Chapter 11, Problem 98E

Interpretation Introduction

Interpretation:

The pressure of the container is to be calculated.

Concept introduction:

According to Ideal Gas Law, the volume of gas is directly proportional to the temperature of gas and number of moles of gas and is inversely proportional to the pressure.

$\begin{array}{c}V\propto T\\ V\propto n\\ V\propto \frac{1}{P}\end{array}$

Combining the above three expressions as:

$V\propto \frac{nT}{P}$

Remove the proportionality sign by an ideal gas constant $\left(R\right)$ as:

$V=\frac{RnT}{P}$

The equation of ideal gas law is written as:

$PV=nRT$

Here, $P$ is the pressure of the gas, $V$ is the volume of gas, $n$ is the number of moles of gas, $R$ is the ideal gas constant and $T$ is the temperature.