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22 November, 14:30

A room of volume v contains air having equivalent molar mass m. if the temperature of the room is raised from t1 to t2, what mass of air will leave the room

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  1. 22 November, 16:18
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    The ideal gas law is:

    pV = nRT

    where p=pressure, V=volume, n=number of moles, R=gas constant, T=temperature, m=molar mass, M=mass

    Setting up for M1 and M2 using the fact that n = M/m

    pV1 = M1/m x RT1 = = > M1 = PmV1/RT1

    pV2 = M2/m x RT2 = = > M2 = PmV2/RT2

    Since volume doesn't change, V1 = V2 = V

    The question is to find for the mass of air that enters the room, which is M2 - M1

    M2 - M1 = (PmV2/RT2) - (PmV1/RT1)
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