Chapter 19, Problem 19B.1ST

Interpretation Introduction

Interpretation:

For the given data of adsorption of $CO$ on charcoal at $273K$ the Langmuir isotherm has to be confirmed. The value of $\alpha$ has to be calculated.

Concept Introduction:

The four assumptions in which Langmuir isotherm based on are as follows,

Beyond monolayer coverage the adsorption cannot be proceeded.

The sites on surface are all equivalent.

The adsorption of molecule can occur only at vacant site.

Adsorption probability is independent of neighboring sites occupation.

The relation between surface coverage and pressure in which $\text{α}$ with dimension of $\raisebox{1ex}{$\text{1}$}\!\left/ \!\raisebox{-1ex}{$\text{pressure}$}\right.$ is depicted as follows,

    $\begin{array}{c}\text{θ = }\frac{\text{αp}}{\text{1+αp}}\\ \text{α = }\frac{{\text{k}}_{\text{a}}}{{\text{k}}_{\text{d}}}\end{array}$

Here,    $\theta$ is fractional coverage and p is partial pressure.