Chapter 9, Problem 66QP

Interpretation Introduction

Interpretation:

The final pressure of the ${\text{N}}_2$ gas is to be determined.

Concept Introduction:

Combined gas law states that the pressure and volume of a gas are directly proportional to the temperature if the number of moles of gas particles remain constant. When the temperature of a gas increases, the pressure and the volume of the gas also increase and vice versa.

$\begin{array}{c}PV\propto T\\ \frac{PV}{T}=k\end{array}$

Here $P$ is the pressure, $V$ is the volume and $T$ is the temperature of gas. $k$ is the proportionality constant. The expression that is used to compare the temperature, volume and pressure of two gases are as follows:

$\frac{P_1{V}_1}{T_1}=\frac{P_2{V}_2}{T_2}\mathrm{......}\left(1\right)$