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Question: The rate constant of a first order reaction is 10<sup>–3</sup> min<sup>–1</sup> at 300 K. The temper...

The rate constant of a first order reaction is 10–3 min–1 at 300 K. The temperature coefficient of the reaction is 2. What is the rate constant of the reaction at 350 K approximately ?

A

16 × 10–3

B

64 × 10–3

C

32 × 10–3

D

250

Answer

32 × 10–3

Explanation

Solution

kT2kT1\frac{k_{T_{2}}}{k_{T_{1}}}= (µ)DT/10

or kT2103\frac{k_{T_{2}}}{10^{- 3}} = 25

or kT2k_{T_{2}} = 25 × 10–3 = 32 × 10–3