Chapter 8.5, Problem 7E

(A)

Interpretation Introduction

Interpretation:

Estimate the fugacity of 1-propanol at temperature 300 K and pressure 1 bar using Peng-Robinson EOS.

Concept Introduction:

The expression of the parameter used in calculation of a for Peng-Robinson EOS is,

$\kappa =0.37464+1.54226\omega -0.26993{\omega }^2$

Here, parameter is $\kappa$.

The Peng-Robinson equation is,

$P=\frac{RT}{\underset{\_}{V}-b}-\frac{a}{\underset{\_}{V}\left(\underset{\_}{V}+b\right)+b\left(\underset{\_}{V}-b\right)}$

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

The expression of the reduced temperature $\left(T_r\right)$ is,

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

Here, system temperature is T.

The expression of the compressibility factor $\left(Z\right)$ is,

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

(B)

Interpretation Introduction

Interpretation:

Estimate the fugacity of 1-propanol at temperature 300 K and pressure 5 bar using Peng-Robinson EOS.

(C)

Interpretation Introduction

Interpretation:

Estimate the fugacity of 1-propanol at temperature 400 K and pressure 3 bar using Peng-Robinson EOS.

(D)

Interpretation Introduction

Interpretation:

Estimate the fugacity of 1-propanol at temperature 500 K and pressure 10 bar using Peng-Robinson EOS.