Question $6(10$ pts$).$ During the following reaction of $C_2{H}_{2}B{r}_4$ with $Zn$ :

$C_2{H}_{2}B{r}_4+2Zn{C}_2{H}_2+2ZnB{r}_2.$

$80\%$ single pass conversion of $C_2{H}_{2}B{r}_4$ is attained and the remaining $C_2{H}_{2}B{r}_4$ is separated in a separator from the exit mixture of the reactor and recycled to the reactor. On the basis of $1000k\frac{g}{h}r$ fresh $C_2{H}_{2}B{r}_4$ feed to the reactor, calculate:

a$)$ How much $C_2{H}_2($in $kg)$ is produced per hour.

b$)$ The rate of recycle in $k\frac{g}{h}r.$

c$)$ The rate necessary for $Zn$ to be $20\%$ in excess.

d$)$ The mole ratio of $ZnB{r}_2$ to $C_2{H}_2$ in the final products exiting from the separator.