Chapter 6.5, Problem 6E

A)

Interpretation Introduction

Interpretation:

Residual molar enthalpy and residual molar internal energy for each given temperature and pressure has to be determined.

Concept introduction:

The expression for van der Waals Equation of state is given as follows.

$P=\frac{RT}{\underset{\_}{V}-b}-\frac{a}{{\underset{\_}{V}}^2}$

Here, constants are a and b, molar volume is $\underset{\_}{V}$, gas constant is R, temperature is T, and pressure is P.

The expression for the residual molar enthalpy is given as follows.

${\underset{\_}{H}}^R=RT\left(Z-1\right)-\frac{a}{\underset{\_}{V}}$

Here, compressibility factor is Z.

The expression for the residual molar internal energy is given as follows.

${\underset{\_}{U}}^R=\frac{-a}{\underset{\_}{V}}$

The expression for compressibility factor is given as follows.

$Z=\frac{P\underset{\_}{V}}{RT}$ 

B)

Interpretation Introduction

Interpretation:

Residual molar enthalpy and residual molar internal energy for each given temperature and pressure has to be determined.

Concept introduction:

The expression for van der Waals Equation of state is given as follows.

$P=\frac{RT}{\underset{\_}{V}-b}-\frac{a}{{\underset{\_}{V}}^2}$

Here, constants are a and b, molar volume is $\underset{\_}{V}$, gas constant is R, temperature is T, and pressure is P.

The expression for the residual molar enthalpy is given as follows.

${\underset{\_}{H}}^R=RT\left(Z-1\right)-\frac{a}{\underset{\_}{V}}$

Here, compressibility factor is Z.

The expression for the residual molar internal energy is given as follows.

${\underset{\_}{U}}^R=\frac{-a}{\underset{\_}{V}}$

The expression for compressibility factor is given as follows.

$Z=\frac{P\underset{\_}{V}}{RT}$ 

C)

Interpretation Introduction

Interpretation:

Residual molar enthalpy and residual molar internal energy for each given temperature and pressure has to be determined.

Concept introduction:

The expression for van der Waals Equation of state is given as follows.

$P=\frac{RT}{\underset{\_}{V}-b}-\frac{a}{{\underset{\_}{V}}^2}$

Here, constants are a and b, molar volume is $\underset{\_}{V}$, gas constant is R, temperature is T, and pressure is P.

The expression for the residual molar enthalpy is given as follows.

${\underset{\_}{H}}^R=RT\left(Z-1\right)-\frac{a}{\underset{\_}{V}}$

Here, compressibility factor is Z.

The expression for the residual molar internal energy is given as follows.

${\underset{\_}{U}}^R=\frac{-a}{\underset{\_}{V}}$

The expression for compressibility factor is given as follows.

$Z=\frac{P\underset{\_}{V}}{RT}$ 

D)

Interpretation Introduction

Interpretation:

Residual molar enthalpy and residual molar internal energy for each given temperature and pressure has to be determined.

Concept introduction:

The expression for van der Waals Equation of state is given as follows.

$P=\frac{RT}{\underset{\_}{V}-b}-\frac{a}{{\underset{\_}{V}}^2}$

Here, constants are a and b, molar volume is $\underset{\_}{V}$, gas constant is R, temperature is T, and pressure is P.

The expression for the residual molar enthalpy is given as follows.

${\underset{\_}{H}}^R=RT\left(Z-1\right)-\frac{a}{\underset{\_}{V}}$

Here, compressibility factor is Z.

The expression for the residual molar internal energy is given as follows.

${\underset{\_}{U}}^R=\frac{-a}{\underset{\_}{V}}$

The expression for compressibility factor is given as follows.

$Z=\frac{P\underset{\_}{V}}{RT}$ 

E)

Interpretation Introduction

Interpretation:

Residual molar enthalpy and residual molar internal energy for each given temperature and pressure has to be determined.

Concept introduction:

The expression for van der Waals Equation of state is given as follows.

$P=\frac{RT}{\underset{\_}{V}-b}-\frac{a}{{\underset{\_}{V}}^2}$

Here, constants are a and b, molar volume is $\underset{\_}{V}$, gas constant is R, temperature is T, and pressure is P.

The expression for the residual molar enthalpy is given as follows.

${\underset{\_}{H}}^R=RT\left(Z-1\right)-\frac{a}{\underset{\_}{V}}$

Here, compressibility factor is Z.

The expression for the residual molar internal energy is given as follows.

${\underset{\_}{U}}^R=\frac{-a}{\underset{\_}{V}}$

The expression for compressibility factor is given as follows.

$Z=\frac{P\underset{\_}{V}}{RT}$ 

F)

Interpretation Introduction

Interpretation:

Residual molar enthalpy and residual molar internal energy for each given temperature and pressure has to be determined.

Concept introduction:

The expression for van der Waals Equation of state is given as follows.

$P=\frac{RT}{\underset{\_}{V}-b}-\frac{a}{{\underset{\_}{V}}^2}$

Here, constants are a and b, molar volume is $\underset{\_}{V}$, gas constant is R, temperature is T, and pressure is P.

The expression for the residual molar enthalpy is given as follows.

${\underset{\_}{H}}^R=RT\left(Z-1\right)-\frac{a}{\underset{\_}{V}}$

Here, compressibility factor is Z.

The expression for the residual molar internal energy is given as follows.

${\underset{\_}{U}}^R=\frac{-a}{\underset{\_}{V}}$

The expression for compressibility factor is given as follows.

$Z=\frac{P\underset{\_}{V}}{RT}$