Chapter 6, Problem 6.4P

(a)

Interpretation Introduction

Interpretation:

For a certain gas describe by following equation, show that $U=U(T)$ internal energy is function of temperature only.

  $P(V-b)=RT$........(a)

Concept Introduction:

Derived equations use in this problem:

  $dU=C_{V}dT+[T{(\frac{\partial P}{\partial T})}_V-P]dV$............(1)

(b)

Interpretation Introduction

Interpretation:

Show that $\gamma$ is constant.

Concept Introduction:

The general relation between $C_V$, $C_P$ and $R$ is:

  $C_P-C_V=R$........(1)

(c)

Interpretation Introduction

Interpretation:

For mechanically reversible adiabatic process, Show that $P{(V-b)}^{\gamma }=\text{const}.$

Concept Introduction:

For mechanically reversible adiabatic process,

  $\begin{array}{l}\delta Q=0\\ \delta W=dU\end{array}$........(1)