Chapter 5, Problem 5.24P

Interpretation Introduction

Interpretation:

The final volume of the balloon after the pressure dropped to $0.844\text{atm}$ is to be calculated.

Concept introduction:

Boyle’s law states that pressure is inversely proportional to the volume $\left(P\propto \frac{\text{1}}{V}\right)$ at constant temperature and number of moles $\left(n\right)$.

$PV=\text{Constant}$

At constant temperature and number of moles $\left(n\right)$, two different pressure and volume are related by the following equation.

$P_{\text{1}}{V}_{\text{1}}=P_{\text{2}}{V}_{\text{2}}$ (1)

Here,

$P_{\text{1}}$ is the initial pressure of the gas.

$P_{\text{2}}$ is the final pressure of the gas.

$V_{\text{1}}$ is the initial volume of gas.

$V_{\text{2}}$ is the final volume of gas.

The conversion factor to convert pressure from $\text{torr}$ to $\text{atm}$ is as follows:

$\text{760 torr}=\text{1}\text{atm}$