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

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

$A,,-r_{A2}=k_2{C}_A,k_2=0\mathrm{.}4mi{n}^{-1}$

Pure $A$ is fed to the reactor at a concentration of $250mo\frac{l}{L}.$

Determine the exit concentrations of species $A,B,$ and $C$ if $85\%$ conversion of species A takes place under steady conditions. $($Hint: You may want to find the residence time $(,$ tau$)$ to achieve the same conversion of $A)$

A$.C_A=37\mathrm{.}50mo\frac{l}{L}$;$C_B=304\mathrm{.}7$

$mo\frac{l}{L}$;$C_C=29\mathrm{.}95mo\frac{l}{L}$

B$.C_A=27\mathrm{.}50mo\frac{l}{L}$;$C_B=314\mathrm{.}7mo\frac{l}{L}$;$C_C=39\mathrm{.}95mo\frac{l}{L}$

C$.C_A=37\mathrm{.}50mo\frac{l}{L_A}$;$C_B=124\mathrm{.}7mo\frac{l}{L}$;$C_C=39\mathrm{.}95mo\frac{l}{L}$

D$.C_A=47\mathrm{.}50mo\frac{l}{L_A}$;$C_B=325\mathrm{.}7mo\frac{l}{L}$;$C_C=39\mathrm{.}95mo\frac{l}{L}$

E$.C_A=37\mathrm{.}50mo\frac{l}{L}$;$C_B=324\mathrm{.}7mo\frac{l}{L}$;$C_C=49\mathrm{.}95mo\frac{l}{L}$