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Page 1: Stoichiometry Problem - The Labbe Lab · Stoichiometry Problem Tuesday, September 5, 2017 11:56 AM A small, low-emission, stationary gas turbine engine operates at full load (3950

Asmall,low-emission, stationarygasturbineengineoperates atfullload(3950kW)atanequivalence ratioof0.286withanairflowrate of15.9kg/s.Theequivalentcompositionofthefuel(naturalgas)isC1.16H4.32.Determine thefuelmassflowrateandtheoperatingair-fuelratiofortheengine.

StoichiometryProblemTuesday, September 5,2017 11:56AM

Asmall,low-emission, stationarygasturbineengineoperates atfullload(3950kW)atanequivalence ratioof0.286withanairflowrate of15.9kg/s.Theequivalentcompositionofthefuel(naturalgas)isC1.16H4.32.Determine thefuelmassflowrateandtheoperatingair-fuelratiofortheengine.

StoichiometryProblemTuesday, September 5,2017 11:56AM

Page 2: Stoichiometry Problem - The Labbe Lab · Stoichiometry Problem Tuesday, September 5, 2017 11:56 AM A small, low-emission, stationary gas turbine engine operates at full load (3950

Asmall,low-emission, stationarygasturbineengineoperates atfullload(3950kW)atanequivalence ratioof0.286withanairflowrate of15.9kg/s.Theequivalentcompositionofthefuel(naturalgas)isC1.16H4.32.Determine thefuelmassflowrateandtheoperatingair-fuelratiofortheengine.

StoichiometryProblemTuesday, September 5,2017 11:56AM

Asmall,low-emission, stationarygasturbineengineoperates atfullload(3950kW)atanequivalence ratioof0.286withanairflowrate of15.9kg/s.Theequivalentcompositionofthefuel(naturalgas)isC1.16H4.32.Determine thefuelmassflowrateandtheoperatingair-fuelratiofortheengine.

StoichiometryProblemTuesday, September 5,2017 11:56AM

Page 3: Stoichiometry Problem - The Labbe Lab · Stoichiometry Problem Tuesday, September 5, 2017 11:56 AM A small, low-emission, stationary gas turbine engine operates at full load (3950

Estimate theconstant-pressure adiabaticflametemperatureforthecombustionofastoichiometricCH4-airmixture.Thepressure is1atmandtheinitialreactant temperature is298K.Assume"completecombustion" (i.e. theproductmixtureonlyconsistsofCO2,H2O,andN2).Assumewecanestimatemixtureenthalpyusingconstantspecificheatsevaluated at1200K.

Species Enthalpy ofFormation@298K(kJ/kmol)

SpecificHeatcp @1200K(kJ/kmol-K)

CH4 -74,831

CO2 -393,546 56.21

H2O -241,845 43.87

N2 0 33.71

O2 0

AdiabaticFlameTemperatureProblemTuesday, September 5,2017 12:48PM

Page 4: Stoichiometry Problem - The Labbe Lab · Stoichiometry Problem Tuesday, September 5, 2017 11:56 AM A small, low-emission, stationary gas turbine engine operates at full load (3950

Estimate theconstant-pressure adiabaticflametemperatureforthecombustionofastoichiometricCH4-airmixture.Thepressure is1atmandtheinitialreactant temperature is298K.Assume"completecombustion" (i.e. theproductmixtureonlyconsistsofCO2,H2O,andN2).Assumewecanestimatemixtureenthalpyusingconstantspecificheatsevaluated at1200K.

Species Enthalpy ofFormation@298K(kJ/kmol)

SpecificHeatcp @1200K(kJ/kmol-K)

CH4 -74,831

CO2 -393,546 56.21

H2O -241,845 43.87

N2 0 33.71

O2 0

AdiabaticFlameTemperatureProblemTuesday, September 5,2017 12:48PM