By Daniel V. Schroeder

This article seems to be at thermodynamics and statistical mechanics. half I introduces techniques of thermodynamics and statistical mechanics from a unified view. elements II and III discover additional purposes of classical thermodynamics and statistical mechanics. all through, the emphasis is on real-world purposes.

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What is the rate of heat conduction per square meter in this location? Assuming that this value is typical of other locations over all of earth's surface, at approxi mately what rate is the earth losing heat via conduction? 62. Consider a uniform rod of material whose temperature varies only along its length, in the x direction. x, derive the heat equation, EfT at where K = kt I cp, c is the specific heat of the material, and p is its density. ) Assuming that K is independent of temperature, show that a solution of the heat equation is T(x,t)=To+ ~e-x2/4Kt, where To is a constant background temperature and A is any constant.

5 W Im·K. What is the rate of heat conduction per square meter in this location? Assuming that this value is typical of other locations over all of earth's surface, at approxi mately what rate is the earth losing heat via conduction? 62. Consider a uniform rod of material whose temperature varies only along its length, in the x direction. x, derive the heat equation, EfT at where K = kt I cp, c is the specific heat of the material, and p is its density. ) Assuming that K is independent of temperature, show that a solution of the heat equation is T(x,t)=To+ ~e-x2/4Kt, where To is a constant background temperature and A is any constant.

S. , ThermophysicaJ Properties of Matter (Plenum, New York, 1970). 48) In other words, for each mole of an ideal gas, the heat capacity at constant pressure exceeds the heat capacity at constant volume by R, the gas constant. 6 Heat Capacities additional term in the heat capacity doesn't depend on what the pressure is, so long as it is constant. Apparently, if the pressure is high the gas expands less, in such a way that the work done on the environment is independent of P. 41. To measure the heat capacity of an object, all you usually have to do is put it in thermal contact with another object whose heat capacity you know.