Determine the efficiency of a steam turbine if, when performing useful work, equal to 1.408 * 10 ^ 9J

Determine the efficiency of a steam turbine if, when performing useful work, equal to 1.408 * 10 ^ 9J, 100 kg of natural gas were consumed to obtain steam.

Initial data: A (useful work done by the steam turbine) = 1.408 * 10 ^ 9 J; m (consumed mass of natural gas) = 100 kg.

Constants: q (specific heat of combustion of natural gas) = 44 * 10 ^ 6 J / kg.

1) Let’s calculate the energy received by burning natural gas: Q = q * m = 44 * 10 ^ 6 * 100 = 44 * 10 ^ 8 J.

2) Determine the efficiency of the steam turbine: η = A / Q * 100% = (1.408 * 10 ^ 9 / (44 * 10 ^ 8)) * 100% = 0.32 * 100% = 32%.

Answer: The efficiency of the steam turbine is 32%.



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