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11/4/2015
1
11/4/2015
2
Introduction
Calculation
of Beer-
lambert’s
law
Conclusion
Outlines
ta
ta
t
a
r
tar
III
III
Ir
lightdtransmitteofIntensityI
lightabsorbedofIntensityI
lightreflectedfoIntensityoI
lightIncidentofIntensityI
IIII








0
0
0
0
neglectedbecan,4%aboutsmallvery
11/4/2015
3
Absorption of
light
    -(3)---Cln
bewill2noequationThen
ln
1
Formula,
-(2)---
getwe,
whenand,0whenlimitsewithin thgintegratinOn
)twavelenghoflightincidentofintensity(IIk
ness)with thickintensityindecreseshow(-sign
















llII
II
ll
ol
II
II
t
o
ol
t
o
t
o
lkI
cldl
l
dlk
I
dI
IIll
IIl
dl
dI
I
dl
dI


11/4/2015
4
Lambert’s Law
CONT…
11/4/2015
5
(4)ln
getwe,(4)eqsideleftexponentTaking
-(4)---lnlnln
lnC
then0and0takeweCofFor value
Clnln
kl
o
t
o
oto
o
t
to
eI
I
I
IklII
I
Il
klII






tcoefficienabsorptionis
4343.0-(5)---10.
1010
)/(log303.2
lognaturalbyequationChanging
mediumabsorbingandlightincident
ofwavelenghdependhichconstant w
,
4343.0)303.2/(
010
0
K
kKII
I
I
I
I
or
klII
k
lightdedtransmitteofIntensityI
lightIncidentofIntensityI
Where
Kl
ot
kl
t
ok
t
o
t
t








11/4/2015
6
ABSORPTION COEFFICIENT
11/4/2015
7
T
I
I
absorptionnTransmitio
K
l
K
Klor
I
I
o
t
Kl
o
t
bydenotednce.tarnsmitta
astermedisofratiotheisand
intensityitsoftenth-onelight toreduceto
requiredmediumofthicknesstheofreciprocaltheasdefine(6)Eq
-(6)---
1
11010
10
10
1
putweif(5),eqIn
1
1





TRANSMITTANCE
11/4/2015
8KlA
Kl
II
I
I
A
T
IISince
I
I
T
t
Kl
to
t
o
Kl
Kl
ot
o
t



















Hence,
I
I
log
10orlog
is,mediumtheofabsorbanceThe
-(8)---10
10
-(7)---
o
OPACITY OF THE MEDIUM
11/4/2015
9
exceptionno/rigidmoreislaw'
Opacity
opacity,
sLambert
I
I
calledisIIofratioThe
t
o
to

Opacity (optics), the degree to which light is not
allowed to travel through medium.
(12)---'0.4343'
10.
10.
.
ln
,
,whenand,0inwithgintegratinOn
prop)constantis(
mediumabsorbingofionconcentrattheisC
n.FormulatioalMethematic
'
'4343.0
'
'
''
'
ktoequalandconstK
II
II
eII
Ck
I
I
getwe
IICCIIC
kIk
dC
dI
I
dC
dI
CK
ot
Ck
ot
Ck
ot
t
o
to











11/4/2015
10
Beer’s law
thicknessl
concC
consta
aCl
o
I
t
I
CK
o
I
t
I
CKe
o
I
t
I
kIk
dC
dI
I
dC
dI







:
-(11)---10.
get,w e
'10.
'.
(10)andeq.no(8)Combine
prop)constantis'('
:conctheisC'
This equation is for Colorimetry
and spectrophotometry
BEER-LAMBERT’S LAW
11/4/2015
11
  (14)---log1loglog
eq;in theiprelstionshth).(and(T)and(A)betweeniprelationshThe
-(12)---log
10.
ty.absorptivimolaror
tcoefficienabsorptionmolarcalledis''byreplaceisThen
TT
I
I
ClA
Cl
I
I
Cl
o
I
t
I
a
t
o
t
o



















MOLAR ABSORPTIVITY
11/4/2015
12
MOLAR ABSORPTION COEFFICIENT
11/4/2015
13
cm.1iscellof
lenghtpathandmole/liter1of:concaforabsorptiontheasdefinedis
then,
cm1landmole/litre1CIf
eq.(14)fromtcoefficienabsorptionmolarofDefination
A
Cl
A
ClA







MIXTURE
(1) If the system containing several
substances.
each substance will contributes to rate of
absorption of light.
11/4/2015
14
-(15)---
.....
bewillmixtureofAabsorptionThen
i
2211


i
i lCA
lClCA


DIFFERENCE
ABSORBANCE MOLAR ABSORBANCE
 It is extensive property.
 It change with change in
conc: and thickness.
 It varies with wavelenght
of incident light.
 It is intensive property.
 It remains constant,i.e
independent of conc and
thickness of vessel.
 Its value different at
different conc.
11/4/2015
15conc:
έ
VALIDITY OF BEER’S LAW
 This law is valid for solution.
 Only strictly valid for single wavelength.
 Beer-lambert’s law valid for except when high
radiation beam are employed (Lasers).
11/4/2015
16
TESTING BEER-LAMBERT’S LAW
 We know,
Hence for give substance at give (l)
It means law is valid for straight line when
absorbance against conc:
11/4/2015
17
ClA 
CA
DEVIATION IN LAW
 Presence of impurities that fluorescence or
absorb at the absorbance wavelength .
 Deviation may if monochromatic light is not
used.
 Width of silt is not proper.
 Polymerization f impurities.
 Dissociation, ionization or association of the
solute in solution.
 Presence of trace amount foreign substance
in the solution.
11/4/2015
18
1
• Determination of unknown
compound by using know.
2
• Measurement of absorbance of
the compound by using
spectrophotometer.
3
• To draw absorption spectra. To
record variation by change
wavelength of incident light.
Applications
11/4/2015
19
CONCLUSION
11/4/2015
20
we were able to see different
amounts of absorbency using the
law’s different analyte.
The calorimeter measured the
wavelengths of the ions to produce
the absorbency value.
A reference solution was also
created to help determine the
equilibrium constant for each
solution, and also is was used to
determine how precise our results
were.
11/4/2015
21

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Understanding Beer-Lambert's Law