2) A hot-air balloon can carry mass about the difference between the mass of air displaced by the balloon and the mass of the gas inside the balloon. A scientist wants to investigate mass lifting using a sphere balloon, 4.00 m in diameter and heated air at 70 °C at Kapadokva. The air temperature and atmospheric pressure at Kapadokya are 25 °C and 755 torr. The pressure in the balloon is also equal to the atmospheric pressure. a. What total mass can the balloon lift? Assume that the average molar mass of air is 29.0 g/mol. (Hint: Heated air is less dense than cool air.) b. If the balloon is filled with enough helium (4.003 g/mol) at 25 °C and 755 torr to achieve the same volume as in part a, what total mass can the balloon lift?

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2) A hot-air balloon can carry mass about the difference between the mass of air
displaced by the balloon and the mass of the gas inside the balloon. A scientist wants
to investigate mass lifting using a sphere balloon, 4.00 m in diameter and heated air
at 70 °C at Kapadokva. The air temperature and atmospheric pressure at Kapadokya
are 25 °C and 755 torr. The pressure in the balloon is also equal to the atmospheric
pressure.
a. What total mass can the balloon lift? Assume that the average molar mass of air is
29.0 g/mol. (Hint: Heated air is less dense than cool air.)
b. If the balloon is filled with enough helium (4.003 g/mol) at 25 °C and 755 torr to
achieve the same volume as in part a, what total mass can the balloon lift?
Transcribed Image Text:2) A hot-air balloon can carry mass about the difference between the mass of air displaced by the balloon and the mass of the gas inside the balloon. A scientist wants to investigate mass lifting using a sphere balloon, 4.00 m in diameter and heated air at 70 °C at Kapadokva. The air temperature and atmospheric pressure at Kapadokya are 25 °C and 755 torr. The pressure in the balloon is also equal to the atmospheric pressure. a. What total mass can the balloon lift? Assume that the average molar mass of air is 29.0 g/mol. (Hint: Heated air is less dense than cool air.) b. If the balloon is filled with enough helium (4.003 g/mol) at 25 °C and 755 torr to achieve the same volume as in part a, what total mass can the balloon lift?
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