Chapter 10, Problem 5CE

Interpretation Introduction

Interpretation:

Whether the pressure in the tank increases or decreases if air in a rigid steel tank cools from $2\text{5}{}^{\text{ο}}\text{C}$ to $20{}^{\text{ο}}\text{C}$ is to be predicted.

Concept introduction:

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.

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

Here, $k$ is the proportionality constant.