The Clausius statement of the second law forbids a cyclic device whose sole effect is transfer of heat from a colder thermal reservoir to a hotter one. The Kelvin-Planck statement of the second law forbids a cyclic device whose sole effect is complete conversion of heat drawn from a single thermal reservoir into work. These are equivalent formulations of the Second law of thermodynamics; an ordinary refrigerator is allowed because supplied work is an additional effect.
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