Chapter 9, Problem 42QP

Interpretation Introduction

Interpretation:

The final volume of ${\text{Cl}}_2$ gas with increase in pressure is to be calculated.

Concept Introduction:

The relation between pressure and volume at constant temperature is given by Boyle’s law. As the pressure of the gas is increased, the volume of the gas decreases at a constant temperature. The pressure is therefore, inversely proportional to the volume.

$\begin{array}{l}P\propto \frac{1}{V}\\ PV=k\end{array}$ …… (1)

In terms of initial pressure $\left(P_1\right)$ , initial volume $\left(V_1\right)$ , final pressure $\left(P_2\right)$ , and final volume $\left(V_2\right)$ .

$P_1{V}_1=P_2{V}_2$