Chapter 8.7, Problem 8.12P

Interpretation Introduction

Interpretation:

The pressure inside an automobile tire at $\text{45°C}$ should be determined if the tire has initially a pressure of $\text{30}\text{psi}\text{at}\text{15°C}$

Concept Introduction:

Gay-Lussac’s law: States that pressure of a fixed amount of gas is directly proportional to temperature in Kelvin when the gas is held at constant volume.

$\begin{array}{c}\text{P}\propto \text{T}\left(\text{Kelvin}\right)\\ \frac{\text{P}}{\text{T}}\text{=}\text{constant}\\ \frac{{\text{P}}_{\text{1}}}{{\text{T}}_{\text{1}}}\text{=}\frac{{\text{P}}_{\text{2}}}{{\text{T}}_{\text{2}}}\end{array}$

Temperature should be in kelvins.