Q7 of 100 Page 33

The mean square speed of the molecules of a gas at absolute temperature T is proportional to

Root mean square velocity of gas is given as


vrms =


where R=gas constant whose value is 8.31 J/mol K.


T=temperature of gas.


M= molar mass of molecule of gas


Squaring both side of equation (I) we are removing the square root and


we will get mean square velocity which is,



So, mean square speed is directly proportional to temperature as for a


given gas its molar mass will not change.

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