Catalyst A reduces the activation energy for a reaction by 10 kJ mol - 1 at 300 K . The ratio of rate constants, k T , Catalysed k T , Uncatalysed is e x . The value of x is____[nearest integer] [Assu

Question

Catalyst A reduces the activation energy for a reaction by 10 kJ mol - 1 at 300 K . The ratio of rate constants, k T , Catalysed k T , Uncatalysed is e x . The value of x is____[nearest integer] [Assume that the pre-exponential factor is same in both the cases. Given R = 8 . 31 J K - 1 mol - 1 ]

TestHub · Accepted Answer

Arrhenius equation for the rate constant of a reaction in terms of energy of activation is given by

$K = {Ae}^{- \frac{Ea}{RT}}$

$K_{catalyst} = {Ae}^{\frac{Ea'}{RT}}$

$K_{uncatalysed} = {Ae}^{- \frac{Ea}{RT}}$

$\frac{K_{catalyst}}{K_{Uncatalysed}} = e^{\frac{Ea - E_{a}^{'}}{RT}} = e^{\frac{10 \times 1000}{8.314 \times 300}} = e^{4}$

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