Consider the Arrhenius equation given below and mark the correct option.
$k = {Ae}^{- E_{a} / RT}$

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Rate constant decreases exponentially with increasing activation energy and decreasing temperature

Rate constant increases exponentially with decreasing activation energy and decreasing temperature

Rate constant increases exponentially with increasing activation energy and decreasing temperature

Rate constant increases exponentially with decreasing activation energy and increasing temperature

answer is D.

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Detailed Solution

According to Arrhenius equation, $k = {Ae}^{- E_{a} / RT}$
$k \propto e^{- E_{a}} \Rightarrow k \propto e^{- 1 / T} \propto e^{T}$
It indicates that as activation energy decreases, rate constant increases and as temperature increases, rate of reaction increases.