You fill two balloons, A and B, with helium gas at the same temperature and pressure. You notice that balloon B has a larger volume than bal

Question

You fill two balloons, A and B, with helium gas at the same temperature and pressure. You notice that balloon B has a larger volume than balloon A. What must be true about the masses of the gas inside each of the balloons?

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Mít Mít 5 years 2021-07-16T20:54:56+00:00 1 Answers 14 views 0

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  1. minhkhoi
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    2021-07-16T20:56:30+00:00
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    Answer:

    The mass of the gas in balloon A is less than the mass of the gas in balloon B.

    Explanation:

    Here, we note that since the content of the balloons are the same, (helium) and the volume of balloon B is larger than that of balloon A, at the same temperature, then by the combined gas equation, we have

    n = P·V/(R·T)

    Where:

    n = Number of moles of gas = Mass/(Molar Mass)

    P = Pressure

    V = Volume

    T = Temperature

    R = Universal gas constant

    With T and P (Pressure of the surrounding of elastic balloon) being the same, then n is directly proportional to V

    That is if V₁ > V₂ then n₁ > n₂ and the mass of balloon A is less han the mass of balloon B because n is directly proportional to the mass as the molar mass is the same in both balloons.

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