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18-7: How do transmittance, absorbance, and molar absorptivity differ? Which one is proportional to concentration?

Short Answer

Expert verified

Absorbance is proportional to concentration, Molar absorptivity is the constant of proportionality between absorbance and concentration.

Step by step solution

01

Definition of Spectrophotometry

Spectrophotometry is a standard and inexpensive technique to measure light absorption or the amount of chemicals in a solution. It uses a light beam which passes through the sample, and each compound in the solution absorbs or transmits light over a certain wavelength.

02

Transmittance

Transmittance (T) is a dimensionless quantity equal to the ratio transmitted radiation flux to the total incident flux

T=PP0

03

Absorbance

Absorbance (A) is the logarithm of the intensity of the incident radiationand the transmitted radiation (P) through the sample.

A=logP0P

04

Absorption

The absorptions of light through the solutions can be mathematically described as Beer- Lambert’ s law.

A=ϵ⋅c⋅b

Absorbance is proportional to Concentration, Molar absorptivity is the constant of proportionality between absorbance and concentration.

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Consider a molecule that can fluoresce from the S1 state and phosphoresce from the T1 state. Which is emitted at longer wavelength, fluorescence or phosphorescence? Make a sketch showing absorption, fluorescence, and phosphorescence on a single spectrum.

What is the difference between fluorescence and phosphorescence?

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Semi-xylenol orange is a yellow compound at pH 5.9but turns red when it reacts with Pb2+. A 2.025 - mLsample of semixylenol orange at pH 5.9was titrated with7.515×10-4MPb(NO3)2with the following results:

Total role="math" localid="1663647483742" μ³¢Pb2+added

Absorbance at 490nmwavelength

Total μ³¢Pb2+added

Absorbance at490nmwavelength

0.0

6.0

12.0

18.0

24.0

30.0

36.0

0.227

0.256

0.286

0.316

0.345

0.370

0.399

42.0

48.0

54.0

60.0

70.0

80.0


0.425

0.445

0.448

0.449

0.450

0.447


Make a graph of absorbance versus microliters of Pb2+added. Be sure to correct the absorbances for dilution. Corrected absorbance is what would be observed if the volume were not changed from its initial value of 2.025Ml. Assuming that the reaction of semi orange with Pb2+has a 1 : 1stoichiometry, find the molarity of semi-xylenol orange in the original solution.

18-9 Why does a compound whose visible absorption maximum is at 480 nm (blue-green) appear to be red?

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