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Home / Chemistry Formulas / Formula For Root Mean Square Speed of Gas Molecules
FORMULA FOR ROOT MEAN SQUARE SPEED OF GAS MOLECULES Chemistry Formulas
Root mean Square (Crms) speed : The fraction of molecules having either very high or very low speeds is very small. Majority of molecules have speed near to Crms in the middle of the range of molecular speeds. The total area under the curve in Figure is a measure of total number of molecules in collection. It is denoted by Crms = root square mean value
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Since, rise in temperature raises the kinetic energy of gas molecules, it follows that fractions of molecules having lower speed range decreases and fraction of molecules having higher speed range increases. Also the curve at higher temperature has its umps shifted to higher value but the corresponding fractions of molecules have decreased. Thus in general, the distribution of speeds is wider at higher temperature than at lower temperature as shown in figure (T2 > T1) Distribution of molecular speed also depends upon the mass of gas molecule. At similar temperature, a heavier gas molecule has a narrow distribution of speeds than a lighter gas molecule as shown in the following diagram (MX > MY):
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