Question
Part 1) A person is at the base of a 8280 metre tall mountain (the base is at sea level) holding a balloon. The balloor
Part 1)\ A person is at the base of a 8280 metre tall mountain (the base is at sea level) holding a balloon. The balloor\ has a volume of
0.8300m^(3)
at the base of the mountain, where the atmospheric pressure is
101.7kPa
and\ the temperature is
29.00\\\\deg C
. The person takes the balloon to the top of the mountain, where the ambient\ temperature is
11.00\\\\deg C
and the atmospheric pressure is
101.0kPa
.\ What is the volume of the balloon at the top of the mountain?\
V=,m^(3)
\ Part 2)\ What is the gravitational force of attraction between the air inside the balloon and the Earth, from the top of\ the mountain? You may assume the molar mass of air is
28.97(g)/(m)ol
and the ideal gas constant to be\
R=8.314(J)/(kgmol)
.\
F=,N
\ Part 3)\ Imagine a hot air balloon of fixed volume, that has an opening that allows air to flow in and out from the\ bottom (like a regular hot-air balloon!)\ As the air in the balloon is heated, the buoyancy force acting on the balloon\ while the\ weight force of the air
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