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If K(1)= Rate constant at temperature T(...

If `K_(1)=` Rate constant at temperature `T_(1)` and `k_(2)` rate constant at temperature `T_(2)` for a first order reaction, then which of the following relation is correct ?

A

`"log "(k_(1))/(k_(2))=(2.303 E_(a))/(R) ((T_(2)-T_(1))/(T_(1)T_(2)))`

B

`"log"(k_(2))/(k_(1))=(E_(a))/(2.303 R) ((T_(2)-T_(1))/(T_(1)T_(2)))`

C

`"log "(k_(2))/(k_(1))=(E_(a))/(2.303 R) ((T_(1) T_(2))/(T_(2)+T_(1)))`

D

`"log "(k_(1))/(k_(2))=(E_(a))/(2.303 R)((T_(1)T_(2))/(T_(2)-T_(1)))`

Text Solution

Verified by Experts

The correct Answer is:
B
We know `k=Ae^(-E_(a)//RT)` For two different temperatures log `((k_(2))/(k_(1)))=(Ea)/(2.303 R)((T_(2)-T_(1))/(T_(1)T_(2)))`
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