The initial reaction rate for the elementary reaction

$2A+B4C$

was measured as a function of temperature when the concentration of A was $2M$ and that of $B$ was $1\mathrm{.}5M.$

$\backslash$table$[[-r_A(mo\frac{l}{d}{m}^3*s)$:$,0\mathrm{.}002,0\mathrm{.}046,0\mathrm{.}72,8\mathrm{.}33],[T(K)$:$,300,320,340,360]]$

$($a$)$ What is the activation energy?

$($b$)$ What is the frequency factor?

$($c$)$ What is the rate constant as a function of temperature using Equation $($S$3-5)$ and $T_0=27C$ as the base case?