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InstructionsACTCOEFF.XLSThis workbook will calculate
activities, activity coefficients, and excess Gibbs energiesfor
several activity models. MargulesWorksheet using the Margules
equation with two adjustable parameters.Regular A
spreadsheet to calculate VLE for methanol + benzene using van
Laar and Scatchard/Hildbrand theory.NRTLBinary NRTL
model.NRTL5Multicomponent NRTL with up to 5
components.UNIQUACA spreadsheet to use with the binary
UNIQUAC activity coefficient model.UNIQUAC5A spreadsheet
to use UNIQUAC with up to 5 components.ANTOINETable of
Antoine Coefficients.UNIFAC (VLE)A spreadsheet to use with
the UNIFAC activity coefficient model for VLE for up to 5
components.aij-UNIFAC (VLE)Database of parameters used by
UNIFAC for VLE.UNIFAC (LLEa,b)Two spreadsheets to use
with the UNIFAC activity coefficient model for LLE for up to 5
components.aij-UNIFAC (LLE)Database of parameters used by
UNIFAC for LLE.LLELiquid + Liquid equilibria: Water + MEK
example used in the text.Worksheets are protected. Values in
blue may be changed without unlocking the spreadsheet, which
willpermit most common calculations.Copyright 1997-2012,
Carl Lira, Richard ElliottFor use with "Introductory Chemical
Engineering Thermodynamics" by J.R. Elliott, C.T.
Lirawww.egr.msu.edu/~lira/thermtxt.htm
MargulesMargules EquationGE/RT = x1 x2 ( A21 x1 + A12 x2
)Margules ParametersA12_A21_1.8611.6365Table x1
increment0.05x1x2gamma1gamma2activity1activity2G(mix)
/RT0.01.06.430163721139841.00.01.00.00.050.955.2555852854
677661.00517094844374740.26277926427338830.95491240102
156-
0.110650930845872630.10.94.3537650522542811.02061562586
51410.435376505225428150.918554063278627-
0.15961347339144820.150000000000000020.853.65432765806
92971.04645511877098830.54814914871039470.889486850955
34-
0.189725150305990940.20.83.1067215307931441.08310075832
238220.62134430615862880.8664806066579058-
0.20982642353818770.250.752.6742577761844831.1312555532
8368170.66856444404612070.8484416649627613-
0.223921082118808370.30.72.33004364695297551.1919278043
6377350.69901309408589260.8343494630546414-
0.23419780205489360.350.652.0541797605815471.2664565402
161010.71896291620354150.8231967511404656-
0.241944951534632470.399999999999999970.60000000000000
011.83180899418435231.35654903413320380.73272359767374
080.8139294204799224-
0.247923667009256360.449999999999999960.551.6517451159
0163161.46433120811052020.74328530215573420.8053821644
607861-
0.252545001213588470.499999999999999940.51.50549989621
135841.59241224218891220.75274994810567910.79620612109
44561-
0.25595968055994540.54999999999999990.4500000000000000
71.38658671293275981.74396520669811460.762622692113017
80.7847843430141517-
0.25810137621358840.60.41.29001777842058841.92282604058
430380.7740106670523530.7691304162337216-
0.25869966700925640.650.351.21193817424864842.133613721
4696620.78775981326162150.7467648025143817-
0.25726707653463240.70000000000000010.2999999999999999
31.14935739587463552.38187501751633860.804550177112244
90.7145625052549014-
0.253055802054893530.75000000000000010.249999999999999
91.09995099080704822.6742577761844840.8249632431052862
0.6685644440461207-
0.24496795711880830.80000000000000020.1999999999999998
41.06191300152905723.018717281700720.8495304012232460.
6037434563401436-
0.231378423538187740.85000000000000020.149999999999999
81.03384553081604973.42476078335825160.878768701193642
50.5137141175037371-
0.209761775305990720.90000000000000020.099999999999999
761.01467564515553453.903735830915570.9132080806399814
0.390373583091556-
0.175777473391447950.95000000000000030.049999999999999
711.00359256283958994.4691685070393420.953412934697610
70.2234584253519658-
0.120248305845872181.00000000000000020.01.05.1371579575
493551.00000000000000020.00.0
RegularThe bubble temperatures and vapor compositions at each
temperature are computedusing: (1) the Scatchard-Hildebrand
model with zero binary interaction coefficient;(2) the
Scatchard-Hildebrand model with binary interaction coefficient
chosen to match the bubble pressure near the azeotrope; (3) the
van Laar model; The system illustrated below is the
methanol+benzene system. The bubble temperatures are
computed by setting the target y1+y2=1 by changing the
estimated temperature. This is repeatedfor each composition for
each model.Pure Component DataAntoine CoeffABCVL
(cm3/mol)d
(cal/cm3)1/21MeOH8.080971582.271239.7264014.52benzene6.
