$-r_{1A}=k_1[C_A-\frac{C_D}{K_{1A}}]$

$-r_{2A}=k_2[C_A-\frac{C_U}{K_{2A}}]$

take place in a batch reactor.

Additional information:

$k_1=1\mathrm{.}0mi{n}^{-1},K_{1A}=10$

$k_2=100mi{n}^{-1},K_{2A}=1\mathrm{.}5$

$C_{A0}=1mo\frac{l}{d}{m}^3$

a$.$ Plot and analyze conversion and the concentrations of $A,D,$ and U as a function of time. When would you stop the reaction to maximize the concentration of D$?$ Describe what you find.

b$.$ When does the maximum concentration of $U$ occur? $($Ans: $t=0\mathrm{.}31$min $)$

C$.$ What are the equilibrium concentrations of A $,$ D $,$ and U $?$

d$.$ What would be the exit concentrations from a CSTR with a space time of $1\mathrm{.}0$ min $?$ Of $10\mathrm{.}0$ min $?$ Of $100$ min $?$