Chemical Engineering > GATE 2024 > Process Design
Methane combusts with air in a furnace as CH4 + 2O2 → CO2 + 2H2O. The heat of reaction ΔHrxn = −880 kJ per mol CH4 and is assumed to be constant. The furnace is well-insulated and no other side reactions occur. All components behave as ideal gases with a constant molar heat capacity of 44 J mol−1 °C−1. Air may be considered as 20 mol% O2 and 80 mol% N2. The air-fuel mixture enters the furnace at 50 °C. The methane conversion X varies with the air-to-methane mole ratio, r, as X = 1 − 0.1 e−2(r−rs) with 0.9 rs ≤ r ≤ 1.1 rs, where rs is the stoichiometric air-to-methane mole ratio. For r = 1.05 rs, the exit flue gas temperature in °C, rounded off to 1 decimal place, is ______

Correct : 10.0

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methane combustion furnace design chemical engineering GATE Chemical Engineering 2024 air methane reaction flue gas temperature calculation ideal gas law chemical air fuel mixture stoichiometry chemical engineering gate combustion reaction heat flue gas temperature calculation chemical engineering

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