1) A gas turbine power plant produces a net power output of 100 MW with an overa

Question

1) A gas turbine power plant produces a net power output of 100 MW with an overall thermal efficency of 35%

A) If the heating value of the natural gas fuel is 45000 kj/kg, determine the amount of the natural gas fuel burned in kg per day (24 hours).

B) If the air fuel ratio for the nautral gas combustion processis 17 kg air/kg fuel, determine the mass flow rate of air going through the burner in kg/s. If air is at 1 atm (101.3 kPa) and 300 K, what is the air volume flow rate in m^3/s?

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Explanation / Answer

a) power inout = 100*10^6

energy = 100*10^6^24*60*60*100/34

thus natural gas required = 100*1000000*24*60*60*100/(34*45000000) = 564705.88235294117647 kg

b) amount of air required = 17*564705.88235294117647 k

flow rate = 17*564705.88235294117647/(24*60*60) = 111.111111111 kg/sec

pv = nRT

n= 111.1111111*1000/28.97

p = 101300*9.76923267*10^-6 atms

T = 300 K

v = nRT/p = 111.111/1.044 = 106.42816091954 m^3/sec

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