4-) Suppose we put a non-relativistic free particle inside a cube of side V = L³ length L and volume Er a-) Each quantum state r of this particle has an energy corresponding to the kinetic energy of the cube, depending on the volume V. What happens to Er (V)? b-) In terms of and V, find the contribution of a particle in this state der Pr to the gas pressure - c-) Using this result, show that the average pressure P of any ideal gas P = 2E 3 V for composed of non-interacting particles will be given with all, whether the gas conforms to classical, Fermi-Dirac, and Bose-Einstein E is the average kinetic energy of the gases. statistics. Here

4-) Suppose we put a non-relativistic free particle inside a cube of side V = L³ length L and volume Er a-) Each quantum state r of this particle has an energy corresponding to the kinetic energy of the cube, depending on the volume V. What happens to Er (V)? b-) In terms of and V, find the contribution of a particle in this state der Pr to the gas pressure - c-) Using this result, show that the average pressure P of any ideal gas P = 2E 3 V for composed of non-interacting particles will be given with all, whether the gas conforms to classical, Fermi-Dirac, and Bose-Einstein E is the average kinetic energy of the gases. statistics. Here

Modern Physics

3rd Edition

ISBN:9781111794378

Author:Raymond A. Serway, Clement J. Moses, Curt A. Moyer

Publisher:Raymond A. Serway, Clement J. Moses, Curt A. Moyer

Chapter5: Matter Waves

Section: Chapter Questions

Problem 33P

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