Chapter 10.8, Problem 2.2ACP

Interpretation Introduction

Interpretation:

The density of dry air at $\text{1}\text{atm}\text{and}\text{25°C}$ has to be calculated by using the data in table 10.1.

Concept Introduction:

Density of a gas can be find out with the help of ideal gas equation$\text{PV}\text{=}\text{nRT}$.

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

n in the given equation can be written as $\frac{\text{m}}{\text{M}}$ Since amount of any substance is given by dividing mass with molar mass.

  $\begin{array}{c}\text{PV}\text{=}\frac{\text{m}}{\text{M}}\text{RT}\\ \\ \frac{\text{m}}{\text{V}}\text{=}\frac{\text{PM}}{\text{RT}}\\ \\ \text{density}\text{=}\frac{\text{PM}}{\text{RT}}\end{array}$