Chapter 12, Problem 82AE

Interpretation Introduction

Interpretation:

Whether tire would burst if temperature inside reached to $212°\text{F}$ or not has to be determined.

Concept Introduction:

Gay-lussac’s law represents direct relation of pressure of fixed mass of ideal gas with its temperature at fixed volume.

Mathematically relation for Gay-lussac’s law is as follows:

  $P\propto T$

Or,

  $P_1{T}_2=P_2{T}_1$

Here,

$P_1$ is initial pressure.

$P_2$ is final pressure.

$T_1$ is initial temperature.

$T_2$ is final temperature.