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Question

The root mean square speed of gas molecules


A

is the same for all gases at the same temperature

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B

depends on the mass of the gas molecule and its temperature

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C

is independent of the density and pressure of the gas

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D

depends only on the temperature and volume of the gas

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Solution

The correct option is B

depends on the mass of the gas molecule and its temperature


The root mean square speed of the molecules of a gas is given by
Vrms=3KTm
where m is the mass of the molecule of the gas, T is its absolute temperature and K is the Boltzmann's constant. Hence, the correct choice is (b).


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