One way to decide whether Maxwell-Boltzmann statisticsare valid is to compare the de
Chapter 9, Problem 18(choose chapter or problem)
One way to decide whether Maxwell-Boltzmann statisticsare valid is to compare the de Broglie wavelength of a typical particle with the average interparticlespacing d. If l V d then Maxwell-Boltzmann statisticsare generally acceptable. (a) Using de Broglies relationl h/p, show thatl h13mkT21/2 (b) Use the fact that N/V 1/d 3 to show that the inequalityl V d can be expressed asNVh313mkT23/2 V 1 (c) Use the result of (b) to determine whether MaxwellBoltzmannstatistics are valid for Ar gas at room temperature(293 K) and for the conduction electrons inpure silver at T 293 K.
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