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The speed of a molecule in a uniform gas at

The speed of a molecule in a uniform gas at equilibrium is a random variable whose probability density function is given by

where b = m/2kT and k, T, and m denote, respectively, Boltzmann’s constant, the absolute temperature of the gas, and the mass of the molecule. Evaluate a in terms of b.

where b = m/2kT and k, T, and m denote, respectively, Boltzmann’s constant, the absolute temperature of the gas, and the mass of the molecule. Evaluate a in terms of b.

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