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Chemical Reaction Engineering
Ideal Reactor Design
GATE 2010
Hard

If the same reaction (k=5, K=9) is conducted in a series of two CSTRs with residence times 1s and 0.2s, then the inlet concentration of A, in moles/litre, required to attain an outlet concentration of A of 1 mole/litre, is

  • A2.64
  • B2.00
  • 1.64
  • D0.54

Explanation

Reactor 2 (τ2=0.2s, CA2=1): τ2=(CA1−CA2)(K+CA2)/(k·CA2) ⟹ 0.2=(CA1−1)(10)/5=2(CA1−1) ⟹ CA1=1.1. Reactor 1 (τ1=1s): 1=(CA0−1.1)(9+1.1)/(5×1.1)=(CA0−1.1)(10.1)/5.5 ⟹ CA0−1.1=5.5/10.1=0.545 ⟹ CA0≈1.64.

Source: GATE CH 2010 (2010)

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