Hot air balloons make use of Archimedes' principle, and are the oldest flying machines. They make use of the fact that the density of air depends on the temperature in such a way that p68° F = 1.2 and p250° F = 0.9. If a hot air balloon has a total volume of 3,000 m³, how much weight can it support if the air outside is 68°F and the air inside the balloon is 250°F? kg
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