RMS Velocity of Gas Molecule and Applications

RMS velocity is useful in calculating and estimating effective velocity of a gas molecule.we can find the velocity of the sound in a gas using Newton’s Laplace formula. It can be further modified in terms of the absolute temperature and the relation can be found is shown below.



we can try a small problem on this concept is shown below.

Compare the RMS velocity of gas molecule of the same nature at two different temperatures.We shall always covert the temperature into kelvin  before we solve the problem as shown.




Another Problem

If the temperature of a gas molecule is increased by 44% calculate by what percentage it’s RMS velocity is affected?




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