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P13E.8 Although expressions like (ɛ) = -dlng/dß are useful for formal manipulations in statistical thermodynamics, and for expressing thermodynamic functions in neat formulas, they are sometimes more trouble than they are worth in practical applications. When presented with a table of energy levels, it is often much more convenient to evaluate the following sums directly (the dots simply identify the different functions): g=Le -Bej Be e - Bej (a) Derive expressions for the internal energy, heat capacity, and entropy in terms of these three functions. (b) Apply the technique to the calculation of the electronic contribution to the constant-volume molar heat capacity of magnesium vapour at 5000 K using the following data: Term 's P, 'P, 'P, 's, 1 Degeneracy 1 1 3 5 3 3 vlcm 21 850 21 870 21 911 35 051 41 197

P13E.8 Although expressions like (ɛ) = -dlng/dß are useful for formal manipulations in statistical thermodynamics, and for expressing thermodynamic functions in neat formulas, they are sometimes more trouble than they are worth in practical applications. When presented with a table of energy levels, it is often much more convenient to evaluate the following sums directly (the dots simply identify the different functions): g=Le -Bej Be e - Bej (a) Derive expressions for the internal energy, heat capacity, and entropy in terms of these three functions. (b) Apply the technique to the calculation of the electronic contribution to the constant-volume molar heat capacity of magnesium vapour at 5000 K using the following data: Term 's P, 'P, 'P, 's, 1 Degeneracy 1 1 3 5 3 3 vlcm 21 850 21 870 21 911 35 051 41 197

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P13E.8 Although expressions like (ɛ) = -dlng/dß are useful for formal manipulations in statistical thermodynamics, and for expressing thermodynamic functions in neat formulas, they are sometimes more trouble than they are worth in practical applications. When presented with a table of energy levels, it is often much more convenient to evaluate the following sums directly (the dots simply identify the different functions): g=Le -Bej Be e - Bej
Transcribed Image Text:P13E.8 Although expressions like (ɛ) = -dlng/dß are useful for formal manipulations in statistical thermodynamics, and for expressing thermodynamic functions in neat formulas, they are sometimes more trouble than they are worth in practical applications. When presented with a table of energy levels, it is often much more convenient to evaluate the following sums directly (the dots simply identify the different functions): g=Le -Bej Be e - Bej
(a) Derive expressions for the internal energy, heat capacity, and entropy in terms of these three functions. (b) Apply the technique to the calculation of the electronic contribution to the constant-volume molar heat capacity of magnesium vapour at 5000 K using the following data: Term 's P, 'P, 'P, 's, 1 Degeneracy 1 1 3 5 3 3 vlcm 21 850 21 870 21 911 35 051 41 197
Transcribed Image Text:(a) Derive expressions for the internal energy, heat capacity, and entropy in terms of these three functions. (b) Apply the technique to the calculation of the electronic contribution to the constant-volume molar heat capacity of magnesium vapour at 5000 K using the following data: Term 's P, 'P, 'P, 's, 1 Degeneracy 1 1 3 5 3 3 vlcm 21 850 21 870 21 911 35 051 41 197
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