Using the methodology of Example $4-1$ as a guide $($fogler $4$ ed$),$ solve the following problem: Consider the elementary reaction: A$($g$)+$ B$($g$)$ C$($g$)$ which is carried out in a variable volume BATCH where pressure and temperature changes are negligible. Under these conditions, the reaction rate constant is $5$ mol$^-1$ dm$^3$hr$^-1,$ the food carries a $15$ mol$\%$ excess of B$,$ and CAO is $0\mathrm{.}2$ mol$/$dm$^3.$ Calculate the reaction time to achieve $95\%$ conversion.$)($