GATE 2024 CH – Question 31
Consider the reaction $N_2(g) + 3H_2(g) \rightleftharpoons 2NH_3(g)$ in a continuous flow reactor under steady-state conditions. The component flow rates at the reactor inlet are $F_{N_2}^0 = 100$ mol s$^{-1}$, $F_{H_2}^0 = 300$ mol s$^{-1}$, $F_{inert}^0 = 1$ mol s$^{-1}$. If the fractional conversion of $H_2$ is 0.60, the outlet flow rate of $N_2$, in mol s$^{-1}$, rounded off to the nearest integer, is _________
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Correct answer: 40
Explanation
The $H_2$ reacted is $0.6 \times 300 = 180$ mol/s, which is an extent of reaction $\xi = \frac{180}{3} = 60$ mol/s. The outlet nitrogen is $100 - 60 = 40$ mol/s.