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Question

Arrhenius studied the effect of temperature on the rate of a reaction and postulated that rate constant varies with temperature exponentially as k=AeEaRT This method is generally used for finding the activation energy of a reaction. Keeping temperature constant, the effect of catalyst on the activation energy has also been studied.
If x is the fraction of molecules having energy greater than Ea it will be given by:
  1. x=EaRT
  2. x=eEa×RT
  3. Any of these
  4. ln x=EaRT


Solution

The correct option is D ln x=EaRT
In the Arrhenius equation the factor eEaRT corresponds to the fraction of molecules that have kinetic energy greater than Ea. 
x=eEaRT

Taking natural logarithm of both sides of the equation
ln x=EaRT

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