A helium balloon is used to lift a load of 110 N. The weight of the balloon cover is 50 N and its volume when fully inflated is 32 m³. The temperature of the air is 0° C, and atmospheric pressure is 1 atm. The balloon is inflated with enough helium gas so that the net force on it and its load is 30 N. Neglecting changes in temperature with height. Also, the whole atmosphere has a uniform temperature of 0° C, and a molecular mass M = 28.8×10³ kg / mol. C. Find the volume of the balloon at a pressure of 1 atm capable of lifting the balloon with a force of 30 N. (Pair = 1.293 kg / m³ and PHe = 0.179 kg / m³).

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Chapter1: Units, Trigonometry. And Vectors
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c1) Answer the question shown in the image 

A helium balloon is used to lift a load of 110 N. The weight of the balloon cover
is 50 N and its volume when fully inflated is 32 m³. The temperature of the
air is 0° C, and atmospheric pressure is 1 atm. The balloon is inflated with enough
helium gas so that the net force on it and its load is 30 N. Neglecting changes in
temperature with height. Also, the whole atmosphere has a uniform temperature of
0° C, and a molecular mass M = 28.8×10³ kg / mol.
C. Find the volume of the balloon at a pressure of 1 atm capable of lifting the
balloon with a force of 30 N. (Pair = 1.293 kg / m3 and PHe = 0.179 kg / m³).
Transcribed Image Text:A helium balloon is used to lift a load of 110 N. The weight of the balloon cover is 50 N and its volume when fully inflated is 32 m³. The temperature of the air is 0° C, and atmospheric pressure is 1 atm. The balloon is inflated with enough helium gas so that the net force on it and its load is 30 N. Neglecting changes in temperature with height. Also, the whole atmosphere has a uniform temperature of 0° C, and a molecular mass M = 28.8×10³ kg / mol. C. Find the volume of the balloon at a pressure of 1 atm capable of lifting the balloon with a force of 30 N. (Pair = 1.293 kg / m3 and PHe = 0.179 kg / m³).
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