Chapter 9, Problem 62QP

Interpretation Introduction

Interpretation:

The final temperature of a gas with change in pressure is to be determined.

Concept Introduction:

The Gay Lussac’s law relates the temperature and pressure of a gas at a constant volume. When the temperature of a gas increases at constant volume, the pressure of the gas also increases. The pressure of a gas is therefore directly proportional to its temperature at constant volume.

$\begin{array}{c}P\propto T\\ \frac{P_1}{T_1}=\frac{P_2}{T_2}\end{array}$ …… (1)

Here $P_1$ , $T_1$ is the pressure and temperature of the gas in the initial state. $P_2$ , $T_2$ is the pressure and temperature of the gasin final state.