Chapter 11, Problem 11A.7AE

(i)

Interpretation Introduction

Interpretation:

The depth at which intensity of light becomes half the surface intensity has to be calculated.

Concept introduction:

The relation between the absorbance of a substance with its concentration and path length is given by Beer-lambert law.  It states that the transmitted intensity $I$ varies with the length $L$ of the sample and the molar concentration $\left[\text{J}\right]$ of the sample.

The Beer-lambert law is shown below.

  $\epsilon \left[\text{J}\right]L=\text{log}\frac{I_{\text{0}}}{I}$

(ii)

Interpretation Introduction

Interpretation:

The depth at which the intensity of light becomes one-tenth of the surface intensity has to be calculated.

Concept introduction:

The Beer-lambert law states that the transmitted intensity $I$ varies with the length $L$ of the sample and the molar concentration $\left[\text{J}\right]$ of the sample.

The Beer-lambert law is shown below.

  $\epsilon \left[\text{J}\right]L=\text{log}\frac{I_{\text{0}}}{I}$