Chapter 19, Problem 19B.2ST

Interpretation Introduction

Interpretation:

The isosteric enthalpy of adsorption at this fractional coverage has to be calculated using the given data.

Concept Introduction:

Langmuir isotherm depends on $\text{α = }\raisebox{1ex}{${\text{k}}_{\text{a}}$}\!\left/ \!\raisebox{-1ex}{${\text{k}}_{\text{d}}$}\right.$ which actually depends on $T$, the relation of this $T$ with ${\Delta }_{ad}{H}^{\sout{\circ }}$ is as follows,

    ${\left(\frac{\partial \ln \left(\alpha p^{\sout{\text{o}}}\right)}{\partial T}\right)}_{\theta }\text{ = -}\frac{{\text{Δ}}_{\text{ad}}{\text{H}}^{\sout{\text{o}}}}{R}$

Here, $p^{\sout{\text{o}}}$ is pressure, T is temperature; R is gas constant and ${\text{Δ}}_{\text{ad}}{\text{H}}^{\sout{\text{o}}}$ is standard enthalpy of adsorption.