The rate of a chemical reaction doubles for every `10^(@)` C Lrise of temperature. If the temperature is raised by `50^(@)` C, the rateofthe^reaction increases by about

Options

A. 24 times
B. 32 times
C. 64 times
D. 10 times

Explanation

According to Arrhenius theory, Temperature coefficient A = 2 (given)
`(A^(Delta T//10)) = (k_(2))/(k_(1)), 2^(50//10) = 2^(5) = 32 = (k_(2))/(k_(1))`
`therefore 32k_(1) = k_(2)`. This means when the temperature is raised by `50^(@)C`, then the rate increases by 32 times.