Derive an expression for the most probable energy of an, Mechanical Engineering

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Derive an expression for the most probable energy of an

Question: 1. Derive an expression for the most probable energy of an ideal gas molecule obeying Maxwell-Boltzmann statistics

2. The theoretical expression for the speed of sound in a monatomic ideal gas is given in terms of pressure p and mass density r by (5p/3r)1/2. By what factor does this differ from the root-mean-square speed vrms and the most probable speed v?

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