A hydrogenation reaction is carried out at 500 K. If the same reaction is carried out in the presence of a catalyst at the same rate, the temperature required is 400 K. The activation energy of reacti

Question

A hydrogenation reaction is carried out at 500 K. If the same reaction is carried out in the presence of a catalyst at the same rate, the temperature required is 400 K. The activation energy of reaction (in kJ/mol), if the catalyst lowers the activation energy by 20 kJ/mol, is

Prashant Kotian · Accepted Answer

Correct answer: 0100. Since rates are equal, k_uncatalysed = k_catalysed. Assuming A is constant: Ea1 / (R × 500) = Ea2 / (R × 400). We know Ea2 = Ea1 - 20. Thus, Ea1 / 5 = (Ea1 - 20) / 4. 4Ea1 = 5Ea1 - 100, which gives Ea1 = 100 kJ/mol. Therefore, correct answer is 0100.

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