Suppose the second law of thermodynamics is not true and it is possible for heat to flow spontaneously from a cold object to a warmer one. Show that this process would allow one to construct a perpetual motion machine. Hint: Consider a machine that functions in two or more separate steps, with one step being the flow of heat from a cold reservoir to a hot reservoir. Then, in a separate step, energy from the hot reservoir is used in some way.
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