For the gas$-$phase reaction $(AB+C),$ the following reaction rates were obtained constant$-$volume batch reactor with a volume of $1m^8.$ The reaction temperature was fixed at $500K$ and initially only $A$ is present in the reactor at $1$atm $(10$ peints$)$

Calculte the reaction time to achieve the $20\%$ conversion of the constant$-$pressure batch reactor operating at $500k$ and $1$atm. The titiolume of reactor is $1m^3.$ Initially only A is present in the reactor. $(10$ points$)$