Project ForgeChemical Reaction Engineering
Ideal Reactor Design
GATE 2015
Hard
For A→products (order n) with a CSTR(V1) then PFR(V2) in series (Case I) vs. PFR(V2) then CSTR(V1) in series (Case II), same Q, CA0. Choose the correct option:
- ACAf^I/CAf^II>1 for n=1
- CAf^I/CAf^II=1 for n=1
- CCAf^I/CAf^II<1 for n=1
- DCAf^I/CAf^II=1 for n>0
Explanation
For a first-order reaction, the concentration ratios for CSTR and PFR combine multiplicatively regardless of order (multiplication is commutative), so the final conversion is identical whichever unit comes first — but this only holds exactly for n=1, not n>0 in general.
Source: GATE CH 2015 (2015)
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