Batch Reactor with Reversible Reaction

Consider a batch reactor in which a reversible reaction is taking place, where

species $A$ is converted to species $B$ and vice versa.

The forward reaction rate constant $k_1=2mi{n}^{-1}$ and the reverse reaction

rate constant $k_2=\frac{7}{8}$min$-1.$

At the initial time $($@$t=0),C_A=1\frac{\text{m}\text{o}\text{l}}{L},$ and $C_B=0mo\frac{l}{L}.$

Calculate the concentrations of A and $B$ as a function of time within this

reactor. Determine the equilibrium concentrations of A and $B,$ and provide the

expression for the time$-$dependent concentrations for A and $B$ if the reaction

follows elementary kinetics.