Chapter 5, Problem 5.23P

Interpretation Introduction

Interpretation:

The new volume of the sample of ${\text{SO}}_{\text{2}}$ gas should be calculated.

Concept Introduction:

The final volume of the gas at the varying temperature can be calculated using Charles’s law, which states the relationship between volume and temperature of the gas.

According to Charles’s Law, for the gas held at constant pressure, the volume of gas is directly proportional to the temperature of the gas. Mathematically, it is given as.

$V\propto T$.

$\frac{V}{T}=const\text{a}nt=k$.

We two different sets of temperature and volume of the gas is considered, the above equation becomes as follows:

$\frac{V_1}{T_1}=\frac{V_2}{T_2}$.

where $V_1$ and $T_1$ are initial volume and temperature of the gas, while $V_2$ and $T_2$ are final volume and temperature of the gas.