TOTAL DIFFERENTIAL
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Revision as of 03:36, 30 June 2008
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<math>(\frac{\partial U}{\partial V})_S=-P</math> <big> . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .</big> (16)<br>
<math>(\frac{\partial U}{\partial V})_S=-P</math> <big> . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .</big> (16)<br>
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At this point must be stated that the above statement of ‘work involving no entropy’ is not qualitative but quantitative. Quantum mechanics demands that any rotating mass, molecule or wheel, brings about its quantum states, resulting in a contribution to entropy. This contribution can be calculated with the result that for rotating macroscopic objects it appears to be absolutely negligible. <br>
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At this point it must be stated that the above statement of ‘work involving no entropy’ is not qualitative but is quantitative. Quantum mechanics demands that any rotating mass, molecule or wheel, brings about its quantum states, resulting in a contribution to entropy. This contribution can be calculated with the result that for rotating macroscopic objects it appears to be absolutely negligible. <br>
Starting with the relations (14), (15) and (16) the properties of total differentials can be used to discuss the Carnot cycle, the heat pump, chemical equilibrium and all other relevant topics of thermodynamics, exactly as is done in all textbooks.
Starting with the relations (14), (15) and (16) the properties of total differentials can be used to discuss the Carnot cycle, the heat pump, chemical equilibrium and all other relevant topics of thermodynamics, exactly as is done in all textbooks.
