Project ForgeChemical Reaction Engineering
Reaction Kinetics
GATE 2015
Hard
A catalyst slab (half-thickness L) runs first-order A→B. At 450K, Thiele modulus=0.5, activation energy=100 kJ/mol (De independent of T, no external resistance). At 470K, the effectiveness factor, rounded to 2 decimal places, is
0.8(± 0.05 accepted)
Explanation
φ∝√k. k(470)/k(450)=exp[−(100000/8.314)(1/470−1/450)]=exp(1.137)=3.117. φ(470)=0.5×√3.117=0.883. η=tanh(0.883)/0.883=0.708/0.883=0.80.
Source: GATE CH 2015 (2015)
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