Project ForgeChemical Reaction Engineering
Ideal Reactor Design
GATE 2015
Hard
A reactor (A→C) has fresh feed F (96 mol% A, 4 mol% inert I) plus a recycle of 0.3F (from reactor effluent, before a splitter producing recycle and product P). Product P contains 50 mol% C. The percentage conversion of A in the reactor, based on A entering at point 1, rounded to 1 decimal place, is
45.5 %(± 1.5 accepted)
Explanation
Overall inert balance: 4=100×xI ⟹ xI=0.04 (effluent, basis F=100). xC=0.50, xA=0.46. Point-1 (feed+recycle) composition: A=96+30×0.46=109.8; total=130. Reactor outlet A=130×0.46=59.8. Conversion=(109.8−59.8)/109.8=45.5%.
Source: GATE CH 2015 (2015)
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