Which gas did Jacques Charles discover could be used as the source of hot air for a hot air balloon's envelope?
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We consider a hot-air balloon of mass 231 kg (basket and envelope). The spherical envelope of the balloon has a diameter of 15 m when fully inflated. To what temperature (in °C) must the enclosed air be heated for the balloon to carry five standard men? Assume the surrounding air is at 20°C and is treated as an ideal gas. Use 29 g/mol for the molar mass of air. (Assume the mass of each standard man is 70 kg.)
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