Discussion
A piston engine burns \( 40 \ \mathrm{L/h} \) of fuel of density \( 0.72 \ \mathrm{kg/L} \). The mass flow is
Answer: C
Correct answer: 28.8 kg/h
Mass flow is volumetric flow multiplied by density:
\[ \dot{m} = 40 \times 0.72 = 28.8\ \mathrm{kg/h} \]
Piston engine fuel flow is often indicated volumetrically, in litres or gallons per hour, so a conversion of this kind is needed to work in mass - which is what mass and balance and range calculations require. Because density falls as fuel warms, the same volume carries less mass on a hot day, which is exactly why turbine installations indicate mass flow directly and avoid the problem.
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