Coverage Fraction of an Adsorbent Surface

Question:
At 195K and partial pressure of argon P=24 Torr’s 1 g of activated carbon adsorbs some amount of argon. When the pressure increased 9 times the amount of adsorbed argon increased 5 times. Determine the coverage fraction of the surface at 195K and P=100 Torr’s.

Solution:
For this first-order adsorption, coverage fraction is given by,

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