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Rudolf Clausius

 
Rudolf Clausius

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Rudolf Clausius



 
 
Rudolf Julius Emanuel Clausius (Born Rudolf Gottlieb , January 2, 1822 – August 24, 1888), was a German
Germany

Germany , officially the Federal Republic of Germany , is a country in Central Europe. It is bordered to the north by the North Sea, Denmark, and the Baltic Sea; to the east by Poland and the Czech Republic; to the south by Austria and Switzerland; and to the west by France, Luxembourg, Belgium, and the Netherlands....
 physicist
Physicist

A physicist is a scientist who studies or practices physics. Physicists study a wide range of physical phenomena in many Physics#Major fields of physics spanning all length scales: from atom particles of which all ordinary matter is made to the behavior of the material Universe as a whole ....
 and mathematician
Mathematician

A mathematician is a person whose primary area of study and/or research is the field of mathematics....
 and is considered one of the central founders of the science of thermodynamics
Thermodynamics

In physics, thermodynamics is the study of the conversion of heat energy into different forms of energy ; different energy conversions into heat energy; and its relation to macroscopic variables such as temperature, pressure, and volume....
. By his restatement of Sadi Carnot
Nicolas Léonard Sadi Carnot

Nicolas L?onard Sadi Carnot was a France physicist and military engineer who, in his 1824 Reflections on the Motive Power of Fire, gave the first successful theoretical account of heat engines, now known as the Carnot cycle, thereby laying the foundations of the second law of thermodynamics....
's principle known as the Carnot cycle
Carnot cycle

The Carnot cycle is a particular thermodynamic cycle, modeled on the hypothetical Carnot heat engine, proposed by Nicolas L?onard Sadi Carnot in 1824 and expanded upon by ?mile Clapeyron in the 1830s and 40s....
, he put the theory of heat
Theory of heat

In the history of science, the theory of heat or mechanical theory of heat was a theory, introduced predominantly in 1824 by the French physicist Nicolas L?onard Sadi Carnot, that heat and mechanical work are equivalent....
 on a truer and sounder basis. His most important paper, On the mechanical theory of heat, published in 1850, first stated the basic ideas of the second law of thermodynamics
Second law of thermodynamics

The second law of thermodynamics is an expression of the universal law of increasing entropy, stating that the entropy of an isolated system which is not in Thermodynamic equilibrium will tend to increase over time, approaching a maximum value at equilibrium....
.






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Rudolf Julius Emanuel Clausius (Born Rudolf Gottlieb , January 2, 1822 – August 24, 1888), was a German
Germany

Germany , officially the Federal Republic of Germany , is a country in Central Europe. It is bordered to the north by the North Sea, Denmark, and the Baltic Sea; to the east by Poland and the Czech Republic; to the south by Austria and Switzerland; and to the west by France, Luxembourg, Belgium, and the Netherlands....
 physicist
Physicist

A physicist is a scientist who studies or practices physics. Physicists study a wide range of physical phenomena in many Physics#Major fields of physics spanning all length scales: from atom particles of which all ordinary matter is made to the behavior of the material Universe as a whole ....
 and mathematician
Mathematician

A mathematician is a person whose primary area of study and/or research is the field of mathematics....
 and is considered one of the central founders of the science of thermodynamics
Thermodynamics

In physics, thermodynamics is the study of the conversion of heat energy into different forms of energy ; different energy conversions into heat energy; and its relation to macroscopic variables such as temperature, pressure, and volume....
. By his restatement of Sadi Carnot
Nicolas Léonard Sadi Carnot

Nicolas L?onard Sadi Carnot was a France physicist and military engineer who, in his 1824 Reflections on the Motive Power of Fire, gave the first successful theoretical account of heat engines, now known as the Carnot cycle, thereby laying the foundations of the second law of thermodynamics....
's principle known as the Carnot cycle
Carnot cycle

The Carnot cycle is a particular thermodynamic cycle, modeled on the hypothetical Carnot heat engine, proposed by Nicolas L?onard Sadi Carnot in 1824 and expanded upon by ?mile Clapeyron in the 1830s and 40s....
, he put the theory of heat
Theory of heat

In the history of science, the theory of heat or mechanical theory of heat was a theory, introduced predominantly in 1824 by the French physicist Nicolas L?onard Sadi Carnot, that heat and mechanical work are equivalent....
 on a truer and sounder basis. His most important paper, On the mechanical theory of heat, published in 1850, first stated the basic ideas of the second law of thermodynamics
Second law of thermodynamics

The second law of thermodynamics is an expression of the universal law of increasing entropy, stating that the entropy of an isolated system which is not in Thermodynamic equilibrium will tend to increase over time, approaching a maximum value at equilibrium....
. In 1865 he introduced the concept of entropy.

