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GATE 2023 CH – Question 32

Process Calculations · Steady and unsteady state mass and energy balances · 1 mark · Numerical answer

Burning of methane in a combustor yields carbon monoxide, carbon dioxide, and water vapor. Methane is fed to the combustor at 100 mol hr$^{-1}$, of which 50% reacts. The theoretical oxygen requirement (in mol hr$^{-1}$) is ________ (rounded off to one decimal place).

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Correct answer: 199.00 to 201.00

Explanation

The theoretical oxygen is the amount needed to burn all the methane fed completely to CO₂ and H₂O, whatever the actual conversion or the products: $CH_4 + 2O_2 \to CO_2 + 2H_2O$. So $2 \times 100 = 200.0$ mol/h.