Chapter 5, Problem 5.44P

Interpretation Introduction

Interpretation:

The density of air at given temperatures needs to be determined.

Concept introduction:

The ideal gas equation is represented as follows:

  $PV=nRT$

Also, the number of moles is related to mass and molar mass as follows:

  $n=\frac{m}{M}$

Thus,

  $PV=\frac{m}{M}RT$

Now, density is defined as mass per unit volume.

Or,

  $d=\frac{m}{V}$

Thus,

  $PM=dRT$

Here, P is pressure, d is density, R is the universal gas constant and T is temperature.