Chapter 10, Problem 8CE

Interpretation Introduction

Interpretation:

The final pressure of the air sample having initial pressure of $1.00\text{atm}$ is to be stated when both the volume and Kelvin temperature halved.

Concept introduction:

The volume of the gas shows inverse relation with the pressure at a constant temperature according to a Boyle’s law. Mathematically, it is expressed, as shown below.

$V\alpha \frac{1}{P}$

Charles reveals the temperature effect on the volume of a gas. According to the Charles law, the volume of gas shows direct relation with the temperature in Kelvin at a constant pressure. Mathematically, it is expressed, as shown below.

$\begin{array}{l}V\alpha T\\ V=kT\end{array}$

Here, $k$ is the proportionality constant.

Gay-Lussac reveals the temperature effect on the pressure of a gas. According to the Gay-Lussac law, the pressure of a gas shows direct relation with the temperature in Kelvin at a constant volume. Mathematically, it is expressed, as shown below.

$\begin{array}{l}P\alpha T\\ P=kT\end{array}$