A liquid equimolar feed of reagent A and an inert component enters a complete mixing

reactor at $350K$ and $50\frac{l}{m}in.$ The stoichiometric reaction is the following:

$A-B+C$

The reaction is first order with a rate constant of:

$k=2\mathrm{.}54{10}^{17}{e}^{-\frac{25000}{RT}}en{h}^{-1}$

a$)$ Calculate the temperature in $K$ to obtain $60\%$ conversion.

b$)$ Calculate the volume of the reactor in liters at the same conversion.

Additional data:

$R=1\mathrm{.}987\frac{\text{c}\text{a}\text{l}}{\text{m}\text{o}\text{l}\text{K}}$

$H_{273K}=-600\frac{\text{B}\text{T}\text{U}}{\text{l}\text{b}\text{m}\text{o}\text{l}}$

$C{p}_A=7\frac{\text{B}\text{T}\text{U}}{\text{l}\text{b}\text{m}\text{o}\text{l}\text{K}}$

$C{p}_B=C{p}_C=4\frac{\text{B}\text{T}\text{U}}{\text{l}\text{b}\text{m}\text{o}\text{l}\text{K}}$

$C{p}_{\text{I}\text{n}\text{e}\text{r}\text{t}\text{e}}=8\frac{\text{B}\text{T}\text{U}}{\text{l}\text{b}\text{m}\text{o}\text{l}\text{K}}$

Has to be one of these:

a$)369K,$ b$)11$ litros

a$)339K,$ b$)7$ litros

a$)389K,$ b$)56$ litros

a$)379K,$ b$)17$ litros