Chapter 13, Problem 13.75P

Interpretation Introduction

Interpretation:

All the terms, A, B, and C are to be evaluated.

Concept Introduction:

The equations to be used are:

  ${\widehat{\phi }}_i=\exp \frac{P}{RT}\left[B_{ii}+\frac{1}{2}{\displaystyle \sum _j{\displaystyle \sum _k{y}_i{y}_k\left(2{\delta }_{ji}-{\delta }_{jk}\right)}}\right]$   ...... (1)

Here,

  $\begin{array}{c}{\delta }_{ji}\equiv 2B_{ji}-B_{jj}-B_{ii}\\ {\delta }_{jk}\equiv 2B_{jk}-B_{jj}-B_{kk}\end{array}$   ...... (2)

  ${\widehat{\phi }}_i$is the fugacity coefficient of species $i$in vapor phase, $P$is the pressure of the system, $T$is the temperature of the system, and $R$is the universal gas constant.

  ${\phi }_i^{\text{sat}}=\exp \frac{B_{ii}{P}_i^{\text{sat}}}{RT}$   ...... (3)

${\phi }_i^{\text{sat}}$is the fugacity coefficient of pure species $i$in saturated vapor, and $P_i^{\text{sat}}$is the partial pressure of species $i$in the saturated vapor.

  $f_i={\phi }_i^{\text{sat}}{P}_i^{\text{sat}}\exp \frac{V_i{}^l\left(P-P_i^{\text{sat}}\right)}{RT}$   ...... (4)

Here, $f_i$is the fugacity of a pure species $i$.

  $f_i^{\text{sat}}={\phi }_i^{\text{sat}}{P}_i^{\text{sat}}$   ...... (5)

  $f_i^{\text{sat}}$is the fugacity of a saturated liquid.