Chapter 8.5, Problem 9E

Interpretation Introduction

Interpretation:

The fugacity of the compound in the solid phase at temperature 275 K and pressures 1 bar, 10 bar, 100 bar and 1000 bar.

Concept Introduction:

The Poynting equation to estimate the fugacity $\left(f\right)$ of the compound in the solid phase is,

$f=f^{sat}\exp \left\{\frac{\underset{\_}{V}\left(P-P^{sat}\right)}{RT}\right\}$

Here, molar volume is $\underset{\_}{V}$, pressure is $P$, vapor pressure is $P^{sat}$, gas constant is $R$, temperature is $T$, and the fugacity of a liquid or vapor that is at its vapor pressure is $f^{sat}$.

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

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

Here, system temperature is T.

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

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

The expression of vapor pressure using Antoine equation is,

$P^{sat}={10}^{\left[A-\frac{B}{C+T\left(°\text{C}\right)}\right]}$

Here, temperature in degree Celsius is $T\left(°\text{C}\right)$, and Antoine coefficients are $A,B,\text{and}C$.