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Different average speeds can be calculated from the

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Unformatted text preview: L. Boltzmann leads to the prediction that different gas molecules have different speeds (due to collisions) and that the equilibrium state of a gas exhibits an equilibrium distribution of speeds (known as the Maxwell- Boltzmann distribution). Different average speeds can be calculated from the distribution (most- probable speed (cmp), mean or average speed (<c>) and root- mean- square speed (crms)). cmp = (2RT/M)1/2 <c> = (8RT/pM)1/2 <c2>1/2 = crms = (3RT/M)1/2 All show the same qualitative dependence on temperature and molar mass (c ~ (T/M)1/2) and these averages have a very similar magnitude. In problems dealing with kinetic energy, we will be using the root mean square speed, while in problems dealing with mean- free path, collision flux, rate of effusion, viscosity, heat transfer coefficient, gas diffusion, etc… we will be using the mean or av...
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