The liquid phase isothermal reaction.

Total $(30$ marks$)$

$A+B=P+Q$

follows a $2^{nd}$ order kinetics.

$-r_A=k{C}_A{C}_B$

The reaction is carried out in two CSTRs in series. The reactors operate at a temperature of $50C$ and a pressure of $2$atm. The rate constant at the operating condition is $36\mathrm{.}36m^{3}kmo{l}^{-1}.h{r}^{-1}.$ The feed flowrate is $1\mathrm{.}8m^{3}h-1$ and the concentrations of A and $B$ are the same and equal to $0\mathrm{.}07$kmol.$m^3.$ The desired conversion is $75\%.$

$($a$)$ Determine the conversion in the $1^{sh}$ reactor when the total volume of the reactor cascade is minimum. Tind nt minimam $V_1$ min prod $x_m$

$[22$ marks$]$

$($b$)$ Use the conversion determined in section $($a$)$ or assume a conversion of $54\%$ in $1^{st}$ reactor and determine the volume of the individual reactors and their sequence.

$[8$ marks$]$

Total $(30$ marks$)$

Q$3.$ The liquid phase isothermal reaction,

$A+B=P+Q$

follows a $2^{nd}$ order kinetics.

$-r_A=k{C}_A{C}_B$

The reaction is carried out in two CSTRs in series. The reactors operate at a temperature of $50C$ and a pressure of $2$atm. The rate constant at the operating condition is $36\mathrm{.}36m^3*kmo{l}^{-1}*h{r}^{-1}.$ The feed flowrate is $1\mathrm{.}8m^3*h^{-1}$ and the concentrations of A and $B$ are the same and equal to $0\mathrm{.}07kmol{m}^{-3}.$ The desired conversion is $75\%.$

$($a$)$ Determine the conversion in the $1^{**}$ reactor when the total volume of the reactor cascade is minimum. ind on menomam $V$ i min gith $****$

$[22$ marks$]$

$($b$)$ Use the conversion determined in section $($a$)$ or assume a conversion of $54\%$ in $1^{51}$ reactor and determine the volume of the individual reactors and their sequence.

$[8$ marks$]$

Total $(30$ marks$)$