Chapter 5.3, Problem 5.2BFP

Interpretation Introduction

Interpretation:

The volume of oxygen in $\text{Litre}\left(\text{L}\right)$ at $745\text{mmHg}$ is to be calculated.

Concept introduction:

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

$PV=\text{Constant}$

At constant temperature and no. of moles $\left(\text{n}\right)$, two different pressure and volume is related by the equation.

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

Here,

$P_{\text{1}}$ is 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 $\text{mmHg}$ to $\text{atm}$ is as follows:

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