Chapter 5, Problem 5.22P

Interpretation Introduction

Interpretation:

Given that there is a sample of $4.1\text{7 L}$ of ethane gas, ${\text{C}}_{\text{2}}{\text{H}}_{\text{6}}$, at $7{\text{25 }}^{\text{o}}\text{C}$. The new volume if the sample of gas is cooled to $175{}^{\text{o}}\text{C}$ at a constant pressure should be calculated.

Concept Introduction:

The final temperature of the gas at the varying volume 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.