Chapter 5, Problem 5.19P

Interpretation Introduction

Interpretation:

The $PV$ diagram of the cycle for the given mechanically reversible steps is to be sketched. Also, its thermal efficiency is to be determined.

Concept Introduction:

Adiabatic process is the one in which there is no heat transfer between the system and its surroundings. The equation applicable for this process from state “1” to state “2” is:

  $T_1{V}_1{}^{\gamma -1}=T_2{V}_2{}^{\gamma -1}$   ......(1)

Here, the definition of $\gamma$ is:

  $\gamma =\frac{C_p}{C_v}$   ......(2)

In an isobaric process, the pressure of the system remains unchanged while the state of the system changes from “1” to “2’’

The equation applicable for this process for an ideal gas is:

  $\frac{V_1}{T_1}=\frac{V_2}{T_2}$   ......(3)

In an isochoric process, the volume of the system remains unchanged while the state of the system changes from “1” to “2”

The equation applicable for this process for an ideal gas is:

  $\frac{P_1}{T_1}=\frac{P_2}{T_2}$   ......(4)

Thermal efficiency of a heat engine is the measure of the ratio of the work done by it to the heat supplied to it.