Define poisson distribution in ideal gas, Physics

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Define Poisson Distribution in Ideal Gas?

Consider a monatomic ideal gas of total Ñ molecules in a volume V˜Show that the probability, P_N for the number N of molecules contained in a small element of V is given by the Poisson distribution.

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Where = ÑV/ V˜ is the average number of molecules found in the volume V.

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