Chapter 2.5, Problem 7E

(A)

Interpretation Introduction

Interpretation:

The number of moles of ideal gas in the container.

Concept Introduction:

Write the expression to obtain the number of moles $\left(N\right)$ of ideal gas is in container.

$N=\frac{PV}{RT}$

Here, pressure is $P$, volume is $V$, gas constant is R, and temperature is $T$.

(B)

Interpretation Introduction

Interpretation:

The change in internal energy of the gas.

Concept Introduction:

Write the expression of change in internal energy $\left(dU\right)$ of the gas.

$\begin{array}{c}dU=C_V^{*}\left(dT\right)N\\ =C_V^{*}\left(T_2-T_1\right)N\end{array}$

Here, constant volume is $C_V^{*}$, change in temperature is $dT$, initial temperature of gas is $T_1$, and final temperature of gas is $T_2$.

(C)

Interpretation Introduction

Interpretation:

The change in enthalpy of the gas.

Concept Introduction:

Write the expression to obtain the constant pressure $\left(C_P^{*}\right)$.

$C_P^{*}=R+C_V^{*}$

Write the expression of change in enthalpy $\left(dH\right)$ of the gas.

$\begin{array}{c}dH=C_P^{*}\left(dT\right)N\\ =C_P^{*}\left(T_2-T_1\right)N\end{array}$