Set up a stoichiometric table for the gas phase elementary reaction

$2A+BC$

The reaction takes place in a CSTR$.$ If $2$mol$\frac{s}{m}in$ of A and $2$mol$\frac{s}{m}in$ of $B$ are initially

fed to the reactor,

a$.$ Determine the final molar rates of $A,B$ and $C$ if a $90\%$ conversion of $A$ is achieved.

b$.$ For an isothermal and isobaric reaction, write in terms of conversion expressions for

$C_A,C_B,C_C$ and $-r_A.$

c$.$ What size CSTR can be used to achieve a conversion of $90\%?$ The volumetric flow

rate, $0\mathrm{.}5\frac{m^3}{m}in,$ is constant and the rate constant, $k,$ is $0\mathrm{.}1\frac{m^6}{\text{m}\text{i}\text{n}*mo{l}^2}.$

d$.$ If the reaction is to take place in a PFR$,$ what reactor volume will be required?