879871196.76219.161889.2Mixture data to be used in all
sets:Methanol+benzene data from Perry's 6th p13-12 and 13.59
P =760mm
Hgx100.0260.050.0880.1640.28420941450.3330.5490.6990.782
0.8980.97303263260.9731y100.2670.3710.4570.5260.5590.5950
.6330.6650.760.9071T
(C)80.170.6766.4462.8760.258.6458.0258.158.4759.962.764.7C
alculations based on
dataT(K)353.25343.82339.59336.02333.35331.79331.17331.253
31.62333.05335.85337.85F100.01198819620.0233644860.04201
680670.08186900960.15288717440.1849588980.35621593560.5
1351748460.61984781230.80007127580.94253152010.9424641
6121Scatchard-Hildebrand model with zero binary interaction
coefficient (x's from above) see plot ----
>x100.0260.050.0880.1640.28420941450.3330.5490.6990.7820.
8980.97303263260.9731g14.95691057394.89538924654.806787
83224.62650309134.18890136323.44408023473.15202407942.0
5091663581.50662330971.28484166221.07217160281.0057077
4751.00572128441g211.0005145751.00197882391.0065037507
1.02537352791.09266530851.13890667771.62222891252.73114
716664.331674616511.648045417829.022951045429.01086911
39.8015818995P1sat1360.42448262281106.0716894197952.137
51814793.1757052065624.095505732515.2351749135495.4531
540408476.6008252858481.2578406591471.9049840661438.81
92973129515.2002108296515.0633200992759.9949319424P2sat
759.9964718458635.4176672766558.0114507583476.14491525
49386.4323406843326.8841994241315.8845118432305.345391
3333307.954071663302.7114179758284.0489339346326.86480
98363326.7888943353458.7727401791y1
calc00.18523807610.30110019980.42490450920.56413292160.
6635958060.68426254010.70609242120.66687752920.6238746
4470.55592059370.66337888030.66318930260.9999933315y2
calc0.99999535770.81475694310.69889457140.57508997170.4
3586124170.33639805260.31573935210.29394525670.3331071
5130.37612095480.44405094490.33661595390.33680474430T(
K)353.249444124347.5419961819343.5351662642338.7873661
067332.7723037034328.130921851327.2005644951326.284469
6831326.5135586643326.0515606261324.3530037549328.1293
040946328.1229693994337.6975630883OBJ(Syi-
1)200000000.00000000140.000000000200.00000000080000.000
0000028
Carl Lira: Bubble temperatures can be found across the
composition range using Solver by setting this to zero and
adjusting B30:O30|<----- LLE region --->|This table permits
calculation of LLE if it exists as above in column G and M
(LLE explained in Chap 12)The cross-overs in the above
diagram are indicativeLLEDg*xx1of LLE. The points represent
experimental data. g1*x10.00025356980.2842094145An
interaction parameter is necessary to fit the
datag2*x200.9730326326without predicting LLE.Scatchard-
Hildebrand model with binary interaction coefficient kij=-
0.0330966093x100.0260.050.0880.1640.28420941450.3330.549
0.6990.7820.8980.97303263260.9731g12.99688059222.9495603
5082.89994998742.81299267742.62007676052.29504391922.16
323785491.62368174621.31910325691.18425330081.04782499
891.00383559091.00384463571g211.00035040591.0013414851
1.00438660841.01699160431.0613401871.09135472671.386061
77821.9717003232.68889439575.18562190339.6355230139.632
578255312.501637036P1sat1360.42323478011206.10528035221
097.8500058847970.3827238415809.7320400495680.29239003
48650.4601159501593.2754815985588.0778365853588.256218
4325598.2800414004668.7655310475668.6935528418759.9949
501421P2sat759.9958696321684.8683784041631.324948996256
7.2759093478484.7742452945416.5914044091400.6269103482
369.7318991169366.9036590874367.0007811692372.45180856
55410.4348223667410.3963315571458.772749737y1
calc00.12170327390.20945461250.31606815220.45781033740.
58386370840.616531950.6958506880.71347241750.716810389
60.74072331550.85950871310.85939512650.9999933555y2
calc0.99999456530.87802045120.79021482750.6837171920.54
231247120.4164254880.38372340820.30411123070.286514003
90.2830633460.25921343970.14032803780.14044173560T(K)3
53.2494183718349.9044817302347.3400635957344.037001735
3339.3170186441334.9080466171333.7934560134331.5318331
283331.3173479711
Carl Lira: First, set this to 331.3 (close to azeotrope T and
composition), then adjust kij until cell J48 = 0.
