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Chemical Reaction Engineering
Ideal Reactor Design
GATE 2009
Medium

An isothermal pulse test is conducted on a reactor. The outlet tracer concentration is 0 until t=5min, then constant at 10 mol/m³ from t=5 to t=10min, then 0 again. The mean residence time of the fluid in the reactor (in minutes) is

  • A5.0
  • 7.5
  • C10.0
  • D15.0

Explanation

t̄=∫tC(t)dt/∫C(t)dt over the pulse. ∫[5,10]t×10dt=10×[t²/2] from 5 to 10=10×37.5=375. ∫[5,10]10dt=50. t̄=375/50=7.5 min.

Source: GATE CH 2009 (2009)

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