For a reaction of hydrogen with iodine the rate constant is

For a reaction of hydrogen with iodine, the rate constant is 2.45*10^-4 L mol-1 s-1 at 302 C and 0.950 L Mol-1 s-1 at 508 C.
(A) calcuate the arrhenius parameter for this reaction (B) what is the value of the rate constant at 390 C

Solution

arrhenius eqn

k=Ae^(-Ea/Rt)

at two given temp put temp and rate constant in eqn and divide.

2.45*10^-4/.905=e^(-Ea/R*575)/e^(-Ea/R*781)

e^-Ea/R(1/575-1/781)=2.7*10^-4

on solving

Ea=-1.08*10^5

(b) using same eqn k at 663k

divide with k at 508c

k/.905=e^-Ea/R(1/663-1/781)

on solving k=15.96 Mol-1 s-1