331.3247352724331.7368704737334.482311623334.479633988
3337.6975636968OBJ(Syi-
1)200.00000007630.00000010930.00000004610.00000001510.0
0000008360.00000006520.00000000150.00000000020.0000000
1590.0000000040.00000002670.000000026600.0000004705
Carl Lira: Then, use Solver to adjust B47:O47 to calc bubble
T's.Van Laar model with A12 and A21 chosen to match the
azeotrope. See plot ---->For this calculation, experimental
azeotrope is taken as x1 = y1 = 0.614, T(C) =
58.3P1sat591.2878949655g11.2853298816A121.9847477283
Carl Lira: These values are calculated from the activitiy
coefficient and composition values at the azeotrope.
Carl Lira: Bubble temperatures can be found across the
composition range using Solver by setting this to zero and
adjusting B30:O30
Carl Lira: Then, use Solver to adjust B47:O47 to calc bubble
T's.P2sat368.6507859883g22.0615716252A211.7424010368x10
0.0260.050.0880.1640.28420941450.3330.5490.6990.7820.8980
.97303263260.9731g17.27721131926.48400245175.8508002077
5.00842397253.76576634512.56261793042.2401650741.416873
65521.16109677781.07974531541.01645225741.00112040761.0
0112313131g211.00151845991.00558976951.01723362881.059
84703851.18411028761.25733512181.8006654532.5031386296
3.07896610484.22383562055.26252251335.26200625665.71103
93898P1sat1360.4232348651035.6253453081885.786664824475
9.2857358348653.4823405831605.4583220759599.3687985022
591.8375498452593.2068242722602.279738076644.909921032
8716.6530879716716.6080215778759.9949501422P2sat759.995
8696731600.2020122383524.0995349406458.400269742402.24
88441541376.3475698787373.0431116383368.949811832369.6
945625956374.6233047996397.6455313057435.9168982413435
.893032879458.772749737y1
calc00.22972359110.34095794750.44032709150.53102807380.
58022038270.58830805430.60574856430.63348763420.669133
4520.7745488030.91856333050.9184772620.9999933555y2
calc0.99999456540.77037427190.65878641320.55956020380.4
6895447080.41971419740.41164449680.39424235030.3665058
1440.33085873120.22541857190.08139966740.0814857110T(K
)353.2494183735345.7697705623341.6401457125337.67384081
08333.9082925468332.0284756469331.7812869091331.472653
4359331.5290101879331.8997098002333.5813976996336.2126
79345336.2110968661337.6975636968OBJ(Syi-
1)200.00000000960.00000006540.00000001270.00000000030.0
0000000430.00000000230.000000000100.00000000010.000000
00110.00000000140.000000001400.0000000985
Carl Lira: After determining the A12 and A21, the bubble
temperatures are calculated across the composition range as
before.
0 2.5999999999999999E-2 0.05 8.7999999999999995E-2
0.16400000000000001 0.28420941450762771
0.33300000000000002 0.54900000000000004
0.69899999999999995 0.78200000000000003
0.89800000000000002 0.97303263263832951
0.97299999999999998 1 353.24944412400248
347.54199618187357 343.53516626418633
338.7873661067195 332.77230370337787
328.13092185097713 327.20056449507689
326.28446968306304 326.51355866430913
326.05156062611064 324.35300375485554
328.12930409461444 328.12296939939716
337.69756308826925 0 0.18523807606481901
0.30110019978909031 0.42490450918554279
0.56413292160300499 0.6635958059604512
0.68426254011950605 0.70609242119422044
0.6668775292468565 0.62387464473882026
0.55592059370370883 0.66337888032750214
0.66318930258351361 0.99999333150316094
353.24944412400248 347.54199618187357
343.53516626418633 338.7873661067195
332.77230370337787 328.13092185097713
327.20056449507689 326.28446968306304
326.51355866430913 326.05156062611064
324.35300375485554 328.12930409461444
328.12296939939716 337.69756308826925 0
2.5999999999999999E-2 0.05 8.7999999999999995E-2
0.16400000000000001 0.28420941450762771
0.33300000000000002 0.54900000000000004
0.69899999999999995 0.78200000000000003
0.89800000000000002 0.97303263263832951
0.97299999999999998 1 353.25 343.82 339.59
336.02 333.34999999999997 331.78999999999996
331.16999999999996 331.25 331.62
333.04999999999995 335.84999999999997
337.84999999999997 0 0.26700000000000002
0.371 0.45700000000000002 0.52600000000000002
0.55900000000000005 0.59499999999999997
0.63300000000000001 0.66500000000000004 0.76
0.90700000000000003 1 353.25 343.82 339.59
336.02 333.34999999999997 331.78999999999996
