What is the efficiency of a turbine if the useful work performed by it is equal
What is the efficiency of a turbine if the useful work performed by it is equal to 1400 MJ, and 100 kg of natural gas was burned to produce steam?
Apol = 1400 MJ = 1400 * 10 ^ 6 J.
m = 100 kg.
λ = 4.4 * 10 ^ 7 J / kg.
Efficiency -?
The efficiency of the turbine The efficiency shows what part of the spent work of Azat goes into useful work of Apol, expressed as a percentage.
Efficiency = Apol * 100% / Azat.
The spent work Azat is the work performed by the heat released during the combustion of gas.
Azat = λ * m, where λ is the specific heat of combustion of the gas, m is the mass of the gas that burned out.
Efficiency = Apol * 100% / λ * m.
Efficiency = 1400 * 10 ^ 6 J * 100% / 4.4 * 10 ^ 7 J / kg * 100 kg = 32%.
Answer: The gas turbine has an efficiency of 32%.