Chapter 10, Problem 8PE

Interpretation Introduction

Interpretation:

The final pressure of a sample of nitrogen gas, when heated to a certain temperature, is to be determined.

Concept Introduction:

The combined gas law helps in explaining the relationship between pressure, volume, and temperature of an ideal gas.

The relationship determined in this law is estimated by considering all the other three laws, namely, Boyle’s Law, Charles’s Law, and Gay-Lussac Law.

For a definite amount of gas, the combined gas law gives the relationship between the initial and final values of any gas as:

$\frac{P_1{V}_1}{T_1}=\frac{P_2{V}_2}{T_2}$

Here, $P_1$ is the initial pressure of gas, $V_1$ is the initial volume of the gas, and $T_1$ is the initial temperature of the gas. Similarly, $P_2$, $V_2$, and $T_2$ are the final pressure, volume, and temperature of the gas, respectively. The temperature is always kept in terms of Kelvin.