A hot air balloon has a volume of 20 cubic meters. If the air inside is...
A hot air balloon has a volume of 20 cubic meters. If the air inside is at a temperature of 70 degrees C and the outside air has a density of 1.17 kg/cubic meter, how much lift does the balloon generate? Hint: use 29.0 grams/mole of air.
Homework Answers
V = 20 m^3
T = 273 + 70 = 343 K
P V = n R T
(101325) (20) = n (8.314) (343)
n = 710.6 mol
mass of gas inside = 29 x 710.6 = 20.6 x 10^3 grams
= 20.6 kg
Buoyant force, Fb = (20x 1.17)(9.8) = 229.32 N
upward
left by balloon = (229.32) - (20.6 x 9.8)
= 27.44 N .........Ans
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