Researchers carried out the following pseudo$-$first$-$order reaction A$+$B$->$C $-$T$\_$A$=$k$\_$CC$\_$A in a CSTR followed by a PFR$.$ Both reactors X$\_\backslash$Lambda t$=?$ a$.$ Determine the conversion leaving the isothermal CSTR$.$ b$.$ Determine the required heat transfer area, A$,$ for the CSTR$.$ c$.$ The PFR operates isothermally at $105^$C$.$ Determine the heat transfer required $($ Q $)$ if the conversion leaving the PFR is $0\mathrm{.}95.$ d$.$ Design a control scheme to accomplish the following: $1.$ control the flow of reactants to the CSTR$.2.$ control the temperature of CSTR at the desired setpoint of $105^$C$.3.$ control the temperature of PFR at the desired setpoint of $105^$C$.$