Chapter 10, Problem 10.24P

Interpretation Introduction

Interpretation:

Preperation of plot between fugacity and pressure and fugacity coefficient and pressure at the 200⁰C and 0 to 40 bar pressure for chloroform.

Concept introduction:

The demonstration of liquid state by the equation of state is usually difficult. Thus, the calculation of fugacity of a liquid depends on the saturated liquid state as a reference state.

Fugacity for liquid can be calculated by the equation given as follows:

  $f_i[T,P]={\varphi }_i^{sat}{P}_i^{sat}\exp \left[\frac{V_l^i\left(P-P_i^{sat}\right)}{RT}\right]$

Where,

  ${\varphi }_i^{sat}$= Fugacity coefficient at saturation

  $P_i^{sat}$ = Pressure at saturation

  $V_l^i$ = Volume of liquid

T= temperaturE

The fugacity coefficient for fugacity coefficient can be calculated as:

  ${\varphi }_i^{sat}=\exp \left[\frac{P_r}{T_r}\left(B^0+\omega B^1\right)\right]$

Where,

  $P_r$ = Reduced pressure

  $P_r=\frac{P_i^{sat}}{P_c}$

Where,

$P_c$ = Critical pressurE

Similarly, $T_r$ = reduced temperature = $\frac{T}{T_C}$

  $\begin{array}{l}{B}^0=0.083-\frac{0.422}{T_r^{1.6}}\\ B^1=0.139-\frac{0.172}{T_r^{4.2}}\end{array}$

$B^0$ and $B^1$are the correlation coefficient given in the book.