Engine Operational
GATE CH 2020 (with Solutions).pdf

Q49

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A feed stream containing pure species L flows into a reactor, where L is partly converted to M as shown in the figure. Recycle Stream treamFeedStream/LReactorProductS/(L+)
MM
The mass flow rate of the recycle stream is 20 % of that of the product steam. The overall conversion of L (based on mass units) in the process is 30 % . Assuming steady state operation, the-pass conversion of L (based on mass units) through the reactor is

Options

  1. A.
    34.2 %
  2. B.
    30 %
  3. C.
    26.3 %
  4. D.
    23.8 %

Answer

C

Solution

Recycle Steam Feed1LRe→acMtor2/(L3PLro+duMc) t Given : recycle stream is 20 % over all conversion of L =30% on over all loop single pass conversion - (AmountofLatpoint(1)−Lat(2))/Latpoint(1) Point (3) work at a splitter so composition are same
..
0.7 unrecycled steam of L
R=0.2/times0.7F=0.14FR = 0.2 /times 0.7F = 0.14F
At point (1) F+R= Mixed feed
..
Product contain L=0.7F So, point (2)
0.7F+0.14F=/frac0.84F(b/pmb24ac)2a⇒0.7F+0.14F = /frac{0.84F(−b /pm b^2-4ac)}{2a}
Single pass conversion
..
0.2631=26.31/%0.2631 = 26.31/\%
Hence, the correct option is (C).

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