Solved: The total mass that can be lifted by a balloon is
Chapter , Problem 121(choose chapter or problem)
The total mass that can be lifted by a balloon is given by the differencebetween the mass of air displaced by the balloon and themass of the gas inside the balloon. Consider a hot-air balloonthat approximates a sphere 5.00 m in diameter and contains airheated to 65_C. The surrounding air temperature is 21_C. Thepressure in the balloon is equal to the atmospheric pressure,which is 745 torr.a. What total mass can the balloon lift? Assume that the averagemolar mass of air is 29.0 g/mol. (Hint: Heated air is less densethan cool air.)b. If the balloon is filled with enough helium at 21_C and 745torr to achieve the same volume as in part a, what total masscan the balloon lift?c. What mass could the hot-air balloon in part a lift if it were onthe ground in Denver, Colorado, where a typical atmosphericpressure is 630. torr?
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