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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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