Project ForgeChemical Reaction Engineering
Ideal Reactor Design
GATE 2013
Medium
The exit age distribution for a reactor is given by E(t)=δ(t−4), where t is in seconds. A first order liquid phase reaction (k=0.25 s⁻¹) is carried out in this reactor under steady state and isothermal conditions. The mean conversion of the reactant at the exit of the reactor, up to 2 digits after the decimal point, is _____
0.63(± 0.02 accepted)
Explanation
E(t)=δ(t−4) means every fluid element spends EXACTLY 4 seconds in the reactor (an ideal plug-flow-like delay, despite the name). Conversion for a first order reaction at fixed residence time t: X=1−e^(−kt)=1−e^(−0.25×4)=1−e⁻¹=1−0.3679=0.6321.
Source: GATE CH 2013 (2013)
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