d. Dr. Crazy wants to do space diving by taking a balloon to the space at the attitude of 12 km. The additional payload will be 100 kg, including his weight and a basket for him to ride on. The mass of balloon is same at 0.1 kg (except Helium inside). Based on isothermal atmosphere assumption, how big the balloon diameter needs to be to reach 12 km?

Principles of Physics: A Calculus-Based Text
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Chapter17: Energy In Thermal Processes: The First Law Of Thermodynamics
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A sphere balloon with 30 cm in radius is released from the ground, 300 K and 101.325 kPa.
The balloon is charged with Helium at 1 atm (absolute), thus creating buoyant force for
balloon to rise. The radius of the balloon does not change, and the mass of balloon is 0.1
kg, except the mass of Helium inside. The atmosphere can be assumed to be isothermal at
300 K with air (molecular weight = 29 kg/kmol).
Transcribed Image Text:A sphere balloon with 30 cm in radius is released from the ground, 300 K and 101.325 kPa. The balloon is charged with Helium at 1 atm (absolute), thus creating buoyant force for balloon to rise. The radius of the balloon does not change, and the mass of balloon is 0.1 kg, except the mass of Helium inside. The atmosphere can be assumed to be isothermal at 300 K with air (molecular weight = 29 kg/kmol).
d. Dr. Crazy wants to do space diving by taking a balloon to the space at the attitude
of 12 km. The additional payload will be 100 kg, including his weight and a basket
for him to ride on. The mass of balloon is same at 0.1 kg (except Helium inside).
Based on isothermal atmosphere assumption, how big the balloon diameter needs
to be to reach 12 km?
Transcribed Image Text:d. Dr. Crazy wants to do space diving by taking a balloon to the space at the attitude of 12 km. The additional payload will be 100 kg, including his weight and a basket for him to ride on. The mass of balloon is same at 0.1 kg (except Helium inside). Based on isothermal atmosphere assumption, how big the balloon diameter needs to be to reach 12 km?
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