Chapter 7, Problem 7.23NP

Interpretation Introduction

Interpretation:

This is to be shown that T $\beta$ = 1 +( $\partial \ln z/\partial T{)}_P$ and that P_K = 1-P( $\partial \ln z/\partial P{)}_T$

Concept Introduction :

The compressibility factor is defined by the below equation:

  $z=\frac{PV}{nRT}$

Here,

z = compression factor

V = volume

n = number of moles

R = gas constant

T = temperature

P = pressure

The isobaric volumetric thermal expansion coefficient is defined by the below equation:

  $\beta =\frac{1}{V}{\left(\frac{\partial V}{\partial T}\right)}_P$

  $\beta$ = isobaric volumetric thermal expansion coefficient

V = volume

T = temperature

P = pressure