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HOUSE_OVERSIGHT_013572

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temperature, T. Thus, one definition of entropy change is dS = dQ/T. In classical contexts, dS is expressed in units of heat called Joules per degree of absolute temperature in units Kelvin, the temperature in Centigrade plus 273.16°. The best- known physical image involves the heat-energy transfer to and from heat baths called reservoirs as intermediate actions of the work of the heat driven engine executing what has come to be known as the Carnot Cycle. The same formulation emerges in this more concrete context: the heat, Q, transfer, dQ, at a particular absolute temperature, T, dQ/T, has been used to define an entropy change, dS = dQ/T related to some not-need-to-know-about specific alteration(s) in a system’s internal physical properties. If one allows some loose thinking about heat-induced increases in the Statistical randomness of molecular motion in the above reservoir that is associated with the loss of useable energy, the positive entropy change, dS > 0, is vaguely relatable to the kinds of information entropies to be discussed below. If a gas trapped in an insulated, physically isolated, closed cylinder is allowed to expand infinitely slowly, reversibly, called adiabatically, pushing up the piston that closed off its end, the gas will become cooler, energy having been expended doing the work of lifting the piston. Defined as an isolated system (of course no where in the real, non- laboratory, world can this condition of absent exchanges of energy or matter with the environment be found), it is a reversible process, because returning the energy of the work by, again, infinitely slowly pushing down on the piston and compressing the gas to its original volume, returns it to its former temperature-defined energy state. In this historically prominent thought-toy of physics, there has been a reversible change in energy but no changes in the entropy, dS = 0. The gas’s heat, temperature (and energy and volume) can be completely restored in this metaphysically myt

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