Determine cumulants-ratio-standard deviation-average energy

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The total kinetic energy distribution in the gas comprising of N molecules is characterized by following characteristic function: f_Ekin (ω) = 1/ (1- ikTω )^(3N/2) .

Determine the first two cumulants also the ratio between the standard deviation and average energy. Explain why distribution becomes extremely narrow with N →∞.

Reference no: EM13111881

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