Benzene is nitrated in an isothermal CSTR in three sequential irreversible reactions:

Benzene $+HN{O}_3$ Nitrobenzene $+H_{2}O$

Benzene $+HN{O}_3$ Nitrobenzene $+H_{2}O$

Benzene $+HN{O}_3$ Nitrobenzene $+H_{2}O$

Assuming each reaction is linearily dependent on the concentrations of each reactant; derive a dynamic mathematical model of the system. There are two feed streams, one pure benzene and one concentrated nitric acid $(98$ wt $\%).$ Assume constant densities and complete miscibility.