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Q.

Which of the following statement(s) is(are) correct regarding the root mean square speed (Urms) of a molecule in a gas at equilibrium?

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a

εavg at a given temperature does not depend on its molecular mass

b

Urms is inversely proportional to the square root of its molecular mass

c

Urms is doubled when its temperature is increased four times

d

εavgis doubled when its temperature is increased four times

answer is A.

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Detailed Solution

Eav=32RT    Vrms∝1M  Vrms∝T  (absolute temp)Eqv∝T (absolute temp)
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