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Q#1 Solution Thermodynamics GATE CH 2023 MCQ +2 marks -0.66 marks

CO and H participate in a catalytic reaction. The partial pressures (in atm) of the reacting species CO and \(H_2\) in the feed stream are \(p_{co}\), and \(p_{H2}\), respectively. While CO undergoes molecular adsorption, H adsorbs via dissociative adsorption, that is, as hydrogen atoms. The equilibrium constants (in \(atm^{-1}\)) corresponding to adsorption of CO and \(H_2\) to the catalyst sites are\(K_{CO}\) and \(K_{H2}\), respectively. Total molar concentration of active sites per unit mass of the catalyst is Ct (in \(mol.(g cat) ^{-1}\)). Both the adsorption steps are at equilibrium. Which one of the following expressions is the CORRECT ratio of the concentration of catalyst sites occupied by CO to that by hydrogen atoms?

\(\frac{K_{CO}p_{CO}}{\sqrt{K_{H_2}p_{H_2}}}\).

\(\frac{K_{CO}}{\sqrt{K_{H_2}}}\)

\(\frac{p_{CO}}{\sqrt{p_{H_2}}}\)

\(\frac{K_{CO}p_{CO}}{K_{H_2}p_{H_2}}\)

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