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2 August, 13:37

At this pressure, how many molecules of air would there be in a 50? c experimental chamber with a volume of 0.050 m3?

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  1. 2 August, 13:51
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    The pressure is p = 4.0 * 10 ^ - 11 Pa.

    Then, use the ideal gas equation: pV = nRT

    Call #m the number of molecules. #m is n * Avogadro's number, #m = nA = > n = #m/A

    => pV = (#m / A) RT = > #m = pV*A / (RT)

    p = 4.0 * 10 ^ - 11Pa

    V = 0.050m^3

    A = 6.02 * 10^ 23

    R = 8.314 J / (K*mol)

    T = 50 + 273.15 K = 323.15 K

    Now, plug in the numbers:

    #m = 4.0 * 10^ - 11Pa * 0.050 m^3 * 6.02 * 10^ 23 (molec/mol) / (8.314 J / (K*mol) * 323.15K)

    #m = 448,138,552 molecules
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