Question 64

CHNAT2 marksNeeds review
Consider the flowsheet in the figure for manufacturing

via the reaction

in an isothermal CSTR. The split in the separator is perfect so that the recycle stream is free of

and the product stream is pure

. Let

denote the mole fraction of species

(

) in the CSTR, which is operated in excess

with

. The reaction is first-order in

with the reaction rate

, where

kmol/(m

h).
Diagram for Chemical Engineering question 64

The reactor volume

in m

is to be optimized to minimize the cost objective

, where

is the recycle rate in kmol/h. For a product rate

kmol/h, the optimum value of

is ____ m

(rounded off to the nearest integer).
GIVEN:


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2025CH

GATE CH 2025 · Paper 1

Chemical Engineering · Original paper archive

Section
Chemical Engineering
Question type
Numerical answer (NAT)
Marks
2 marks

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