$1.$ The following elementary irreversible reaction is in liquid phase.

A $+$ B $->$ C

An equal molar of A& B enters at $360$ K with v$0=4$ dm$3/$s$.$ For the given data below:

$$H$\_$RX$=-2500$ J$/$mol

Activation energy, E $=50\mathrm{.}0$ kJ$/$mol

k $=0\mathrm{.}01$ dm$3/$mol$.$s

CA$0=9\mathrm{.}3$ mol$/$dm$3$

CPA $=$ CPB $=150$ J$/$mol$.$K $=150$ kJ$/$kmol$.$K

CPC $=300$ kJ$/$kmol$.$K

i$)$ Calculate the volume of PFR and CSTR required to achieve $80\%$ conversion.

PLEASE SHOW THE INTEGRATION STEPS IN FULL WHEN CALCULATING VOLUME OF PFR$.$ THANK YOU