The Sackur-Tetrode equation, equation 17.61 is to be derived. Concept introduction: Statistical thermodynamics is used to describe all possible configurations in a system at given physical quantities such as pressure, temperature and number of particles in the system. An important quantity in thermodynamics is partition function that is represented as, q = ( 2 π m k T h 2 ) 3 / 2 ⋅ V It is used to calculate the state functions like energy, pressure, wavelength etc. of the thermodynamic system. The expressions obtained for state functions using partition functions help to determine the statistical aspect of thermodynamic system.

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Strain Energy for Alkanes Interaction / Compound kJ/mol kcal/mol H: H eclipsing 4.0 1.0 H: CH3 eclipsing 5.8 1.4 CH3 CH3 eclipsing 11.0 2.6 gauche butane 3.8 0.9 cyclopropane 115 27.5 cyclobutane 110 26.3 cyclopentane 26.0 6.2 cycloheptane 26.2 6.3 cyclooctane 40.5 9.7 (Calculate your answer to the nearest 0.1 energy unit, and be sure to specify units, kJ/mol or kcal/mol. The answer is case sensitive.) H. H Previous Next

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Question

Chapter 17, Problem 17.46E

Interpretation Introduction

Interpretation:

The Sackur-Tetrode equation, equation 17.61 is to be derived.

Concept introduction:

Statistical thermodynamics is used to describe all possible configurations in a system at given physical quantities such as pressure, temperature and number of particles in the system. An important quantity in thermodynamics is partition function that is represented as,

q=( 2πmkTh2)3/2⋅V

It is used to calculate the state functions like energy, pressure, wavelength etc. of the thermodynamic system. The expressions obtained for state functions using partition functions help to determine the statistical aspect of thermodynamic system.

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