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Q.

Activation energy of an uncatalysed reaction at 1000 K is 5 Kcal. In presence of catalyst the activation energy of same reaction at same temperature will be (Ratio of rate constants of catalyzed reaction to uncatalysed reaction is 10:1)

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a

2303 cal

b

931 cal

c

394 cal

d

4606 cal

answer is A.

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Detailed Solution

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Kcatalyst=Ae-Ea1RT

Kun catalyst=Ae-Ea2RT

KCKUC=eEa(2)-Ea(1)RT

logKcatalystKuncatalyst  =Ea(2)-Ea(1)2.303RT 

Ea(2)-Ea(1)=4606 cal 

Activation energy of catalysed reaction Ea1 = 5000 - 4606 = 394 cal

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