
lE7.tl
183.04
17t.40
171-glJ
169.53
155.2E
151.16
157.16
t53,27
149.50
145.E3
112.26
l3E.to
r35.43
t32.t6
t24.97
!25.8t
t22.81
I19.95
ttt.rt
111.34

ll r.65
lo9.o4
106.49
t0a,o2
l0l.6t
99.26t
58.E7
59.E9
50.t1
5t.E2
62.A2
53.63
64.E4
55.85
66.t6
67.A?
6t.88
69.t9
70.90
71.91
72.92
73.93
74.91
75.91
't6.95
77.96
74,97
79.98
E0.99
E2.00

E3-01
E9.05
90-06
9t.o7
92.08
93.09
94.t0
95.10
96.11
97.12
9a.12
99.t3
l0O.l/t
tol.l4
102.r5
103-t6
l0J.l7
l06.lE
107.t8
10t.r9
109.19
llo_20
I I1.20
tt2,2t
lr3-21
tttt.22
tt5.22
tt6.23
tt7.23

1100.96
lr0l.39
l10l.t2
lt0it.25
1102.6E
ll03.lt
rr03.54
tl03.97
I104./10
1r04.E3
tl05.25
t105.69
t106,ll
tl06.54
1106.97
I107.,10
tl07.82
ll0E.25
tlo8.6E
1109.10
ll09.53
1109.96
1rl0.3E
lrlo.Et
llrl.23
lll1.65
llt2.0E
lll2.50
tlt2.93
rrl3.35

ltt3.77
tl14.l9
ltt4.62
ll t5.04
tl15.t6
ltlS.EE
lll6.30
ttt5.72
lrl?.1r1
t117.56
rl t?.9E
lll8.40
ll1E.8l
1r19.23
llt9.65
tt20.o7
It20.4E
I I20.90
tt2t.32
tL2t.73
ll22.t5
1122.56
tt22.97
1123.39
I123,80
Ltu,2l
tt21.63
tt25.o1
r r25.,15
o.ll299

o.l t4E5
o.l 165 t
o.t lE33
o.l20l5
o.t2t97
0.123?8
o.t2560
o.t2?40
o,t292r
0.t3lol
o.t?2gt
0.13460
0.13639
o.l3Er8
0.1399?
o.r4l75
0.r4353
0.14530
o.1707
o.ra8E4
o.l506l
o,t5237
0.15413
0.155E9
o.t5761
0.r5939
0.16t14
0.t 6288
o.t6162
0.15636

0.16809
0.169E2
o.r7l55
0.t7327
0.t?500
o.t767t
0.t7813
o.l80ra
o.tElt5
o.tE355
0.1E526
0.18696
o.l8E65
0.19035
0.192(x
o.19312
0.19541
0.19?09
0.r98?5
0.2q)44
0-20211
0.20318
0.20545
o.aoTtt
o.2oa77
0.2r043
o.2t20a
o.2t37'
2.WC
[email protected]/21

1.9991
t.997t
l 9945
r.99tt
t.9tql
r.9t5a
1.9u2.
1.9tr7
t.979t
r.91'.
r.97at
t.91ra
1.969r
1.96(.
1.954t
1.9617
L.95vt
1.956t
1.954
r.9520
l.9ut9a
t.9172
1.91,|
t.9121
l.9r()t
t.93n
1.93tr
1.9330
t.93q,
t.ylu

t.925t
t.v7ga
1.92r6
1.9193
1.9r70
t.9lur!
1.9r26
l.9r(B
l.qltr
1.qlJ9
1.9037
1.9015
l.E99a
r.8972
l.E9ro
l.89'
t.tgct
l.8tt6
1.8855
1.E8ut4
t.Etz1
1.8E02
l.87El
1.8760
r.8?39
t.8?19
l.E69t
6rg Appendix A / lhermodynomic ond Thermophysicol property

TABLE A.I E (cont)
1.655E
t.t537
1.8517
1.t597
La577
1.E55?
1.E537
r.85lE
l.Eit98
r.t/t76
1.E459
l E440
t.8420
1.E401
1.8382
1.E363
r.E34,l
r.$25
t.E305
l.E2E7
r.825E
1.t250
l.E23l
1.8213
1.8r94
l.El?6
l.El58
1.E1/t0

l.tl2r
r.tl03
l.EOE5
1.806?
l.EO50
1.t032
1,8014
r.799'.1
1.1979
t.1952
1.1914
t.1927
1.?909
t.7892
1.78?5
r.7E58
t.?E4t
t.1AU
r.7t0?
t.7190
1.7774
t.11s1
t.1110
11744
t:l'lo7
1.7691
t-7571
1.?558
1.7512

o.2l?02
0.21856
n-220!0
n.2rt94
0.22337
0.a2520
o.226a3
0.22A16
0.2300E
0.231?O
0-23331
o-21193
o,23651
0.88r5
o.25EEO
o.26031
0.2519iI
0.26351
o.25J07
0.26663
0.26E19
0.76971
0.27130
0.27?a5
o.21410
o.27594
o.2'1718
o.27903
0.2E056
0.2E210

