Chapter 6, Problem 6.24QE

Interpretation Introduction

Interpretation:

The new volume occupied by the gas has to be calculated.

Concept Introduction:

The gay Lussac’s gaseous law states that the pressure of a fixed amount of gas varies linearly with the temperature. Mathematically for two gases, it can be stated as follows:

  $\frac{P}{T}=\text{Constant}$

Here,

$P$ denotes the pressure.

$T$ denotes the temperature.

The mathematical relation between volume and temperature as per the Charles law are as follows:

  $V=\left(\text{constant}\right)\times \text{T}$

Here,

$V$ denotes volume.

$\text{T}$ denotes temperature.

The combined gas law expression is given as follows:

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

Here,

$P_1$ denotes the initial pressure.

$P_2$ denotes the final pressure.

$T_1$ denotes the initial temperature.

$T_2$ denotes the final temperature.

$V_1$ denotes the initial volume.

$V_2$ denotes the final volume.