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Chemical Reaction Engineering
Ideal Reactor Design
GATE 2009
Hard

A plug flow reactor of the same volume (as the CSTR above, k=0.4(gmol/liter)^0.5.min⁻¹) is added in series after the existing CSTR (exit concentration 4.0 gmol/liter). The concentration of A (in gmol/liter) at the exit of the plug flow reactor is

  • A0.5
  • 1.0
  • C2.0
  • D2.5

Explanation

PFR design equation for half-order kinetics: integrating dCA/dτ=−k·CA^0.5 gives 2√CA=2√CA,in−kτ. With CA,in=4 (CSTR's exit), τ=5 (same volume as CSTR): 2√CA=2×2−0.4×5=4−2=2 ⟹ √CA=1 ⟹ CA=1.0.

Source: GATE CH 2009 (2009)

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