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Chemical Reaction Engineering
Ideal Reactor Design
GATE 2012
Medium

The first order liquid phase reaction A→P is conducted isothermally in a plug flow reactor of 5 liter volume. The inlet volumetric flow rate is 1 liter/min and the inlet concentration of A is 2 mole/liter. If the exit concentration of A is 0.5 mole/liter, then the rate constant, in min⁻¹, is

  • A0.06
  • 0.28
  • C0.42
  • D0.64

Explanation

τ=V/Q=5/1=5 min. PFR design equation for first order: kτ=ln(CA0/CA)=ln(2/0.5)=ln4=1.386. k=1.386/5≈0.28 min⁻¹.

Source: GATE CH 2012 (2012)

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