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Methane gas is burned completely with 30% excess air in a furnace operating at one atmosphere....

Methane gas is burned completely with 30% excess air in a furnace operating at one
atmosphere. Both the methane and air enter the furnace at 40ºC saturated with water
vapor.
The flue gas (furnace exhaust) leaves the furnace at 1000ºC. The flue gas then passes
through a heat exchanger and emerges at 60ºC. If 260 mole/sec of methane fed to the
furnace, how much heat is lost from the furnace, and how much heat is transferred in
the heat exchanger?
The reaction occurring in the furnace is:
CH4 + 2 O2 →CO2 + 2 H2O
ΔHr (298) = -802.625 KJ/mol
The specific heat capacity at constant pressure for reaction species are:
CPCH4 : 19.875 J/mol.K : CP O2 = 25.46 J/mol.K : CPN2=28.88 J/mol.K
CPCO2 : 22.248 J/mol.K CPH2O =32.281 J/mol.K

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