Project ForgeChemical Reaction Engineering
Ideal Reactor Design
GATE 2011
Medium
Reaction P→Q occurs isothermally, first order, in aqueous solution. Feed rate 500 cm³/min, feed concentration of P is 1.5×10⁻⁴ mol/cm³. The reaction is carried out in a 5 litre CSTR. At steady state, 60% conversion is observed. The rate constant (in min⁻¹) is
- A0.06
- 0.15
- C0.21
- D0.28
Explanation
τ=V/Q=5000/500=10 min. CSTR design equation: τ=X/[k(1−X)] ⟹ 10=0.6/(k×0.4) ⟹ k=0.6/(10×0.4)=0.15 min⁻¹.
Source: GATE CH 2011 (2011)
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