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His father was a Protestant pastor and school inspector, [6] and Rudolf studied in the school of his father. In 1838, he went to the Gymnasium in Stettin. Clausius graduated from the University of Berlin in 1844 where he had studied mathematics and physics since 1840 with, among others, Gustav Magnus, Peter Gustav Lejeune Dirichlet, and Jakob ...
William John Macquorn Rankine FRSE FRS (/ ˈ r æ ŋ k ɪ n /; 5 July 1820 – 24 December 1872) was a Scottish mathematician and physicist. He was a founding contributor, with Rudolf Clausius and William Thomson (Lord Kelvin), to the science of thermodynamics , particularly focusing on its First Law.
The science of thermodynamics was developed into its modern form by Sadi Carnot, William Rankine, Rudolf Clausius, William Thomson, James Clerk Maxwell, Ludwig Boltzmann and J. Willard Gibbs. These scientific principles were applied to a variety of industrial concerns, including improving the efficiency of boilers and steam turbines.
William Thomson (later Lord Kelvin) received the works of Joule and Helmholtz positively, embracing them as providing support for the emerging "science of energy." [ 18 ] In the late 1840s to the 1850s, Kelvin, his friend William John Macquorn Rankine , and the German Rudolf Clausius published a steady stream of papers concerning heat engines ...
Rudolf Clausius - originator of the concept of "entropy". In his 1854 memoir, Clausius first develops the concepts of interior work, i.e. that "which the atoms of the body exert upon each other", and exterior work, i.e. that "which arise from foreign influences [to] which the body may be exposed", which may act on a working body of fluid or gas, typically functioning to work a piston.
In 1852, Joule and Thomson demonstrated that a rapidly expanding gas cools, later named the Joule–Thomson effect or Joule–Kelvin effect. [42] Hermann von Helmholtz puts forward the idea of the heat death of the universe in 1854, [ 43 ] the same year that Clausius established the importance of dQ/T ( Clausius's theorem ) (though he did not ...
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 German physicist Rudolf Clausius learned of Carnot's work through Clapeyron's memoir. Clausius corrected Carnot's theory by replacing the conservation of caloric with the work-heat equivalence (i.e., energy conservation). Clausius also put the second law of thermodynamics into mathematical form by defining the concept of entropy.