Pure A is fed to an existing CSTR at conditions shown below, which is connected

in series to an existing tubular reactor. The volume of the CSTR is $1200d{m}^3.$

$C_{p0}=0\mathrm{.}005m$

$v_0=1000d{m}^3$

The rate is plotted in the figure below as a function of conversion for the conditions

at which the reaction is to be carried.

a$)$ Calculate $x_1?[2$ Marks$]$

b$)$ Calculate $F_{AO}$ and $F_{A,1}?[2$ Mark$]$

c$)$ I the final conversion is $80\%,$ Calculate the volume of the PFR$?[3$ Marks$]$