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A hot-air balloon stays aloft because hot air at atmospheric pressure is less dense than cool...

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Physics

A hot-air balloon stays aloft because hot air at atmosphericpressure is less dense than cool air at the same pressure. Thevolume of a balloon is V = 1000.0 m3,

and the surrounding air has a temperature T0 which is 10.0degrees C. The density of air at 10.0 degrees C and atmosphericpressure is p0=1.23 kg m-3.

a. What must the temperature T of the air in the balloon be forit to lift a total load of M plus the mass of the hot air? Expressyour answer only in terms of the variables defined above and anyneeded physical constants.

b. If this happens when T = 80.2â—¦C, what is the mass M inkilograms?

c. What is the density of the air inside the balloon inkgm−3?

Answer & Explanation Solved by verified expert
4.4 Ratings (882 Votes)
The volume V of the hot air ballon is V 1000 m3The surrounding temp T 100 deg C The density of air of 100deg C is 123    See Answer
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