Two parallel reactions are known, whose rates are given below;

$A+2B{k}_{l}P$

$Alongrightarro{w}^{k_2}S$

where:

$r_P=0\mathrm{.}14C_A{C}_B$

$r_S=0\mathrm{.}07C_A$

The molar flow $P$ in the output of reactor is $1\mathrm{.}5mo\frac{l}{m}in,$ with the initial concentration of A and $B$ equal to $2$ and $1mo\frac{l}{L}$ in an MFR$,$ respectively. The inlet flow is $10\frac{L}{m}in.$ Calculate the overall yield of $P$ and volume of reactor.