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 = 28.8×10-3 kg / mol. (pair = 1.293 kg / m3 and PHe = 0.179 kg / m²). The volume of the balloon at a pressure of 1 atm capable of lifting the balloon with a force of 30 N equals 17,404 m³ D. Find the number of moles of helium that the balloon must contain to float with the given conditions

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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. (pair = 1.293 kg / m³ and PHe
= 0.179 kg / m³). The volume of the balloon at a pressure of 1 atm capable of lifting
the balloon with a force of 30 N equals 17,404 m³
D. Find the number of moles of helium that the balloon must contain to float with
the given conditions
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. (pair = 1.293 kg / m³ and PHe = 0.179 kg / m³). The volume of the balloon at a pressure of 1 atm capable of lifting the balloon with a force of 30 N equals 17,404 m³ D. Find the number of moles of helium that the balloon must contain to float with the given conditions
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