Theoretical Question 2

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Unformatted text preview: Theoretical Question 2 Page 1/3 Theoretical Question 2 Rising Balloon A rubber balloon filled with helium gas goes up high into the sky where the pressure and temperature decrease with height. In the following questions, assume that the shape of the balloon remains spherical regardless of the payload, and neglect the payload volume. Also assume that the temperature of the helium gas inside of the balloon is always the same as that of the ambient air, and treat all gases as ideal gases. The universal gas constant is R =8.31 J/molK and the molar masses of helium and air are H M = 4.00 10 3 kg/mol and A M = 28.9 10 3 kg/mol, respectively. The gravitational acceleration is g = 9.8 m/s 2 . [Part A ] (a) [1.5 points] Let the pressure of the ambient air be P and the temperature be T . The pressure inside of the balloon is higher than that of outside due to the surface tension of the balloon. The balloon contains n moles of helium gas and the pressure inside is P P + . Find the buoyant force ....
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This note was uploaded on 11/08/2011 for the course PHYS 0000 taught by Professor Na during the Spring '11 term at Rensselaer Polytechnic Institute.

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