Chapter 12, Problem 12.123QP

Interpretation Introduction

Interpretation:

Given the solubility of an unknown gas at partial pressure and temperature, its solubility at partial pressure $24.6\text{ atm}$ has to be calculated.

Concept Introduction:

Solubility of a gas in liquid is explained by Henry’s law which states –

“At a constant temperature, the amount of a gas dissolved in a given volume of liquid is directly proportional to the partial pressure of the gas that is in equilibrium with the liquid.”

It is expressed as,

$S\alpha P$

Where,

$\begin{array}{l}S\text{ = Solubility}\\ \text{P = Partial pressure}\end{array}$

Introducing proportionality constant,

$S=k_{H}P$

Where,

$k_H$ is Henry’s constant.

Solubility of a same gas at two different pressures can be calculated as,

$\frac{S_2}{S_1}\text{ = }\frac{k_H{P}_2}{k_H{P}_1}\text{ = }\frac{P_2}{P_1}$