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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=ϵcb

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

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Most popular questions from this chapter

Preparing standards for a calibration curve.

(a) How much ferrous ethylene diammonium sulfate(FeH3NCH2CH2NH3SO424H2O,FM382.15)should be dissolved in a 500mL volumetric flask with1MH2SO4to obtain a stock solution with~500μgFe/mL2?

(b) When making stock solution (a), you actually weighed out 1.627 g of reagent. What is the Fe concentration in role="math" localid="1668357579931" 500μgFe/mL2?

(c) How would you prepare 500 mL of standard containing 1,2,3,4, and5μgFe/mL2in0.1MH2SO4infrom stock solution (b) using any Class A pipets from Table 2-4 with only 500 -mL volumetric flasks?

(d) To reduce the generation of chemical waste, describe how you could prepare 50 mL of standard containing, andinfrom stock solution (b) by serial dilution using any Class A pipets from Table 2-3 with only 50mL volumetric flasks?

The absorbance of a 2.31×10-5M solution of a compound is 0.822 at a wavelength of 266nm in a 1.00-cm cell. Calculate the molar absorptivity at 266nm.

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" μLPb2+added

Absorbance at 490nmwavelength

Total μLPb2+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.

Nitrite ionNO-2, is a preservative for bacon and other foods, but it is potentially carcinogenic. A spectrophotometric determination ofNO-2makes use of the following reactions

Here is an abbreviated procedure for the

determination:

1. To 50.0ml of unknown solution containing nitrite is added 1.00mL of sulfanilic acid solution.

2. After 10min , 2.00mL of 1 –a minonaphthalene solution and 1.00 mL of buffer are added.

3. After 15 min, the absorbance is read at 520 nm in a 5.00-cm cell.

The following solutions were analyzed:

A. 50.0 mL of food extract known to contain no nitrite (that is, a negligible amount); final absorbance =0.153.

B. 50.0mL of food extract suspected of containing nitrite; final absorbance \(=0.622\).

C. Same as B, but with 10.0μLof7.50×103MNaNO2added to the 50.0-mL sample; final absorbance =0.967.

(a) Calculate the molar absorptivity, of the colored product. Remember that a \(5.00\)-cm cell was used.

(b) How many micrograms ofNO-2were present in 50.0mL of food extract?

Vapor at a pressure of 30.3μtbar from the solid compound pyrazine had a transmittance of 24.4% at a wavelength of 266nm in

a 3.00 - cm cell at 298K

Pyrazine

(a) Convert transmittance to absorbance.

(b) Convert pressure to concentration (mol/L) with the ideal gas law (Problem 1-18).

(c) Find the molar absorptivity of gaseous pyrazine at 266nm.

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