Chapter 17, Problem 118A

Interpretation Introduction

Interpretation: To calculate the final volume of the system with a change in temperature and no change in pressure.

Concept introduction: Charles' Law states that the volume of the gas is directly proportional to the temperature of the gas at constant pressure.

Answer to Problem 118A

The volume of the system at $355\text{K}$ will be $11.1\text{L}$ with pressure remaining constant.

Explanation of Solution

It is given that the gas has a volume of $8.57\text{L}$ at $273\text{K}$ . We have to find the volume at $\text{355K}$ if the pressure does not change.

Mathematically, Charles's law is represented by the equation:

  $\frac{V_1}{T_1}=\frac{V_2}{T_2}$

where,

  $V_1$ and $T_1$ are the initial volume and initial temperature of the gas.

  $V_2$ and $T_{{}_2}$ are the final volume and temperature of the gas.

Given: $V_1=8.75\text{L}$ , $T_1=273\text{K}$ and $T_2=355\text{K}$

Putting in the values, we get

  $\frac{8.57\text{L}}{273\text{K}}=\frac{V_2}{355\text{K}}$

  $V_2=11.1\text{L}$