QUESTION $3.$ A certain amount of component A was initially added to a semi$-$batch reactor. Then, component B is fed to the reactor at C$\_($Bo$)$ concentration and volumetric rate v$\_(0).$ The reaction A$->$B$->$C takes place in the reactor. The liquid volume in the reactor is V and varies with time. Derive the equations that give the change in the concentrations of components A and B in the reactor over time at constant temperature and pressure.