Project ForgeChemical Reaction Engineering
Ideal Reactor Design
GATE 2018
Medium
A CSTR and a PFR of equal volume are connected in series for a first-order reaction A→P (k=0.2 s⁻¹). Space-time is 5s for both reactors. The overall fractional conversion of A is (rounded off to third decimal place)
0.816(± 0.01 accepted)
Explanation
CSTR: CA1/CA0=1/(1+kτ)=1/2=0.5. PFR: CAf/CA1=e^(−kτ)=e^(−1)=0.3679. CAf/CA0=0.5×0.3679=0.184. Conversion=1−0.184=0.816.
Source: GATE CH 2018 (2018)
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