Question

state carnot's theorem and prove it from the kelvin statement of second law of thermodynamics ​

Answer 1

The Kelvin–Planck statement (or the Heat Engine Statement) of the second law of thermodynamics states that it is impossible to devise a cyclically operating heat engine, the effect of which is to absorb energy in the form of heat from a single thermal reservoir and to deliver an equivalent amount of work.The Carnot efficiency depends only on the temperature of the hot source and the cold sink. Carnot efficiency describes the maximum thermal efficiency that a heat engine can achieve as permitted by the Second Law of Thermodynamics. The law was derived by Sadi Carnot in 1824.The Kelvin-Planck statement is: “it is impossible for any device that operates in a cycle to receive heat from a single reservoir and produce a net amount of work.” Another common statement is the Clausius statement: “It is impossible to construct a device that operates in a cycle and produces no effect other than the ...