Chapter 15, Problem 3P

To determine

To draw: PV diagram.

Explanation of Solution

Introduction:

Initially the air is cooled at constant pressure until it’s volume is half then it expand isothermally back to original volume.

From ideal gas equation, relation between pressure $P$ . and volume $V$ is,

  $PV=$ constant

r any two states, the above equation becomes as,

  $P_i{V}_i=P_{\text{f}}{V}_{\text{f}}$

Here, $i,$ f in subscript represents initial state and final state respectively.

At constant pressure graph will be parallel to volume axis and at constant temperature graph will be hyperbolic in nature.

  

As shown in the above figure, curve $BC$ represent the isothermal expansion.

In this process pressure changes from ${\text{P}}_0$ to $\frac{{\text{P}}_0}{2}$ and volume changes from $\frac{{\text{V}}_0}{2}$ to ${\text{V}}_0$ .