331.16999999999996 331.25 331.62
333.04999999999995 335.84999999999997
337.84999999999997
x-y
T(K)
0 2.5999999999999999E-2 0.05 8.7999999999999995E-2
0.16400000000000001 0.28420941450762771
0.33300000000000002 0.54900000000000004
0.69899999999999995 0.78200000000000003
0.89800000000000002 0.97303263263832951
0.97299999999999998 1 353.24941837176107
349.90448173018666 347.34006359568258
344.03700173529143 339.31701864409479
334.9080466170854 333.79345601344033
331.53183312834597 331.31734797112767
331.3247352723742 331.7368704736927
334.4823116229889 334.47963398826869
337.69756369680414 0 0.12170327389226415
0.20945461254557959 0.31606815221694556
0.4578103374498701 0.5838637083648438
0.61653194998048066 0.69585068800872807
0.7134724174738527 0.71681038959056209
0.74072331548304171 0.85950871311427757
0.85939512651294026 0.99999335545013823
353.24941837176107 349.90448173018666
347.34006359568258 344.03700173529143
339.31701864409479 334.9080466170854
333.79345601344033 331.53183312834597
331.31734797112767 331.3247352723742
331.7368704736927 334.4823116229889
334.47963398826869 337.69756369680414 0
2.5999999999999999E-2 0.05 8.7999999999999995E-2
0.16400000000000001 0.28420941450762771
0.33300000000000002 0.54900000000000004
0.69899999999999995 0.78200000000000003
0.89800000000000002 0.97303263263832951
0.97299999999999998 1 353.25 343.82 339.59
336.02 333.34999999999997 331.78999999999996
331.16999999999996 331.25 331.62
333.04999999999995 335.84999999999997
337.84999999999997 0 0.26700000000000002
0.371 0.45700000000000002 0.52600000000000002
0.55900000000000005 0.59499999999999997
0.63300000000000001 0.66500000000000004 0.76
0.90700000000000003 1 353.25 343.82 339.59
336.02 333.34999999999997 331.78999999999996
331.16999999999996 331.25 331.62
333.04999999999995 335.84999999999997
337.84999999999997
x-y
T(K)
0 2.5999999999999999E-2 0.05 8.7999999999999995E-2
0.16400000000000001 0.28420941450762771
0.33300000000000002 0.54900000000000004
0.69899999999999995 0.78200000000000003
0.89800000000000002 0.97303263263832951
0.97299999999999998 1 353.249418373514
345.76977056227628 341.64014571246003
337.67384081078308 333.90829254682114
332.02847564692098 331.78128690905118
331.47265343586326 331.52901018785423
331.89970980015408 333.58139769958552
336.21267934497672 336.21109686608173
337.69756369680567 0 0.22972359109167673
0.34095794753461306 0.44032709152153826
0.53102807376922501 0.58022038272507581
0.58830805428710253 0.60574856427327572
0.6334876342480783 0.66913345201255481
0.774548803002859 0.91856333050173999
0.91847726197584723 0.99999335545019952
353.249418373514 345.76977056227628
341.64014571246003 337.67384081078308
333.90829254682114 332.02847564692098
331.78128690905118 331.47265343586326
331.52901018785423 331.89970980015408
333.58139769958552 336.21267934497672
336.21109686608173 337.69756369680567 0
2.5999999999999999E-2 0.05 8.7999999999999995E-2
0.16400000000000001 0.28420941450762771
0.33300000000000002 0.54900000000000004
0.69899999999999995 0.78200000000000003
0.89800000000000002 0.97303263263832951
0.97299999999999998 1 353.25 343.82 339.59
336.02 333.34999999999997 331.78999999999996
331.16999999999996 331.25 331.62
333.04999999999995 335.84999999999997
337.84999999999997 0 0.26700000000000002
0.371 0.45700000000000002 0.52600000000000002
0.55900000000000005 0.59499999999999997
0.63300000000000001 0.66500000000000004 0.76
0.90700000000000003 1 353.25 343.82 339.59
336.02 333.34999999999997 331.78999999999996
331.16999999999996 331.25 331.62
333.04999999999995 335.84999999999997
337.84999999999997
x-y
T(K)
NRTLParametersIntermediate
CalculationsDg12/R(K)200t120.6708032869Dg21/R(K)200t210.
6708032869a12 = a210.2G120.8744495665T
(K)298.15G210.8744495665x1x2g1g2013.516221341310.050.95
3.10465296591.0031942340.10.92.76038390631.01279736280.1
50.852.47110963871.02893921240.20.82.22706060351.0518847
0980.250.752.02043877051.0820415920.30.71.84498909811.11
997339850.350.651.69567171761.1664183650.40.61.568409808
1.22231516180.450.551.45989471811.28883681940.50.51.3674
3466461.36743466460.550.451.28883681941.45989471810.60.4
1.22231516181.5684098080.650.351.1664183651.69567171760.
