The temperature dependence of a reaction is given by K = AT²exp(-E_o/RT).
The activation energy (E_a) of the reaction is given by -

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HPSC Assistant Professor 2018 Chemistry (Official Paper)

Answer 1

CONCEPT:

Arrhenius Equation and Modified Temperature Dependence

The Arrhenius equation describes how the rate constant depends on temperature, usually in the form , where is the activation energy.
In the modified equation , the term accounts for an additional temperature dependency, but still represents the activation energy barrier.
The activation energy is the energy required to start the reaction, which in this case is given directly by .

EXPLANATION:

The form of the equation ) suggests that despite the additional factor, the exponential term controls the temperature dependence of the reaction rate.
The activation energy is thus directly given by , which is the energy required for the reaction to occur.

CONCLUSION:

The correct answer is:

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