Question $5(10$marks$)$

The following data were obtained for the adsorption of carbon dioxide on a constant mass of

charcoal at $0C.$ The masses of carbon dioxide have been standardised for a pressure of

$101$kPa and a temperature of $0C.$

a$.$ Calculate the number of moles of gas adsorbed for each situation,

b$.$ Determine the corresponding volume of $C{O}_2$ for each case, assuming that it behaves as a

perfect gas at $0C$ and $101$kPa $($standardised pressure$).$

c$.$ Determine how well the data are described by the Langmuir isotherm. What information

does this give you about the nature of the adsorption process?

d$.$ Find the volume of carbon dioxide corresponding to complete coverage of the charcoal

surface.

e$.$ Explain how you could use this result to calculate the surface area of the charcoal. What

additional information would you need to get a numerical result?

f$.$ Suggest another isotherm that you could use if the fit for the Langmuir isotherm were

poor.