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​For a reaction, raising the temperature from 200K to 300K results in the increase of rate constant by a factor of 2. The activation energy for this r
Question

​For a reaction, raising the temperature from 200K to 300K results in the increase of rate constant by a factor of 2. The activation energy for this reaction in kJ mol-1 is closest to (ln2=0.69). 

A.

7.0

B.

3.5

C.

14.0

D.

0.83

Correct option is B

The dependence of rate constant on temperature may be derived from the Van't Hoff equation as applicable to a reaction at equilibrium. Consider a general equilibrium reaction

where ΔE is the energy change of the reaction

where I represents a constant which may have any value including a value of zero. If we take it to be zero, then the above two relations may be written as

The constant A is frequently referred to as the pre-exponential factor.

The constant Ea is known as the energy of activation.

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