The critical pressure and temperature needed to find the reduced pressure and temperature can be found in the CRC Handbook of Chemistry and Physics:

Tc = 506.5 K
Pc = 4750 kPa

These equations can now be plugged into Polymath.

Polymath

In this case only 18 moles of acetic acid is left giving a conversion of 94 %. This is much better than the case with no reactive distillation.

In real life the other products will also evaporate. We can develop similar equations for the other species to see how their evporation effects the reaction.

Reactive Distillation - All Species Evaporate


Mole Balance Mass Balance
Rate Law

Physical properties and vapor pressure equations for acetic acid, methanol, and water