Hot air balloons float because the air inside an inflatable compartment is heated. Consider such a balloon that has an inflatable compartment of maximum volume 2160 m3 and a basket with passengers of total mass 370 kg. a)  To what temperature, in Celsius degrees, would the air inside the balloon have to be heated in order for the balloon to lift off the ground? Assume the molar mass of air is 28.97 g/mol and its density is 1.20 kg/m3.

Principles of Physics: A Calculus-Based Text
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Chapter16: Temperature And The Kinetic Theory Of Gases
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Problem 29P: The mass of a hot-air balloon and its cargo (not including the air inside) is 200 kg. The air...
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Hot air balloons float because the air inside an inflatable compartment is heated. Consider such a balloon that has an inflatable compartment of maximum volume 2160 m3 and a basket with passengers of total mass 370 kg.

a)  To what temperature, in Celsius degrees, would the air inside the balloon have to be heated in order for the balloon to lift off the ground? Assume the molar mass of air is 28.97 g/mol and its density is 1.20 kg/m3

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