Chapter 7.6, Problem 2E

(A)

Interpretation Introduction

Interpretation:

The parameter a and b of Argon.

Concept Introduction:

The relationship between the parameter, m and Soave’s EOS.

$m=0.480+1.574\omega -0.176{\omega }^2$

Here, the acentric factor is $\omega$.

Write the reduced temperature.

$T_r=\frac{T}{T_c}$

Here, critical temperature is $T_c$.

The expression $\alpha$ as a function of the reduced temperature.

$\alpha ={\left[1+m\left(1-T_r^{0.5}\right)\right]}^2$

Here, reduced temperature is $T_r$.

The expression of a at the critical point.

$a=0.42747R^2\frac{T_c^2}{P_c}\times \alpha$

The expression of b as Soave equation.

$b=0.08664R\frac{T_c}{P_c}$

(B)

Interpretation Introduction

Interpretation:

The parameter a and b of Carbon monoxide.

Concept Introduction:

The relationship between the parameter, m and Soave’s EOS.

$m=0.480+1.574\omega -0.176{\omega }^2$

Here, the acentric factor is $\omega$.

The reduced temperature.

$T_r=\frac{T}{T_c}$

Here, critical temperature is $T_c$.

The expression $\alpha$ as a function of the reduced temperature.

$\alpha ={\left[1+m\left(1-T_r^{0.5}\right)\right]}^2$

Here, reduced temperature is $T_r$.

The expression of a at the critical point.

$a=0.42747R^2\frac{T_c^2}{P_c}\times \alpha$

The expression of b as Soave equation.

$b=0.08664R\frac{T_c}{P_c}$

(C)

Interpretation Introduction

Interpretation:

The parameter a and b of 1-propanol

Concept Introduction:

Write the relationship between the parameter, m and Soave’s EOS.

$m=0.480+1.574\omega -0.176{\omega }^2$

Here, the acentric factor is $\omega$.

Write the reduced temperature.

$T_r=\frac{T}{T_c}$

Here, critical temperature is $T_c$.

Write the expression $\alpha$ as a function of the reduced temperature.

$\alpha ={\left[1+m\left(1-T_r^{0.5}\right)\right]}^2$

Here, reduced temperature is $T_r$.

Write the expression of a at the critical point.

$a=0.42747R^2\frac{T_c^2}{P_c}\times \alpha$

Write the expression of b as Soave equation.

$b=0.08664R\frac{T_c}{P_c}$

(D)

Interpretation Introduction

Interpretation:

The parameter a and b of Pentane.

Concept Introduction:

Write the relationship between the parameter, m and Soave’s EOS.

$m=0.480+1.574\omega -0.176{\omega }^2$

Here, the acentric factor is $\omega$.

Write the reduced temperature.

$T_r=\frac{T}{T_c}$

Here, critical temperature is $T_c$.

Write the expression $\alpha$ as a function of the reduced temperature.

$\alpha ={\left[1+m\left(1-T_r^{0.5}\right)\right]}^2$

Here, reduced temperature is $T_r$.

Write the expression of a at the critical point.

$a=0.42747R^2\frac{T_c^2}{P_c}\times \alpha$

Write the expression of b as Soave equation.

$b=0.08664R\frac{T_c}{P_c}$

(E)

Interpretation Introduction

Interpretation:

The parameter a and b of Decane.

Concept Introduction:

Write the relationship between the parameter, m and Soave’s EOS.

$m=0.480+1.574\omega -0.176{\omega }^2$

Here, the acentric factor is $\omega$.

Write the reduced temperature.

$T_r=\frac{T}{T_c}$

Here, critical temperature is $T_c$.

Write the expression $\alpha$ as a function of the reduced temperature.

$\alpha ={\left[1+m\left(1-T_r^{0.5}\right)\right]}^2$

Here, reduced temperature is $T_r$.

Write the expression of a at the critical point.

$a=0.42747R^2\frac{T_c^2}{P_c}\times \alpha$

Write the expression of b as Soave equation.

$b=0.08664R\frac{T_c}{P_c}$