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The average speed can be calculated by integrating the Maxwell-Boltzmann distribution
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from 0 to infinity and dividing by the total number of molecules. The result is::
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| v_avg = √(8RT/πM) |
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The most probable speed is the speed at which the Maxwell-Boltzmann distribution
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is at its maximum. This can be found by differentiating the Maxwell-Boltzmann
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distribution with respect to ``v`` and setting the result equal to zero. The result is::
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| v_mp = √(2RT/M) |
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The root-mean-square speed is another measure of the average speed
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of the molecules in a gas. It is calculated by taking the square root
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of the average of the squares of the speeds of the molecules. The result is::
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| v_rms = √(3RT/M) |
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Here we have defined functions to calculate the average and
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most probable speeds of molecules in a gas given the
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