For the decomposition COCl2(g) -> CO(g) + Cl2(g) with delta-H = 19 kcal/mol, the rate constant follows ln k = 15 - 5000/T. Calculate the activation energy (in kcal/mol) for the reaction.

9.94
5.00
19.0
10.0

Correct answer: 9.94

Solution

Matching ln k = ln A - Ea/(RT) gives Ea/R = 5000, so Ea = 5000 x R = 5000 x 1.987 cal/mol = 9935 cal/mol approx 9.94 kcal/mol.

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