Using the maxwell's speed distribution formula, find the root-mean-square speed of molecules of an ideal gas at temperature t. show that the r.m.s speed c is √3 /√γ times the speed of sound, where γ is the ratio of two specific heats of gas.
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The Maxwell-Boltzmann equation, which forms the basis of the kinetic theory of gases, defines the distribution of speeds for a gas at a certain temperature. From this distribution function, the most probable speed, the average speed, and the root-mean-square speed can be derived.
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