70.31.11997339851.84498909810.750.251.0820415922.0204387
7050.80.21.05188470982.22706060350.850.151.02893921242.4
7110963870.90.11.01279736282.76038390630.950.051.0031942
343.10465296591013.5162213413
gamma1 0 0.05 0.1 0.15 0.2 0.25 0.3 0.35 0.4 0.45
0.5 0.55000000000000004 0.6 0.65 0.7 0.75 0.8
0.85 0.9 0.95 1 3.5162213412928449
3.1046529659059239 2.7603839063313402
2.4711096386763343 2.2270606035492984
2.0204387704530311 1.844989098095063
1.6956717176001468 1.5684098079557436
1.4598947180787383 1.3674346645894071
1.288836819377158 1.2223151617814934
1.1664183649555311 1.1199733985402323
1.0820415919629587 1.0518847098044506
1.0289392124028436 1.0127973627769944
1.0031942340335018 1 gamma2 0 0.05 0.1
0.15 0.2 0.25 0.3 0.35 0.4 0.45 0.5
0.55000000000000004 0.6 0.65 0.7 0.75 0.8 0.85
0.9 0.95 1 1 1.0031942340335018
1.0127973627769944 1.0289392124028436
1.0518847098044506 1.0820415919629587
1.1199733985402323 1.1664183649555311
1.2223151617814934 1.288836819377158
1.3674346645894071 1.4598947180787383
1.5684098079557436 1.6956717176001468
1.844989098095063 2.0204387704530311
2.2270606035492984 2.4711096386763343
2.7603839063313402 3.1046529659059239
3.5162213412928449
x1
gamma
NRTL5NRTL MODELNOTE: The variable and sign conventions
are the same as APSEN, not the original publication.tij = aij +
bij/T, other variables as defined on the binary sheet. To
reproduce original NRTL, set aij = 0 and set bij =
Dgij/R.T(K)298.15NameHAcEtOHEtAcH2OPropAcidx2.00E-
012.00E-012.00E-012.00E-012.00E-
01gamma0.90684328140.92859523071.78279063452.482165507
30.8235660247Intermediate
CalculationsaijHAcEtOHEtAcH2OPropAcidHAc000-1.9763-
3.0776tau0-0.8468291129-
0.78912929730.06927638771.1078549723EtOH00-1.2101-
0.985200.75624886800.62710241490.02850618820.9432557438
EtAc0-0.39810-
3.719801.73007278220.673146687900.59392899552.190870229
8H2O3.32933.75559.4632000.90136741571.4880795743.74231
1185602.7046259668PropAcid2.44520000-0.7980030857-
1.2875093074-1.061845571-
0.43400652360bijHAcEtOHEtAcH2OPropAcidHAc0-252.4821-
235.2789609.88861247.8934Gij11.28923463211.26711009170.9
7943156010.7172315902EtOH225.47560547.7619302.2365281.
23170.797020674310.82850639410.99148460670.7535373276Et
Ac515.8212319.392201286.1383653.2079590.59510237190.817
140681310.88799799040.5182688951H2O-723.8881-676.0314-
1705.6830806.3842320.76306640140.63991247350.4730934993
10.4442411248PropAcid-966.961-383.8709-316.589257-
129.39904501.27048780571.47145659661.37513742461.139058
4011aijHAcEtOHEtAcH2OPropAcidterm10.26125328-
0.2967958518-
0.03401516510.0258327810.7684665942HAc00.30.30.30.3term
20.88513545071.04354887670.98876948190.99959451160.6866
557875EtOH0.300.30.30.3inv
term21.12977058960.9582684841.01135807511.00040565291.4
563337529EtAc0.30.300.20.3sq inv
t21.27638158520.91827848731.02284515611.00081147032.120
9079997H2O0.30.30.200.3part10.2951562722-0.284410111-
0.03440151190.02584326011.119143839PropAcid0.30.30.30.30
x10.20.20.20.20.20.20.20.20.20.20.20.20.20.20.20.20.20.20.20.
20.20.20.20.20.2part2-
0.16648123470.45396594650.77430190681.0459856115-
0.9864404817part30.22646066910.2436381750.16172048610.16
269750410.3268149142lngamma-0.0977856316-
0.07408233950.57817990880.9091313676-0.1941115569
UNIQUACUNIQUAC CalculationNote: This spreadsheet uses
the form of equations that permits the q of the residual part to
differ from q of the combinatorial part. (Anderson, T.F.,
Prausnitz, J.,M., Ind. Eng. Chem. Process Des. Dev. 17, 1978,
552-561). The formulas look a little different because or the use
of the intermediate variable 'l', however the equationsare
consistent with the method described in the text if the user sets
q'=q.rqq'll-(r/r)la12a21(1) Methanol1.4321.43111.4311-
0.42750000000000044-1.2141611456176684-32.78529.57(2)
Benzene3.18782.42.41.75120000000000122.7028651536312873
Table x1
increment0.05x1x2T(C)T(K)tau12tau21theta1theta2theta'1theta'
2phi1phi2ln(gam1)ln(gam2)gam1gam2P1satP2satP0.0000001.09
0363.151.09446507772577380.232638871995609430.01.00.01.0
0.01.01.9639961702895130.07.1277539465494141.00.0500000.
