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31 August, 09:05

What is the average velocity of atoms in 1.00 mol of neon (a monatomic gas) at 465 K? For m, use 0.0202 kg.

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  1. 31 August, 11:56
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    Answer: 757m/s

    Explanation:

    Given the following:

    Mole of neon gas = 1.00 mol

    Temperature = 465k

    Mass = 0.0202kg

    Using the ideal gas equation. For calculating the average kinetic energy molecule:

    0.5 (mv^2) = 3/2 nRt

    Where;

    M = mass, V = volume. R = gas constant (8.31 jK-1 mol-1, t = temperature in Kelvin, n = number of moles

    Plugging our values

    0.5 (0.0202 * v^2) = 3/2 (1 * 8.31 * 465)

    0.0101 v^2 = 5796.225

    v^2 = 5796.225 / 0.0101

    v^2 = 573883.66

    v = √573883.66

    v = 757.55109m/s

    v = 757m/s
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