For the first order reaction A forms P, the temperature (T) dependent rate constant (k) was found to follow the equation log k = -(2000)1/T +60 . The pre-exponential factor A and the activation energy Ea, respectively are ( IIT 2009)
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Solution
Given, log K = 6 - 2000/T
On comparing it with our standard equation , we have,
Since, log K = log A - Ea/2.303RT So, A = 106 sec-1 and Ea = 38.3 kJ/mole