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Established during the 19th century, the Kelvin-Planck statement of the second law says, "It is impossible for any device that operates on a cycle to receive heat from a single reservoir and produce a net amount of work." This statement was shown to be equivalent to the statement of Clausius.
The Clausius theorem, also known as the Clausius inequality, states that for a thermodynamic system ... Kelvin-Planck statement; Carnot's theorem (thermodynamics)
Clausius restated the two laws of thermodynamics to overcome this contradiction. This paper made him famous among scientists. (The third law was developed by Walther Nernst, during the years 1906–1912). Clausius's most famous statement of the second law of thermodynamics was published in German in 1854, [10] and in English in 1856. [11]
[1] [2] [3] A more fundamental statement was later labelled as the zeroth law after the first three laws had been established. The zeroth law of thermodynamics defines thermal equilibrium and forms a basis for the definition of temperature: if two systems are each in thermal equilibrium with a third system, then they are in thermal equilibrium ...
The first and second laws of thermodynamics emerged simultaneously in the 1850s, primarily out of the works of William Rankine, Rudolf Clausius, and William Thomson (Lord Kelvin). The foundations of statistical thermodynamics were set out by physicists such as James Clerk Maxwell, Ludwig Boltzmann, Max Planck, Rudolf Clausius and J. Willard Gibbs.
The Planck statement applies only to perfect crystalline substances: As temperature falls to zero, the entropy of any pure crystalline substance tends to a universal constant. That is, lim T → 0 S = S 0 {\displaystyle \lim _{T\to 0}S=S_{0}} , where S 0 {\displaystyle S_{0}} is a universal constant that applies for all possible crystals, of ...
For Planck, the primary characteristic of a thermodynamic state of a system that consists of a single phase, in the absence of an externally imposed force field, is spatial homogeneity. [7] For non-equilibrium thermodynamics , a suitable set of identifying state variables includes some macroscopic variables, for example a non-zero spatial ...
The above derivation uses the first and second laws of thermodynamics. The first law of thermodynamics is essentially a definition of heat, i.e. heat is the change in the internal energy of a system that is not caused by a change of the external parameters of the system.