the ratio of average speed of an O2 molecule To The RMS speed of N2 molecule at the same temperature is
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The Average Speed of the Molecules is given by the Formula,
Vavg. =
Now,
M is the Mass of the Oxygen = 32 g/mole.
Also, Vr.m.s. will be given by the Formula,
Vr.m.s. =
where m is the molar mass of the Nitrogen.
∴ Ratio of the Velocity Average and the Velocity r.m.s. =
=
= √[(8 × 28)/(3 × 32 × 22/7)]
= √(1568/2112)
= 0.86/1
Hope it helps.
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