Desorption of a gas from metal surface follows first-order kinetics. The rate constant of desorption can be given by Arrhenius equation. If the desorption of hydrogen on manganese is found to increase

Question

Desorption of a gas from metal surface follows first-order kinetics. The rate constant of desorption can be given by Arrhenius equation. If the desorption of hydrogen on manganese is found to increase 10 times on increasing the temperature from 600 to 1000 K, the activation energy of desorption is

Prashant Kotian · Accepted Answer

Correct answer: B. According to Arrhenius equation: log(k2/k1) = (Ea / 2.303 R) * (1/T1 - 1/T2). Given: k2/k1 = 10, T1 = 600 K, T2 = 1000 K, R = 2 cal/mol.K = 2*10^-3 kcal/mol.K. log(10) = 1 = (Ea / (2.303 * 2*10^-3)) * (1000 - 600) / (600 * 1000) => 1 = (Ea / (4.606 * 10^-3)) * (400 / 600000) => Ea = (4.606 * 10^-3 * 600000) / 400 = 6.9 kcal/mol.

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