Question

Methane combusts with air in a furnace according to the reaction $\text{CH}_4 + 2\text{O}_2 \rightarrow \text{CO}_2 + 2\text{H}_2\text{O}$. The heat of reaction $\Delta H_{\text{rxn}}$ is -880 kJ per mol of CH4 and is assumed constant. The furnace is well-insulated, and no side reactions occur. All components behave as ideal gases with a constant molar heat capacity of 44 J mol$^{-1}$ °C$^{-1}$. Air is composed of 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 $X = 1 - 0.1 e^{-2(r-r_s)}$ with $0.9 r_s \leq r \leq 1.1 r_s$, where $r_s$ is the stoichiometric air-to-methane mole ratio. For $r = 1.05 r_s$, the exit flue gas temperature in °C, rounded off to 1 decimal place, is _____.

Answer 1

The correct Answers is:1720.0 or 1730.0 Approx