Chapter 3.8, Problem 3E

(A)

Interpretation Introduction

Interpretation:

The heat transfer in the piston cylinder.

Concept Introduction:

The ideal gas equation.

$PV=NRT$

Here, pressure is $P$, number of moles is $N$, gas constant is $R$, and  temperature is $T$.

The change in internal energy $\left(\Delta U\right)$ of the gas.

$\Delta U=C_V^{*}NdT$

Here, change in temperature of gas is $dT$.

The heat transfer using first law of thermodynamics $\left(Q\right)$.

$Q=\Delta U-W_{EC}$

Here, work done by the gas is $W_{EC}$.

(B)

Interpretation Introduction

Interpretation:

The heat transfer in the piston cylinder.

Concept Introduction:

The work done equation for isobaric process $\left(W_{EC}\right)$.

$\begin{array}{c}{W}_{EC}=-{\displaystyle \underset{V_1}{\overset{V_2}{\int }}PdV}\\ =-P\left(V_2-V_1\right)\end{array}$

(C)

Interpretation Introduction

Interpretation:

The heat transfer in the piston cylinder.

Concept Introduction:

Write the work done equation for the isothermal process.

$W_{EC}=-{\displaystyle \underset{V_1}{\overset{V_2}{\int }}PdV}$