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GATE 2022 AG – Question 52

Farm Power · Farm Power · 2 marks · Numerical answer

An engine delivers42 kW brake power at 24% brake thermal efficiency using fuel of heating value46.15 MJ/kg and density .845 kg/L. Source calls it B20 and specifies80% biodiesel/20% diesel by volume. Find fuel consumption in L/hour, to two decimals.

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Correct answer: 14.00 to 18.00

Explanation

Fuel energy rate is 42/.24=175 kJ/s. Mass rate=175/46150=.0037920 kg/s. Volume rate is $.0037920(3600)/.845=\mathbf{16.16}$ L/hour. The stated blend definition is opposite the usual B20 naming, but the supplied heating value and density determine this calculation independently.

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