9590363.151.09446507772577380.232638871995609430.03042
88013676056940.96957119863239430.0304288013676056940.9
6957119863239430.023096699688065520.97690330031193441.
71107934647018320.0063899434029869585.534932364426786
1.00641040264592020.1000000.990363.151.0944650777257738
0.232638871995609430.062137718128964750.93786228187103
530.062137718128964750.93786228187103530.0475396883361
7730.95246031166382271.48969740134697550.0242587202768
326654.4357530629992061.02455535684922120.1500000.8590
363.151.09446507772577380.232638871995609430.095209266
121574610.90479073387842530.095209266121574610.9047907
3387842530.073450210810311760.92654978918968831.294556
4923670980.052065972693539493.64937708857963371.053445
23884081220.2000000.890363.151.09446507772577380.232638
871995609430.129733208836834060.87026679116316590.1297
33208836834060.87026679116316590.10096452140560660.899
03547859439341.1215910151527010.088694606806925883.069
7343139067971.09274688790230370.2500000.7590363.151.094
46507772577380.232638871995609430.165807371018757750.8
3419262898124210.165807371018757750.83419262898124210.
130236280626443770.86976371937355620.9676300056994361
0.133339456482436562.6316999486705291.1426378083159736
0.3000000.790363.151.09446507772577380.2326388719956094
30.20353856437826230.79646143562173770.203538564378262
30.79646143562173770.161439426393993360.83856057360600
660.83016858757864650.18543291671206592.29370539790959
11.20373944626668770.3500000.6590363.151.09446507772577
380.232638871995609430.243043643871443620.756956356128
55650.243043643871443620.75695635612855650.19477163298
0604430.80522836701939560.70720791621278980.2445948169
2326842.0283201054817911.27710374753181120.4000000.600
000000000000190363.151.09446507772577380.2326388719956
09430.284450716543101830.7155492834568980.284450716543
101830.7155492834568980.23045850298533880.769541497014
66120.59714102665845840.31059880199431571.816916850975
69771.36424178029588170.4500000.5590363.151.09446507772
577380.232638871995609430.32790052927833320.6720994707
2166680.32790052927833320.67209947072166680.2687586802
29721050.73124131977027910.49867024085460720.383350456
93917271.6465303255497331.4671921276408370.5000000.590
363.151.09446507772577380.232638871995609430.373548067
134765460.62645193286523460.373548067134765460.6264519
3286523460.309970128576994630.69002987142300540.410746
826679171840.46287425359710411.50794353715393161.58863
356489938550.5500000.4500000000000000790363.151.094465
07772577380.232638871995609430.4215644005023820.578435
5994976180.4215644005023820.5784355994976180.354437899
113905160.64556210088609490.332526772556054340.5493076
0618271721.39448723267276421.73205333956688420.6000000
.490363.151.09446507772577380.232638871995609430.472138
827488370550.52786117251162950.472138827488370550.5278
6117251162950.40256381423591580.59743618576408420.2633
3860452424540.64290117961031421.30126725934429641.9019
9089987826380.6500000.3590363.151.09446507772577380.232
638871995609430.52548136808240810.474518631917591970.5
2548136808240810.474518631917591970.45481864424171653
0.54518135575828350.202660568589019870.744025274982362
71.22465671073562032.1043892341440930.7000000.29999999
99999999390363.151.09446507772577380.23263887199560943
0.58182567938807170.41817432061192840.5818256793880717
0.41817432061192840.51175755843041960.4882424415695804
70.150105498494097380.85318274309550681.16195682095707
722.3471052095119330.7500000.249999999999999990363.151.
09446507772577380.232638871995609430.6414324772533729
0.35856752274662710.64143247725337290.3585675227466271
0.574039926240680.425960073759320050.10541246257353237
0.97102955324483661.11116883140552282.6406617621959345
0.8000000.1999999999999998490363.151.09446507772577380.
232638871995609430.7045935699867070.29540643001329310.
7045935699867070.29540643001329310.64245496758563470.3
57545032414365360.068444960048728021.0984049820582937
1.07084168425482632.99937814463014350.8500000.14999999
9999999890363.151.09446507772577380.232638871995609430
.77163663582704050.228363364172959580.7716366358270405
0.228363364172959580.71795537257353880.282044627426461
20.0391961272230116061.23637453034604381.0399744309468
4043.44310792593390320.9000000.0999999999999997690363.
