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Question

Methane gas (CH4)(CH_4) at 25C,25^\circ C, 1 atm and a volumetric flow rate of 27m3/h27 m^3/h enters a heat-treating furnace operating at steady state. The methane burns completely with 140% of theoretical air entering at 127C,127^\circ C, 1 atm. Products of combustion exit at 427C,427^\circ C, 1 atm. Determine a. the volumetric flow rate of the air, in m3/h.m^3/h. b. the rate of heat transfer from the furnace, in kJ/h.

Solution

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Write the balanced chemical equation of CH4CH_4 for complete combustion with theoretical amount of dry air,

CH4+2(O2+3.76N2)CO2+2H2O+7.52N2CH_4+ 2(O_2+3.76N_2)\rightarrow CO_2+2 H_2O+7.52 N_2

( \therefore 3.76 moles of N2N_2 accompany each mole of O2O_2 in the air)

Now write the balanced chemical equation of CH4CH_4 for combustion with 140 %\% of theoretical amount of dry air

CH4+2(1.4)(O2+3.76N2)CO2+2H2O+0.8N2+10.528N2CH_4+ 2(1.4)(O_2+3.76N_2)\rightarrow CO_2+2 H_2O+0.8N_2+10.528 N_2

CH4+2.8(O2+3.76N2)CO2+2H2O+0.8N2+10.528N2CH_4+ 2.8(O_2+3.76N_2)\rightarrow CO_2+2 H_2O+0.8N_2+10.528 N_2

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