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13 January, 23:01

Which of the following gases has the highest average molecular velocity at 25 °C? H2O

He

HCl

BrF

NO2

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  1. 13 January, 23:03
    0
    He

    Step-by-step explanation:

    A postulate of the Kinetic Molecular Theory is that at a given temperature, the average kinetic energy of the molecules is directly proportional to the Kelvin temperature.

    KE = ½ mv² ∝ T

    mv² ∝ T Divide each side by T

    v² ∝ T/m

    If T is constant.

    v² ∝ 1/m Take the square root of each side

    v ∝ 1/√m

    This is an inverse relationship, so the molecules with the smallest molecular mass should have the highest average speeds.

    A helium molecule has the smallest mass, so helium has the highest average molecular velocity.
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