151.09446507772577380.232638871995609430.8429309092336
9960.157069090766300460.84293090923369960.157069090766
300460.80170193707311650.198298062926883460.0178022375
07416441.38629033997215421.0179616418505933.9999839154
4139360.9500000.0499999999999997190363.151.09446507772
577380.232638871995609430.91889398429922760.0811060157
00772420.91889398429922760.081106015700772420.89512366
840155610.104876331598443960.0045668971238967681.54987
641177174181.00457734129166084.7108879363185171.000000
0.090363.151.09446507772577380.232638871995609431.00.01.
00.01.00.00.01.72934989726969681.05.636988095628319
UNIQUAC5UNIQUAC5This spreadsheet is constructed to
calculate activity coefficients for up to 5 componentsusing the
UNIQUAC activity coefficient expression. Antoine coeffients
are optional.Enter T, component names, aij's, r, q, and
composition values.12345Antoine
A8.071317.2806621082Antoine
B1730.631434.2010693622Table for LLE as described in
text.Antoine C233.426246.4990457476Can be used for binary or
ternary.Psat (mmHg)23.686413553199.571488315111Follow
text instructions to create
macroy0.22830.77170.00000.00000.0000Scroll right for LLE
iteration table.123Unhide columns G-R for LLE iterations.Pcalc
(mm
Hg)98.4928864843Ki,old0.53096394035.06253426412.6115685
14T (K) =298.15Phase aPhase
bKi,new0.53096394035.06253426412.6115685141234512345xai
,old0.89108725960.09891274040.01NameWaterMEKAceticNam
eWaterMEKAcetic00xai,new0.89108726510.09891273490.01x8.
91E-019.89E-021.00E-021.00E-111.00E-11x4.73E-015.01E-
012.61E-021.00E-111.00E-
11xbi,old0.4731449730.50073914230.0261158847g1.065207740
17.71752720920.08403548774.26924344361.1873164506g2.006
17717941.52443950130.0321781671.01855920220.6973857453
xbi,new0.47313520550.50074910940.0261156851xg0.94919304
610.76336176540.000840354900xg0.94921264740.7633465283
0.000840361300r0.923.24792.20243.191.43To avoid having the
screen jump to follow the q1.42.8762.0722.41.43cursor during
macro execution, just hide
ALLF0.70485107350.27621304610.018935880400F0.20540829
110.76745002090.02714168800of the columns that contain the
activity
coefficientq0.80344557680.18321005710.01334436600q0.30714
569960.66776337570.025090924700calculations before
executing the
macro.Sixiri1.1630829684Sixiqi1.5527152049Sixiri2.11916165
99Sixiqi2.1566408486aij matrix (i = row, j=column), enter 0's
for unused cells1234511-2.0882254.1500Note: to minimize the
possibility of errors, all of the pure component 2345.531-
254.1300and binary parameters are taken from the tables on the
left.
Week 6 Discussion 1 Course Reflection
In this final discussion, reflect upon your overall learning
experience and relate it to your earned specialization and/or
advanced degree as well as your current or future practice
serving at-risk children and families. Your reflection must
include the learning you have gained about the topics of this
course and learning from the creation of your website. Review
the Week Six Instructor Guidance to further support your
response to this discussion. You may respond to this discussion
in written form, or through a video and/or audio recording of
yourself using the digital technology of your choosing.
Initial Post: Create an initial post that addresses the following:
· What new insights have you obtained about at-risk children
and families overall?
· What specific concepts have you learned that have left a more
lasting impression or impact on you? How and/or why have
these concepts impacted you more significantly than others?
· What affirmations have you gained about your current or
future role working with at-risk children and families from
reflecting on your learning? Be sure to indicate what your
professional focus is (e.g., education, early childhood
education, family and community service, etc.).
· How has the construction and review of others’ websites added
value to your learning experience? Include challenges you may
have experienced during the process and how you overcame
them.
Guided Response: Respond to a minimum of two peers. Make an
effort to respond to someone in a similar professional field and
one with a different professional focus. What similarities and
differences did you discover between your peers’ and your own
overall learning and lasting impressions? Provide specific
feedback regarding the potential application of their learning to
their professional practice. How does the value they gleaned
from the website construction and sharing opportunities support
and differ from your own reflection on this process? As
mentioned in prior discussions, though two replies is the basic
expectation, for deeper engagement and learning you are
encouraged to provide responses to any comments or questions
others have given to you to further the conversation while also
giving you opportunities to demonstrate your content expertise,
critical thinking, and real world experiences with the course
topics.
Required Resources
Text
Rubin, A. (2012). Clinician’s guide to evidence-based practice:
Programs and interventions for maltreated children and families
at risk. Retrieved from https://redshelf.com
· Use any of the chapters within the text to support
enhancements made to any of the work included in your website
as well as to inform your work on the specific group at risk you
will select as a focus.
