Clapeyron, Emile

Carnot s prescient pamphlet, apparently distributed only among a small circle of friends, remained unknown in the scientific literature for about a decade. Fortunately, its content and value were recognized by fellow French engineer Emile Clapeyron, who built on its concepts and extended its methods, including, for example, the first graphical PV representation of the Carnot cycle. Clapeyron s 1834 paper was the means by which Carnot s discoveries first became known to William Thomson, who made them the centerpiece of his own later work on thermodynamic theory. 

Figure 6.3. ... let us take any gas whatever at temperature T. Figure resembling the indicator diagram from Emile Clapeyrons 1834 paper. [Reproduced from translation in Eric Mendoza (ed.),... 

In 1834, Emile Clapeyron combined Boyle s and Charles laws into the first statement of the ideal gas law initially formulated as... 

Benoit Paul Emile Clapeyron (1799-1864). French engineer. Clapeyron made contributions to die diermodynamic aspects of steam engines. 

Benoit Paul Emile Clapeyron, bom Feb. 26, 1799, in Paris, France, died Jan. 28, 1864, in Paris, France. 

This equality was derived in 1834 by Benoit Paul Emile Clapeyron (1799-1864) and boiled down to 1 mole in 1874 by Dmitry Ivanovich Mendeleyev (1834-1907). In connection with this it is called Clapeyron - Mendeleyev equation. It describes a model of state of the ideal gas. According to it the values partial pressure and concentrations individual components in underground gas can be tied between themselves equations ... 

Sadi Carnot s most valuable contribution to thermodynamics is Carnot s ideal heat engine operating with Carnot cycle. His works on ideal heat engine provided the foundation for quantitative mathematical formulation of Carnot efficiency based on Carnot s theorem. However, Carnot s research findings were not well known until another scientist Benoit Pierre Emile Clapeyron followed in his footsteps and experimented with the change in pressure and volume of the processes of a cycle and its effect on work done. Clapeyron developed Carnot s idea of the efficiency of... 

The Clapeyron-Clausius equation is named after the French engineer Benoit- Piette-Emile Clapeyron (1799-1864) and Rudolf Clausius. 

In a few loose sheets that escaped the fire, it can be seen that Carnot was beginning to recognize the imperfections in his water analogy and moving toward the idea of heat as motion. He probably would have changed his approach had he lived. As it was, it remained for another adventuresome French civil engineer and graduate of the Polytechnique, Emile Clapeyron, to see the value of Carnot s work and raise it from obscurity. 

One of those who helped to make Carnot s work more widely known was another Frenchman, Benoit-Pierre-Emile Clapeyron (1799-1864). Clapeyron designed steam locomotives for the railways which were being built in France in the 1830s. In 1834 he published an account of Carnot s work which used differential calculus instead of Carnot s verbal treatment. He derived a relationship between the temperature coefficient of the vapour pressure of a liquid (dP/d7) and the latent heat of vaporisation L) ... 

Two years later his work was brought to public attention in a paper written by Emile Clapeyron (page 217), who used indicator diagrams to explain Carnot s ideas. 

At the time of Clapeyron s death, the railroad entrepreneur Emile Pdreire wrote "... 

Jaime Wisniak, Benoit Paul Emile Clapeyron A Short Bibliographical Sketch. Chem. Educator, 5, 83-87 (2000). 

Rudolf Julius Emanuel Clausius (1822-1888), a German physicist and mathematician, was one of the founders of thermodynamics. By his restatement of Carnot s principle, he put the theory of heat on a sounder basis. His most important paper On the mechanical theory of heat (1850) first stated the ideas of the second law of thermodynamics. In 1865, he introduced the concept of entropy. He also contributed to the kinetic theory of gases by including translational, rotational, and vibrational molecular motions, and introduced the mean free path of a particle. Clausius deduced the Clausius-Cla-peyron relation - see Eq. (3.1.45) below - based on thermodynamic considerations. This law on phase transition had originally been developed in 1834 by Emile Clapeyron. 

Benoit Paul Emile Clapeyron (1799-1864) A French engineer and physicist and one of the founders of thermodynamics. In 1843, Clapeyron further developed the idea of a reversible process, already suggested by Carnot, and made a definitive statement of Carnot s principle, which is now known as the second law of thermodynamics. Clapeyron also worked on the characterization of perfect gases, the calculation of the statics of continuous beams, and on phase transitions, Eq. (3.1.45). 

Sadi Carnot s brilliant insight went unnoticed until Emile Clapeyron (1799-1864) came across Carnot s book in 1833. Realizing its importance, he reproduced the main ideas in an article that was published in the Journal de... 

Clapeyron Benoit Pierre Emile (1799-1864) Fr. eng., mathemat. theory of elasticity of solids, found relation between conversion of heat, steam, pressure and volume changes, help construction of locomotives... 

The Clapeyron equation is named after Benoit-Pierre-Emile Clapeyron, 1799-1864, a French engineer who translated Carnot s cycle into the language of calculus. 

The next major step in the development of thermodynamics belongs to Emile Clapeyron. 

First stated by Benoit Paul Emile Clapeyron in 1834, the ideal gas law, an extraordinary and remarkably simple equation that has since guided understanding of gas thermodynamics, was originally derived empirically. With statistical thermodynamics the ideal gas law is derived theoretically from simple first principles and statistical arguments. 

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