Please show steps and Explanation

Question # $62$

Propylene glycol is produced by the hydrolysis of propylene oxide$($PO$)$ in the liquid phase:

$C{H}_3$CHOCH$2+H_{2}OC{H}_3$CHOHCH$2OH$

This exothermic reaction occurs readily at room temperature when catalyzed by sulfuric acid. The feed is a stream of $24,000k\frac{g}{h}r$ with the following

Propylene oxide $10$WT$\%,$ Sulfuric acid $1wt\%,$ Water $89wt\%$ Other data are:

Heat capacity of the reaction mixture $4\mathrm{.}18k\frac{J}{Kg.K}$

Heat of reaction $-1459K\frac{J}{K}g$ PO

If an adiabatic reactor is used to achieve a fractional conversion of $0\mathrm{.}8$ for PO with a feed temperature of $20*C,$ the reactor exit temperature is

A$.265K$

B$.295K$

C$.300K$

D$.320K$