Prove that the root mean square velocity of molecule of gas directly proportional to the square root of absolute temperature of gas.
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The rms velocity is directly proportional to the square root of temperature and inversely proportional to the square root of molar mass. Thus quadrupling the temperature of a given gas doubles the rms velocity of the molecules. ... Pressure is thus directly proportional to temperature, as required by Gay-Lussac's law.
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