The following parallel reactions take place in an isothermal, constant$-$volume CSTR:

$A-2B,-r_{A1}=k_1{C}_A,k_1=1\mathrm{.}3$min$-1$

$3A-C,-r_{A2}=k_2{C}_A,k_2=0\mathrm{.}4$min$-1$

Pure $A$ is fed to the reactor at a concentration of $350mo\frac{l}{L}.$

To achieve $(x_A)$ conversion of species A under steady conditions, the following data have been obtained:

Residence time $()=2\mathrm{.}27$min

Exit Concentration of Species A: $C_A=52\mathrm{.}50mo\frac{l}{L}$

Exit Concentration of Species B: $C_B=309\mathrm{.}9mo\frac{l}{L}$

Exit Concentration of Species C: $C_C=47\mathrm{.}7mo\frac{l}{L}$

Based on these, calculate the overall conversion of species $A,$ the overall selectivity of species $B$ over $C(\frac{B}{C}),$ and the overall yield of species $B.$

A$.x_A=0\mathrm{.}90$;tilde$(S{)}_{\frac{B}{C}}=2\mathrm{.}50$;tilde$(Y{)}_B=1\mathrm{.}04$

B$.x_A=0\mathrm{.}85$;tilde$(S{)}_{\frac{B}{C}}=3\mathrm{.}50$;tilde$(Y{)}_B=0\mathrm{.}84$

C$.x_A=0\mathrm{.}90$;tilde$(S{)}_{\frac{B}{C}}=5\mathrm{.}50$;tilde$(Y{)}_B=2\mathrm{.}04$

D$.x_A=0\mathrm{.}85$;tilde$(S{)}_{\frac{B}{C}}=6\mathrm{.}50$;tilde$(Y{)}_B=1\mathrm{.}04$

E$.x_A=0\mathrm{.}95$;tilde$(S{)}_{\frac{B}{C}}=3\mathrm{.}50$;tilde$(Y{)}_B=1\mathrm{.}04$