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(80 pts) Entropy of the ideal gas: Consider a monatomic gas of identical non-interacting particles of mass m. The kinetic energy of each particle is given in terms of its momentum p by Ekinp2/(2m). For a given total energy U, volume V and total particle number N (with N » 1) calculate the entropy S(U, V,N)-klog Ω(U, V,N), where Ω(U, V,N) counts the number of different microscopic configurations for given N, U and V. To get a finite number for Ω you need to discretize the allowed position values, assuming that two positions only count as different if they differ by at least Δ. You also will need to discretize momentum by \p How does your final answer depend on Δx and Δp?

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olaulde the -evhcfy s(q.vm) z klog.ค. (uv,s). TDS bilg maximum. 0

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