Chapter 11, Problem 63E

Interpretation Introduction

Interpretation:

The number of moles of the gas is to be calculated.

Concept Introduction: The Ideal GasLaw is a combination of Charles’s law, Boyle’s Law and Avogadro’s Law.

The Charles’s law states the relation between volume and temperature. According to Charles’s law, the volume is directly proportional to temperature.

The Boyle’s law states the relation between pressure and volume. According to Boyle’s Law, the pressure is inversely proportional to volume.

The Avogadro’s law states the relation between volume and number of moles. According to Avogadro’s Law, the volume is directly proportional to a number of moles.

Therefore, the Ideal Gas Law combines the three laws to give the equation as:

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

The proportionality sign is replaced with an equal sign by multiplying the above equation with a proportionality constant called the Ideal Gas constant, $R$.

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

Here, $V,T,P$, $R$ are volume, temperature and pressure and ideal gas constant respectively.