Consider the following parallel reactions:

B

A

C $2$

Given that:

Both reactions are first order

The activation energy for the reaction of formation of B is $27k\frac{J}{m}ol$ and that for the reaction of formation of $C$ is $35k\frac{J}{m}ol.$

The preexponential factors for both reactions are equal.

At any time, $\frac{B}{C}=\frac{k_1}{k_2}.$

a$.$ Draw an Arrhenius plot for the two reactions.

b$.$ Calculate the ratio of $\frac{B}{C}$ at $300K.$

c$.$ At what temperature is the ratio $\frac{B}{C}$ maximum? Explain your answer.