Question

What+is+the+molar+absorptivity+of+a+solute+that+absorbs+86%+of+a+certain+wavelength+of+light+when+the+beam+passes+through+a+1.0-cm+cell+containing+a+0.16+m+solution?

Answer 1

The molar absorptivity is

Molar absorptivity is defined as the measure a compound's ability to absorb light of a specific wavelength. It is represented by the constant/symbol 'ε'.

The molar absorptivity is given by :

A  = εcl

where A is the absorbance

ε is the molar absorptivity

c is the molar concentration of the compound

and l is the path length

here, the molar concentration of the solution is 0.16 mol

and the path length is 1 cm

to find the molar absorptivity , one must know the absorbance of the material.

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Answer 2

The molar absorptivity of the solute is 5.375 mol L⁻¹ cm⁻¹

Molar Absorptivity

The capacity of a substance to absorb light of a certain wavelength is known as molar absorptivity. It is denoted by the symbol or constant "ε".

Now according to Beer-Lambert law,

"The concentration of a solution may be determined by measuring its absorbance since there is a linear relationship between the concentration and the absorbance of the solution."

A = εbC ......(i)

Where A ⇒ Absorbance

ε ⇒  Molar absorptivity

b ⇒ Length of the light path

c ⇒ Concentration

Now, from (i)

A = εbC

0.86 = ε × 1 × 0.16

0.86 = ε × 0.16

ε = $\frac{0.86}{0.16}$ mol L⁻¹ cm⁻¹

ε = 5.375 mol L⁻¹ cm⁻¹

Therefore, the molar absorptivity of the solute is 5.375 mol L⁻¹ cm⁻¹

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