Chapter 9, Problem 53QP

Interpretation Introduction

Interpretation:

The volume of the bubble of air is to be determined.

Concept Introduction:

Charles’s law gives a relationship between the volume and temperature of a gas when the pressure of the gas is constant. The volume of the gas is directly proportional to the absolute temperature of the gas (in kelvin), at constant pressure. Mathematically, Charles’s law can be represented as:

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

In terms of initial temperature $\left(T_1\right)$ , initial volume $\left(V_1\right)$ , final temperature $\left(T_2\right)$ , and final volume $\left(V_2\right)$ .

$\frac{V_1}{T_1}=\frac{V_2}{T_2}\mathrm{......}\left(1\right)$