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?
