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Question

Chemistry Question on Chemical Kinetics

The equation k = (6.5 × 1012s-1)e-26000K/T is followed for the decomposition of compound A. The activation energy for the reaction is ______ kJ mol-1. [nearest integer]
(Given : R = 8.314 J K-1 mol-1]

Answer

The correct answer is 216
k=AeEaRTk = Ae^{\frac{-Ea}{RT}}
EaRT=26000T\frac{Ea}{RT} = \frac{26000}{T}
Ea = 26000 × 8.314
= 216164 J
= 216 kJ