0.28363
0.2t515
0.2E669
o.28A22
o-2a971
o.29127
o,29n9
0.29!t30
o,295N2
o.29',133
o.29tE,t
o-1r0035
91.154
97.595
90.491
8t.42
N6.u7
Ert.5M
a?.512
E0.769
7X,911
77.225
75.522
13-862
12,u5
?0.659
69.r33
57.516
56.111
6a-155

53.36E
62.015
50.697
59.412
5E.t5t
56.935
55.117
54.578
53-113
31.255
J0.200
19.11r
48.165
!t?.tE6
16.224
45.294
41342
43.49r
42.521
1t-772
10.913
40.133
39.411
3r.568
3?.E13
!7.O75
36.355
35-650
11-964

x1.2a9
33.632
32.9E9
32.35r
!1.741
31.111
30.559
29 9E6
29.411
28.875
2a339
0-01652
0.0t652
0.01653
o.or654
0.0155't
0.01655
o.ot555
0.01656
0.01657
0.0r557
0.ol55E
0.0r659
0.01659
o.ol660
o.0l55l
0.0166r
o.ol662
0.01653
0.01553

0.0r664
0.0r565
0.01565
0.0r655
0.01557
0.0156?
o-01658
0.0r669
0.01669
t5.6Et
16,03E
r6.394
r6.757
r7-126
17.503
r?.E86
ta.276
rE.6?4
r9.o7E
19.490
t9.9t)9
20.136
20.170
2t.212
2.562
7.0293
?.1E83
?.3503
?.5153

7.6E35
7.E548
E.m93
t.20?0
8.3tE0
t.5723
E.7600
E.9512
9.r458
9.3439
9.5456
9.75l}9
9.9599
lo.l73
ro.3E9
10.609
r0.834
r1.062
tt.z94
r 1.530
11.??0
r2.0r,
t2.163
r2,515
t?.773
13.035
r3.301
t5l

t52
153
154
rJ'
156
151
r58
159
150
161
162
163
151
155
156
l5?
15E
169
170
t7l
t72
t73
111
115
1?6
t77
r7E
l'19
r80
186 I
r8? I

1SS I
189 I
reo
I
191
r97
r93
191
r95
r95
r91
19E
199
200
201
,o2
I 2or
I rol
I 205
Lo.
I 201
I zos
I 209
lcontlnued)
t
a
a
?

:
I
a
I:
!:
g
i:
a
s
ia
=
Et
tABtE A.rl (cont)
t-757'
t.?56r
r.?5L
t.7L4
-7319
t.7214
1.72r0
t.7t11
r_7w
r.6996
t.692t
1.6t59
r.57ln

1,67
1.556r
1.659?
1.5534
t.6172
1.5411
1.53J1
t.6291
1.6233
r.5l?5
t.6lrt
1.6051
r.5005
1.5950
1.5E95
1.5412
1.57E8
.5735
r.5683
1.5531
1.55t0
t_5529
r.5rt7t
l.5rl2E
r.53?E
t.s329
r.52EO
r.52tr
t.5tt2
1.5134

1.5085
t.503t
1.,1990
1.4943
r.4E95
1.484t
l.4EOr
1.1754
1.1707
1.4550
r.4613
1.4565
1.45t9
t.1412
t.1125
1.43?8
0.310t5
0.312:|4
0.31681
o.32120
0.33r55
0.33tE5
0.3/1610
0.35331
0.36059
0.36?66
0.3746E
0.3t167
o_38862
0.39571

o.40261
o-rt0!,54
o.4t54l
0.12325
o.,l!005
o-43682
0,4,4356
o,15021
0.45696
0.4635r
o.47gu
O.rl?583
0.4834r
0.1E995
0.49617
0.5029?
0.50943
0.51588
o.52290
o-12869
0.53506
0-54141
o.517't4
0.55404
0.56033
0.56659
o.51243
0-57905
0.58525
0,59r44

0.59?60
0.60375
0.609E9
0.61601
0.622lr
o.52a2l
o.$49
0.64036
o 64642
n.55Ut
0.55853
0.65457
o.67052
o.67665
0-68270
tt19-91
1!50.30
ll5t.42
r l$.2t
lr55.t2
r156.93
rl5E.73
I160.51
tt62.26
I164.00
1r65.71
1157.40
tl59.o?
rl?o.71
tt72.37

