Q$2.$ Consider a CSTR with the following irreversible liquid phase reaction:

$2A(l)+B(l)2C(l)+D(l),r_A=-k{C}_A^2{C}_B^{0\mathrm{.}5}$

The Arrhenius parameters for this reaction are: $A=7{10}^6\frac{L^{1\mathrm{.}5}}{m}o{l}^{1\mathrm{.}5}*s,E=55k\frac{J}{m}ol$

The reactor is fed with a solution and the solution at $30C$ has $6mo\frac{l}{L}$ of A and $4mo\frac{l}{L}$ of $B.$

a$)$ What flowrate $($in $\frac{L}{s})$ would give $88\%$ conversion of $A$ at $50C?$

b$)$ The reactor is operating at $50C$ with the flowrate found in part a$).$ Under this condition,

the flowrate of cooling water through the coil is $4\frac{L}{s}.$ What is the heat of reaction, ${}_{r}H,$ for

the reaction above $($in $k\frac{J}{m}ol)?$

c$)$ What is the overall heat transfer coefficient $($in $\frac{W}{m^2}.C)?$

Additional data for Q$2$: