Let us consider Nitrogen and Argon gas mixture (is using in an isotherm experiments, where both Nitrogen and Argon compete each other to adsorb on a same catalyst surface (two adsorbates). It is requested to derive the Langmuir isotherms for both Nitrogen and Argon. (A step-by-step derivation is required, not a short cut answer)

Hints

Let's assume partial pressure of Nitrogen and Argon is PA and Pa, respectively.

Fractional surface coverage = A+ B; Therefore, fraction unoccupied = 1- A - B

Let us consider Nitrogen and Argon gas mixture is using in an isotherm experiments, where both Nitrogen and Argon compete each other to adsorb on a same catalyst surface (two adsorbates). It is requested to derive the Langmuir isotherms for both Nitrogen and Argon. (A step-by-step derivation is required). (Hints: Let's assume partial pressure of Nitrogen and Argon is PA and Pr, respectively. Fractional surface coverage = 04+08: Therefore, fraction unoccupied=1-04-08