73.9r
tt75.17
1t77.00
ll?t.Jl
ll79,9E
I l8l./13
llE2.Ezl
ttl,,,22
tlE5.57
1rE6.89
lltt.17
I lE9.zll
I t90.51
tt9t.7a
ttyt.gl
tt93.99
t r95.04
I196.0,1
t197.00
ll9?.9r
ll9t.7E
rr99.60
1200.37
L20t.o9
1201.?5
12w.38
t202.r4
1203.45
1203.90
l2(x.30

tz04.63
l2ty.91
r205.12
1205.27
r205.35
t205.37
t205-X2
t205.20
1205.01
t201.75
1204.41
120t.99
203.19
r2o2.92
rt3.35
1Et.3E
l93.ilo
n300
76.794
25.r55
21.t50
2t.l5E
r9385
t7.717
t6.325
r5.0r2
t1.421
12.747
rr.?61

r0-t7t
r0.066
9.3257
t.6499
t.03r9
7 -166t
6-91,1
6.17t3
6.033t
5.6313
5-2605
1.9t87
1.6032
4.31t6
4.0ar9
3.7922
3.5601
3.3159
3.1465
2.9611
2-7t81
2.5741
2.1181
2-7381
2.ZOa1
2.0466
t.9726
1.8660
1.766'
t.6725

r.5E4?
t.5023
1.4u9
1.352t
L2A36
l.rt9l
r.r583
t.l0lr
1.04? I
0.9960?
o.91't9'
0.9m40
0.E5936
0.ElE6,l
0.?E007
o.74351
0.70E91
o.ol6?r
0.016?l
0.016?,r
0.0r677
o.ol6Et
0.015E5
0.0l5EE
0.01692
0.01696
0.01700
0,01704
o.0t?09
o.0l?13

0.ol7t7
o.ot122
o.ot125
0.0t731
0.ol?36
0.01740
0.0r745
0.or?55
0.01750
0.0r765
0.0r771
0.01776
0.017E2
o.0r?87
o.0l?93
o-0r799
0.0tElt
0.01817
o.01tzi
o.0rE30
o.0tt36
0.otE/tl
0.olt50
0.01655
0.01a63
0.01E71
0.0ltE5
0.o1193
o-o1901
0.0r909

0.ol9t7
0.0r925
0.0193.1
0.0191t3
0.0t961
o-o1970
o.0t9E0
0.01990
0.02r)00
o-mo10
o.t o12
29,442
30.013
3!.E,t2
35-O93
3E.6r9
12.129
16.512
50.97E
55.751
60.E90
66-406
12.323
7a-651
85.114
92.692
100.43

r0E.58
111.17
t25.a2
t?6.11
117.32
158.52
r70.19
rE2.96
196.25
2r03r
/25.t4
240.80
25?.31
n1.69
292,99
312.21
?32,17
353.71
376.00
399.3E
123.44
419.51
176.39
504.17
533.E3
55,1.50
595.5r
529.92
661.76
?0r.07

73t.E9
778-21
tr9.25
t5l-t7
906.1E
952.22
1000.0
1049.7
l!01.2
1154.6
r2ro.o
1267.1
1a26.9
14.,110
14.699
15.595
r7.tE9
rE.9l{
20.74
22.795
24.961
27.jr07
29.8/Z
32.521
35.122
18.525
4t.84t
45.398
49.rEE
53.229

57.5r1
62.t15
66.98:l
72.r51
1'.t.6X9
t3.453
89.60E
96.119
103.00
tto.27
tt7.94
126.O2
L?4.54
143.50
r57.93
162.t3
t73.21
1E4.16
195.50
207.64
220.t7
233.32
247.O4
261.13
276.17
292.t6
30t.52
325,5E
34t.36

36r.t9
38r.rE
10t.25
122.12
113.42
166,37
449.79
5l/t.lo
539.33
565.19
592.52
520.73
649.85
27r
217
215
220
225
230
235
210
215
250
255
260
265
270
275
2ao
245

290
293
3U)
305
335
340
,15
350
355
350
365
370
375
3E0
385
390
39s
400
405
135
uo
145
450
155
460
465
410
175
4EO
485

490
195
Appendix A / Ihermodynomic ond Thermophysicol Property
Toblee
examples.pdf

The rate of heat transfer to the irterior is termed the ,.inst.docx

The rate of heat transfer to the irterior is termed the ,.inst.docx

Recommended

Recommended

More Related Content

Similar to The rate of heat transfer to the irterior is termed the ,.inst.docx

Similar to The rate of heat transfer to the irterior is termed the ,.inst.docx (20)

More from ssusera34210

More from ssusera34210 (20)

Recently uploaded

Recently uploaded (20)

The rate of heat transfer to the irterior is termed the ,.inst.docx