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Question: The rate constant of a certain reaction is given by log K = A – \(\frac{B}{T}\) + C log T. Then acti...

The rate constant of a certain reaction is given by log K = A – BT\frac{B}{T} + C log T. Then activation energy of reaction at 300 k is -

A

BT\frac{B}{T} + C log T

B

[2.303 B + CT]R

C

C log T

D

B + CTR

Answer

2.303B+CT2.303 B + CTR

Explanation

Solution

log k = A – BT\frac{B}{T} + C log T

OR ln k = 2.303 A – B×2.303T\frac{B \times 2.303}{T} + C ln T

dlnkdT=[2.303BT2+CT]\frac{d\mathcal{l}nk}{dT} = \left\lbrack \frac{2.303B}{T^{2}} + \frac{C}{T} \right\rbrack

Ea = [2.303 B + CT] R