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What are the proofs of Kelvin-Planck statement?
Kelvin-Planck Statement: – It is impossible to devise a cyclically operating device, which produces no other effect than the extraction of heat from a single thermal reservoir and delivers an equivalent amount of work. Heat engine with single thermal reservoir is not possible.
How is violation of Kelvin-Planck and Clausius statement?
The combined system receives energy (QH-Qc) by heat transfer from a single reservoir, the hot reservoir, and produces an equivalent amount of work. So the combined system violates Kelvin-Planck statement. Thus the violation of the clausius statement implies the violation of Kelvin-Planck statement.
What is equivalence of Second Law of Thermodynamics?
Equivalence of Second Law definitions We defined the Second Law of Thermodynamics as: With no external input, a system will tend toward disorder. No system can be developed which completely converts heat to work.
What is the Clausius statement of second law of thermodynamics?
Clausius Statement from the second law of thermodynamics states that: “It is impossible to design a device which works on a cycle and produce no other effect other than heat transfer from a cold body to a hot body.” That is, heat transfer can only occur spontaneously in the direction of temperature decrease.
What is Clausius inequality statement?
Clausius inequality states that cyclic integral of the the change in entropy of the reversible system is zero.. and for irreversible cycle its value is must less than zero.. The entropy difference between any two states of a system the can be evaluated by the integral of its initial state and final state.
What is Lord Kelvin statement?
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.
What is meant by Kelvin-Planck statement?
What do you mean by Clausius inequality?
The Clausius Inequality applies to any real engine cycle and implies a negative change in entropy on the cycle. That is, the entropy given to the environment during the cycle is larger than the entropy transferred to the engine by heat from the hot reservoir.
Why is the Clausius statement true?
The Clausius theorem provides a quantitative formula for understanding the second law. with 𝛿Q being energy flow into the system due to heating and T being absolute temperature of the body when that energy is absorbed, is found to be true for any process that is cyclical and reversible.
Is Clausius inequality and Clausius theorem same?
The Clausius theorem is a mathematical explanation of the second law of thermodynamics. It was developed by Rudolf Clausius who intended to explain the relationship between the heat flow in a system and the entropy of the system and its surroundings. This relation is the “Clausius inequality”.
Was William Thomson married?
Frances Blandym. 1874–1907
Margaret Crumm. 1852–1870
William Thomson, 1st Baron Kelvin/Spouse