Q$2.($a$)$ State three differences between physisorption and chemisorption.

$($b$)$ What are the three main assumptions of the Langmuir adsorption isotherm model?

$($c$)$ If $=\frac{V}{V_{}},$ use the Langmuir adsorption isotherm to show that $\frac{P}{V}=\frac{P}{V_{}}+\frac{1}{K{V}_{}},$

defining all terms used.

$($d$)$ The data below for the adsorption of ammonia on charcoal $($measured at $273K$ and $1\mathrm{.}013$

${10}^{5}Pa)$ was found to fit the Langmuir adsorption isotherm:

$($i$)$ Determine the Langmuir constants, $K$ and $V_{}.$

$($ii$)$ Estimate the surface area of the charcoal if one molecule of ammonia covers $9\mathrm{.}0$

${10}^{-20}{m}^2$ of the surface.