Project ForgeChemical Reaction Engineering
Ideal Reactor Design
GATE 2017
Hard
A→R, (−rA)=0.005CA² mol/m³·hr, isothermal CSTR, V=2m³, inlet flow=0.5 m³/hr, CA0=1000 mol/m³. The fractional conversion, rounded to 2 decimal places, is
0.8(± 0.02 accepted)
Explanation
τ=V/Q=4hr. τ=X/(k·CA0·(1−X)²): 4=X/(5(1−X)²) ⟹ 20(1−X)²=X ⟹ 20X²−41X+20=0 ⟹ X=(41−9)/40=0.8.
Source: GATE CH 2017 (2017)
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