A catalyst lowers the activation energy of a reaction in such a manner that rate constant at 2 7 ∘ C for uncatalysed reaction equals rate constant at − 7 3 ∘ C for catalysed reaction. By how many kJ o

Question

A catalyst lowers the activation energy of a reaction in such a manner that rate constant at $2 7^{\circ} C$ for uncatalysed reaction equals rate constant at $- 7 3^{\circ} C$ for catalysed reaction. By how many kJ of energy, is the energy barrier reduced?

(Pre-exponential factor A is constant).

(Activation energy of uncatalysed reaction is 24kJ).

TestHub · Accepted Answer

K 200 K ​ = K 300 K ​ e R × 200 − ( E a ​ − x ) ​ = e − 300 E a ​ ​ 200 E a ​ − x ​ = 300 E a ​ ​ 3 E a ​ − 3 x = 2 E a ​ ∴ x = 3 E a ​ ​ ∴ Decreases in activation energy = 8 kJ

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