Week Six Instructor Guidance
Congratulations! And, welcome to the final week of EDU644:
Child and Family Welfare! Please be sure to review the Week
Six homepage for this course to see the specific learning
outcomes for the week, the schedule overview, the required and
recommended resources for the week, an introduction to the
week, and a listing of the assessments for the week. Next, be
sure to read this entire Instructor Guidance page.
Overview
Now is the time to reflect upon all you have learned and
experienced in this course. You have formed a foundational
concept of Child and Family Welfare including programming,
policies, resources, and strategies to best assist families and
children at risk. The past five weeks have addressed the
implementation of your website as a tool to provide support for
families and children at risk in your specialization. In Week Six
you will prepare your final website project consisting of the
requirements in the guidance. Also, you have the opportunity to
reflect deeply on your learning from Weeks One through Five in
the discussion thread.
Intellectual Elaboration
Reflecting on the EDU644 Experience
Over the last five weeks, we have focused on what it means to
be at-risk and the impact being an individual or group at risk
has on one’s ability to thrive. The ideas of team-based
approaches, the usage of different resources (local, state, and
federal), and the variety of populations at risk presented a
complex, yet targeted mosaic of opportunities to support
families and children at risk in order to improve their quality of
living and student academic success. As you reflect on the
numerous models, approaches, and strategies, think of how they
can be best applied to the populations at risk in a way that
builds long-term solutions.
Why Reflect?
Through reflective practice, a practitioner of any type can
reframe a troubling situation so problem-solving actions may
occur. Reflection is part of the learning process, whether a
novice or an expert. It allows one to utilize a repertoire of
understanding, images, and actions so as to respond most
effectively (Merickel, 1998). Progressing into the Week 6
discussion and final project requires you to contemplate your
learning experiences, course assessments, and concepts
examined during the course and determine their impact on you.
You will also relate your learning to that of your current or
anticipated role working with children and families at risk. As
both a learner and a professional, taking time to reflect upon
your own practice as well as the behaviors and progress of your
students or clients, is the first step in creating a road map
toward finding solutions or applying improvements.
Take time during Week Six to reflect on all you have learned
and accomplished!
Assessment Guidance
This section includes additional specific assistance for excelling
in the discussions for Week Six beyond what is given with the
instructions for the assessments. If you have questions about
what is expected on any assessment for Week Six, contact your
instructor using the Ask Your Instructor discussion before the
due date.
Discussion: Course Reflection
This discussion is an opportunity for you to further demonstrate
mastery with the five course learning outcomes, which are noted
on the course Syllabus.The course reflection allows you to
connect your ideas about families and children at risk by
selecting the most relevant experiences and resources that can
guide successful interventions. Select two or more aspects of
the course that is relevant for you as well as for improving the
lives of families and children. Consider your current or
anticipated professional position. How do you anticipate your
learning in this course will contribute to the work you do?
This final discussion is the final opportunity for you to make
your learning authentic! It also provides the chance to
communicate with one another and gain additional insight to
others’ learning, bringing up points you may not have
considered in your own original response.
Final Project: Creating a Web-Based Resource for a Population
at Risk
The final project is the culminating and comprehensive
opportunity for you to demonstrate your mastery of the five
course learning outcomes, which are noted on the course
Syllabus. The activities and concepts in the course informed
you about populations at risk as well as strategies and resources
to support these varied groups. Through your website research,
you have gained models for the Final Project where you will
demonstrate mastery of the five course learning outcomes by
assuming the role of a professional working with individuals or
families at risk. The assignment is to further refine and expand
the website resource that describes this population and provides
strategies and resources to support it.
Specialization Pages Instructions: Create three additional pages
in your website linked from the Homepage. Title the pages
specifically for your selected group at risk as shown in Content
Expectations for the assignment. The intention of the
specialization pages is to present yourself as an “expert” in a
particular group or sub-group, providing specific information
and supports related to the group. You may select a specific
group at risk from any of those studied during Weeks One
through Five or another specific group at risk not specifically
featured within the course. Many such groups are discussed in
the Rubin text such as children with trauma related issues and
PTSD, separation and attachment issues, and other groups such
as homeless veterans, and Central American refugee children
for which resources are recommended. It is recommend the
required information be represented using a mix of both text
and graphics such as charts, tables, and graphs. If a group
previously covered during the course work is selected as your
specialization, you must include information that expands upon
what was already shared in the previously designed pages,
showing more depth and different information than previously
learned and shared.
Also note in the Content Expectations the need to produce a text
(written) version of your website. This is purely for
accountability purposes during the evaluation process and to
verify originality through Turn It In (TII) which cannot occur
by reviewing the website alone.
Reference
Merickel, M. (1998). Reflective Practice: The reflective
practitioner. Retrieved from
http://oregonstate.edu/instruct/pte/module2/rp.htm

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