Callen H.B - Thermodynamics And An Introduction To Thermostatistics · Problem 4.6-1

ALTERNATIVE FORMULATIONS AND LEGENDRE TRANSFORMATIONS

Physics — Statistical Mechanics · refrigerator-coefficient-of-performance

Problem

A temperature of 0.001 K is accessible in low temperature laboratories with moderate effort. If the price of energy purchased from the electric utility company is 15\textcent/kW h what would be the minimum cost of extraction of one watt-hour of heat from a system at 0.001 K? The ``warm reservoir'' is the ambient atmosphere at 300 K. Answer: \$45

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