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Chemical Reaction Engineering
Ideal Reactor Design
GATE 2010
Medium

A liquid phase reaction, A→B, is conducted isothermally in a CSTR having a residence time of 2s. The inlet concentration of A is 2 moles/litre, and the outlet concentration is 1 mole/litre. The rate law is −rA=kCA/(K+CA), k=5 moles/litre/s. The value of K, in moles/litre, is

  • A11
  • 9
  • C5
  • D2

Explanation

CSTR design equation: τ=(CA0−CA)/(−rA)=(CA0−CA)(K+CA)/(k·CA). 2=(2−1)(K+1)/(5×1) ⟹ 10=K+1 ⟹ K=9.

Source: GATE CH 2010 (2010)

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