Chapter 13, Problem 13.44P

(a)

Interpretation Introduction

Interpretation:

Whether the solubility of ${\text{O}}_2$ increase or decrease with the increase in pressure is to be determined.

Concept introduction:

Henry’s law gives the quantitative relationship between the pressure of the gas and its solubility. It states that the amount of gas dissolved in a liquid is proportional to the partial pressure of the gas. Higher the partial pressure of the gas, more will be its solubility and vice-versa.

The formula to calculate the solubility of gases according to Henry’s law is as follows:

$S_{\text{gas}}=k_{\text{H}}\times P_{\text{gas}}$ (1)

Here, $S_{\text{gas}}$ is the solubility of the gas.

$k_{\text{H}}$ is Henry’s constant.

$P_{\text{gas}}$ is the partial pressure of the gas.

(b)

Interpretation Introduction

Interpretation:

Whether the solubility of ${\text{N}}_2$ increase or decrease with the increase in volume is to be determined.

Concept introduction:

Boyle’s law states that the volume of a given mass of gas is inversely proportional to its pressure at a constant temperature.

The relationship between the volume and pressure of a gas is given as follows:

$P\alpha \frac{1}{V}$

Or $PV=k$ (2)

Here, $P$ is the pressure of the gas.

$V$ is the volume of the gas.

$k$ is the constant.