The reaction A + B ⇄ 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 equal molar 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.

AHRX 30000 cal/mol A CPA = CPB = CPC = CPD = 25 cal/mol. K Ke (50C) = 500000 FAO 10 mol A/min