3Energy (EU) Set A Set B Set C2124418113293290161416a) Demonstrate that the sets have the same energy.b) Determine which of the sets is the most probable.c) For the most probable set, is the energy distribution consistent with a Boltzmann distribution?Explain your answer.

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Answered: 3 Energy (EU) Set A Set B Set C 2 1 2 4…

Physical Chemistry

2nd Edition

ISBN:9781133958437

Author:Ball, David W. (david Warren), BAER, Tomas

Publisher:Ball, David W. (david Warren), BAER, Tomas

Chapter17: Statistical Thermodynamics: Introduction

Section: Chapter Questions

Problem 17.17E

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Arrange the following energies in order of increasing magnitude: a) the typical energy of a covalent single bond; b) the mean molecular translational energy for a gas at room temperature; c) the mean rotational energy of a diatomic molecule at room temperature; d) the vibrational energy for a diatomic molecule at room temperature; e) the ionization energy of H. Justify your order.
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Energy A sample consisting of 4 molecules has a total energy of 6 EU. There are four possible energy states corresponding to 0 EU, 1 EU, 2 EU and 3 EU, which is illustrated by the following figure. E = 3 EU E = 2 EU E = 1 EU E = 0 EU a) Determine all possible configurations, and determine the weight and probability of each configuration. b) Which configuration(s) is (are) most probable? c) Which configuration(s) is least probable?
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A). A molecule can have various types of energies (translational, rotational, vibrational, and electronic), the sum of which is the molecule's total energy. ?trans=(?^2?+?^2?+?^2?)(ℎ^2/8??^2/3) ?rot=?(?+1)ℎ^2/8?2? ?vib=(?+1/2)(ℎ?) In the equations, ??, ??, ??, ?, and ? are quantum numbers, ℎ is Planck's constant, ? is the mass of the molecule, ? is the volume of the container, ? is the moment of inertia of the molecule, and ? is the fundamental vibration frequency. For carbon monoxide, CO , the moment of inertia is ?=1.45×10−46 kg⋅m2, and the fundamental vibration frequency is ?=2130 cm−1. Let ?=12.8, and let all the quantum numbers be equal to 11 . Calculate the translational, rotational, and vibrational energies per mole of CO for these conditions. ?trans= J/mol ?rot= J/mol ?vib= J/mol B). If the electronic energy of CO is 9.14 eV per molecule, calculate the total energy of CO per mole. ?total= J/mol C). Which types of energy are…

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3 Energy (EU) Set A Set B Set C 2 1 2 4 4 1 8 11 329 3 2 9 0 16 14 16 a) Demonstrate that the sets have the same energy. b) Determine which of the sets is the most probable. c) For the most probable set, is the energy distribution consistent with a Boltzmann distribution? Explain your answer.