The volume of gas at 20°c and 1.00 bar that adsorbed on a cold surface was 1.52 cm3 at 56.4 kpa and 2.77 cm3 at 108 kpa. find the equilibrium constant, and volume of a monolayer.

Explanation:

According to Langmuir isotherm,

where,     = fraction coverage by gas molecules

                    k = rate constant

                    P = partial pressure of gas

Also,    

or      

             k =

Now, equation and for as follows.

      =

              =

                        .......... (1)

As it is given that is 56.4 kPa, is 108 kPa, is and is .

Therefore, putting these values into equation (1) as follows.

                 =  

                 = 27.44

Thus, we can conclude that volume of monolayer is 27.44 .

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