The liquid phase reaction A $+$ B$$ Cfollows an elementary rate law and takes place isothermally in a $200$ dm$3$ intermittent reactor. The concentration of the feed currents A and B is $1$ mol$/$dm$3.$ How long will it take to obtain a $90\%$ conversion in the reactor if the reaction is carried out out at $77\backslash$deg C$?(30$ pts$.)$

Consider: k $=0\mathrm{.}07$ dm$3$mol $$ min $($at $27\backslash$deg C$)$ and E $=20$ kcal$$mol