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7 June, 09:57

The pressure of air in your house can stay constant during the day if the temperature rises. Let the temperatures be 295 K during the day, and 288 K at night, and volume of the house be 900 m3. Part A Determine the number of moles of air that leave the house during the daytime.

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  1. 7 June, 10:09
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    N = 903.73 moles

    Explanation:

    The pressures are constant so:

    V1/T1 = V2/T2

    During the night, V1 = 900 m^3, and T1 = 288K.

    During the day, T2 = 296K, and V2 = ?

    V2 = V1*T2/T1 = 900*295/288 = 921.875 m^3

    921.875 - 900 = 21.875 m^3

    that leave the house during the daytime

    V2/T2 = Vs/Ts

    Vs = V2*Ts/T2 = 21.875*273/295 = 20.24 m^3

    22.24 liters per mole, and 1000 liters per m^3, so

    N = 20.24*1000/22.4

    N = 903.73 moles.
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