Chapter 7.7, Problem 15P

(A)

Interpretation Introduction

Interpretation:

Discuss the result will company violate or not.

Concept Introduction:

Write the expression to calculate the pressure $\left(P\right)$ of the tank using the ideal gas equation.

$\begin{array}{l}P\underset{\_}{V}=RT\\ P=\frac{RT}{\underset{\_}{V}}\end{array}$

Here, gas constant is R and temperature is T.

Write the expression to calculate the molar volume of propane $\left(\underset{\_}{V}\right)$.

$\underset{\_}{V}=\frac{V\left(M{W}_{propane}\right)}{M}$

Here, volume of tank is V, molecular weight of propane is $M{W}_{propane}$, and maximum amount of material that can be stored is M.

(B)

Interpretation Introduction

Interpretation:

Discuss the result will company violate or not.

Concept Introduction:

Write the expression to calculate the reduced temperature.

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

Here, critical temperature is $T_c$ and system temperature is T.

Calculate the reduced pressure $\left(P_r\right)$.

$P_r=\frac{P}{P_c}$

Here, pressure is P.

Write the expression to calculate the compressibility factor $\left(Z\right)$.

$Z=Z^0+\omega Z^1$

Here, compressibility of compound with $\omega =0$ is $Z^0$ and difference between $Z^0\text{and}Z$ is $Z^1$.

(C)

Interpretation Introduction

Interpretation:

Discuss the result will company violate or not.

Concept Introduction:

Write the expression to calculate the virial parameter or coefficient $\left(B^0\right)$.

$B^0=0.083-\frac{0.422}{T_r^{1.6}}$

Write the expression to calculate the virial parameter $\left(B^1\right)$.

$B^1=0.139-\frac{0.172}{T_r^{4.2}}$

Write the expression to calculate parameter as a function of temperature and the acentric factor.

$\frac{B\text{'}{P}_c}{R{T}_c}=B^0+\omega B^1$

Here, function of temperature is $B\text{'}$.

Write the expression to calculate the relative pressure.

$P_r=\frac{P}{P_c}$

Write the expression to calculate the virial compressibility factor $\left(Z\right)$.

$Z=1+\left(\frac{B\text{'}{P}_c}{R{T}_c}\right)\frac{P_r}{T_r}$