Chapter U3.65, Problem 1E

Interpretation Introduction

Interpretation: The ideal gas law needs to be explained.

Concept Introduction: An ideal gas is a perfect gas for which product of pressure and volume is directly proportional to temperature of the gas at constant number of moles.

Explanation of Solution

An ideal gas law can be explained using a general gas equation known as ideal gas equation. In this equation P, V, n, R and T are related to each other. Here, R is Universal gas constant which is same for all type of ideal gases. The value of R is $0.082\text{ L atm/K mol}$ .

The ideal gas equation is represented as follows:

  $PV=nRT$

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

According to above equation if number of moles remains constant the product of pressure and volume will be directly proportional to the temperature of the gas.

  $\begin{array}{l}PV=cT\\ PV\propto T\end{array}$