The reactionA +R ⇄ C + Dis carried out adiabatically in a series of staged packed-bed reac...

The reaction

A +R ⇄ C + D

is carried out adiabatically in a series of staged packed-bed reactors with interstage cooling. The lowest temperature to which the reactant stream may be cooled is 27 °C. The feed is equimolar in A and B and the catalyst weight in each reactor is sufficient to achieve 99.9% of the equilibrium conversion. The feed enters at 27 °C and the reaction is carried out adiabatically. If four reactors and three coolers are available, what conversion may be achieved?

Additional information:

First prepare a plot of equilibrium conversion as a function of temperature. [Partial ans.: T= 360 K, Xe = 0.984; T= 520 K, Xe = 0.09; T = 540 K, Xe = 0.057]