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). a. Calculate the mass of Helium inside the balloon and the densities of Helium and air at 101.324 kPa and 300 K by using ideal gas law. b. Calculate the maximum velocity of the balloon during the rise and find out the altitude of maximum velocity. Include a figure showing the changes of acceleration and velocity as a function of altitude. (Hint) a = Vd, where a is the acceleration, V is the velocity, and z is the altitidue. dv dz'

Elements Of Electromagnetics
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Author:Sadiku, Matthew N. O.
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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).
a.
Calculate the mass of Helium inside the balloon and the densities of Helium and air
at 101.324 kPa and 300 K by using ideal gas law.
b. Calculate the maximum velocity of the balloon during the rise and find out the
altitude of maximum velocity. Include a figure showing the changes of acceleration
and velocity as a function of altitude. (Hint) a = VV, where a is the acceleration,
V is the velocity, and z is the altitidue.
dv
dz'
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). a. Calculate the mass of Helium inside the balloon and the densities of Helium and air at 101.324 kPa and 300 K by using ideal gas law. b. Calculate the maximum velocity of the balloon during the rise and find out the altitude of maximum velocity. Include a figure showing the changes of acceleration and velocity as a function of altitude. (Hint) a = VV, where a is the acceleration, V is the velocity, and z is the altitidue. dv dz'
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