Chapter 15, Problem 15.22P

(a)

Interpretation Introduction

Interpretation:

To show that the UNILAN equation reduces to Langmuir isotherm for s = 0

Concept Introduction:

UNILAN equation for pure species adsorption is given as,

  $n=\frac{m}{2s}\ln \left(\frac{c+P{e}^s}{c+P{e}^{-s}}\right)$

  $z={(1-bn)}^{-1}$

(b)

Interpretation Introduction

Interpretation:

To show that Henry’s Constant k for UNILAN equation is

  $k=\frac{m}{cs}\sinh s$

Concept Introduction:

UNILAN Equation is as given below,

  $n=\frac{m}{2s}\ln \left(\frac{c+P{e}^s}{c+P{e}^{-s}}\right)$

Henry’s constant k is as given below,

  $k=\underset{P\to 0}{\lim }\frac{dn}{dP}$

(c)

Interpretation Introduction

Interpretation:

To examine the detailed behavior of UNILAN equation at P?0 and n?0

Concept Introduction

We find the derivatives of n with respect to P for UNILAN Equation.

UNILAN Equation is as given below,

  $n=\frac{m}{2s}\ln \left(\frac{c+P{e}^s}{c+P{e}^{-s}}\right)$