Chemegate

GATE 2024 Chemical Engineering, Q31 · Reaction Engineering

The correct answer is 40.

Question

Consider the reaction N2(g)+3H2(g)2NH3(g)N₂(g) + 3H₂(g) \rightleftharpoons 2NH₃(g) in a continuous flow reactor under steady-state conditions. The component flow rates at the reactor inlet are F°N2=100F°_{N2} = 100 mol/s, F°H2=300F°_{H2} = 300 mol/s, F°inert=1F°_{inert} = 1 mol/s. If the fractional conversion of H2H₂ is 0.60, the outlet flow rate of N2,N₂, in mol/s, rounded off to the nearest integer, is _________

Official answer: 40

Why

GATE 2024 official key: 40.H240. H₂ reacted =0.60×300=180= 0.60 \times 300 = 180 mol/s; by stoichiometry (1N2(1 N₂ : 3H2),N23 H₂), N₂ reacted = 180/3 = 60 mol/s; N2N₂ outlet = 100 60 = 40 mol/s.

Explanation cross-checked for consistency. Final answer matches the official IIT answer key.