The attainable region approach for reaction-mixing systems is combined
with geometric methods for the feasibility of separations The result
is a systematic approach to identify the feasible compositions that ca
n be achieved in processes combining simultaneous reaction mixing, and
separation. An activity-based formulation for both nonideal VLE and r
eaction-rate expressions is applied to develop hybrid reactor-separato
r models for the multiphase CSTR and PFR with simultaneous vapor remov
al A reaction-separation vector is defined that satisfies the same geo
metric properties as the reaction vector Therefore, the attainable reg
ion can be constructed following the existing procedure for reaction-m
ixing systems. This approach provides a method to generate feasible pr
ocess alternatives. The technique is demonstrated on two nonideal tern
ary mixtures: the production of dimethyl ether by dehydration of metha
nol and the production of methyl tert-butyl ether from isobutene and m
ethanol. It is shown that for hybrid reaction-separation devices the e
ntire composition space is not always attainable. In such cases, combi
ning a hybrid device with traditional nonreactive separations is requi
red to attain certain products.