Consider the Arrhenius equation given below and mark the correct option.

k = A e–Ea /RT


The given Arrhenius equation can be written as



Here, A is the Arrhenius constant, Ea is the activation energy, R is Universal gas constant and T is temperature.


If we differentiate both sides with respect to time (t) we get,


……… Equation1


Differentiation of A and R with respect to time t is zero as they are constant values.


As we know,


……. Equation2


Rate constant increases exponentially with time when Ea decrease and T increases with the passage of time.


As shown in equation 1 and equation 2.


Thus option (iv) is correct.

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