Life

Clausius was born in Köslin
Koszalin

Koszalin is the largest city of Farther Pomerania Pomerania in north-western Poland. It is located 15 km south of the Baltic Sea coast. Koszalin is also a county-status city and capital of Koszalin County of West Pomeranian Voivodeship since 1999....
 (now Koszalin) in the Province of Pomerania
Province of Pomerania

The Province of Pomerania was a Provinces of Prussia of the Kingdom of Prussia and the Free State of Prussia from 1815 until 1946. Since then it has been part of Germany and Poland....
. He started his education at the school of his father. After a few years, he went to the Gymnasium
Gymnasium (school)

A gymnasium is a type of school providing secondary education in some parts of Europe, comparable to English Grammar schools in the United Kingdoms or sixth form colleges and U.S....
 in Stettin (now Szczecin). Clausius graduated from the University of Berlin in 1844 where he studied Mathematics and Physics with, among others, Heinrich Magnus
Heinrich Gustav Magnus

Heinrich Gustav Magnus was a Germany chemist and physicist. The Magnus effect was named after him.He was born in Berlin. His father was a wealthy merchant; and of his five brothers one, Eduard Magnus , became a celebrated painter....
, Johann Dirichlet and Jakob Steiner
Jakob Steiner

Jakob Steiner was a Switzerland mathematician.He was born in the village of Utzenstorf, Canton of Bern. At eighteen he became a pupil of Heinrich Pestalozzi, and afterwards studied at Heidelberg....
. He also studied History with Leopold von Ranke
Leopold von Ranke

Leopold von Ranke was a Germany historian of the 19th century, and frequently considered one of the founders of modern source-based history. Ranke set the tone for much of later historical writing, introducing such ideas as reliance on primary sources , an emphasis on narrative history and especially international politics and a commitment...
. During 1847, he got his doctorate from the University of Halle on optical effects in the earth's atmosphere. He then became professor of physics at the Royal Artillery and Engineering School in Berlin and Privatdozent at the Berlin University. In 1855 he became professor at the ETH Zürich, the Swiss Federal Institute of Technology in Zürich
Zürich

Z?rich is the largest city in Switzerland and the capital of the canton of Z?rich. The city is Switzerland's main commercial and cultural centre and sometimes called the Cultural Capital of Switzerland, the political capital of Switzerland being Berne....
, where he stayed until 1867. During that year, he moved to Würzburg
University of Würzburg

The University of W?rzburg is a university in W?rzburg, Germany, founded in 1402. The university is a member of the Coimbra Group....
 and two years later, in 1869 to Bonn
University of Bonn

The University of Bonn is a public research university located in Bonn, Germany. Founded in 1818 the University of Bonn is today one of the leading universities in Germany....
.

In 1870 Clausius organized an ambulance corps in the Franco-Prussian War
Franco-Prussian War

The Franco-Prussian War or Franco-German War, often referred to in France as the 1870 War was a conflict between Second French Empire and Kingdom of Prussia, while Prussia was backed by the North German Confederation, of which it was a member, and the South German states of Grand Duchy of Baden, History of W?rttemberg#The Kingdom...
. He was wounded in battle, leaving him with a lasting disability. He was awarded the Iron Cross
Iron Cross

The Iron Cross was a military decoration of the Kingdom of Prussia, and later of Germany, which was established by King Frederick William III of Prussia and first awarded on 10 March 1813 in Breslau ....
 for his services.

His wife, Adelheid Rimpham, died in childbirth in 1875, leaving him to raise their six children. He continued to teach, but had less time for research thereafter. Clausius died in Bonn
Bonn

Bonn is the 19th largest city in Germany. Located about 20 kilometres south of Cologne on the river Rhine in the Federal State of North Rhine-Westphalia, it was the Capital of Germany West Germany from 1949 to 1990 and the official seat of government of united Germany from 1990 to 1999....
.

Work

Clausius' PhD thesis concerning the refraction of light proposed that we see a blue sky during the day, and various shades of red at sunrise and sunset (among other phenomena) due to reflection and refraction of light. Later, Lord Rayleigh would show that it was in fact due to the scattering of light, but regardless, Clausius used a far more mathematical approach than his predecessors.

His most famous paper, "Über die bewegende Kraft der Wärme" ("On the Moving Force of Heat and the Laws of Heat which may be Deduced Therefrom") was published in 1850, and dealt with the mechanical theory of heat. In this paper, he showed that there was a contradiction between Carnot
Nicolas Léonard Sadi Carnot

Nicolas L?onard Sadi Carnot was a France physicist and military engineer who, in his 1824 Reflections on the Motive Power of Fire, gave the first successful theoretical account of heat engines, now known as the Carnot cycle, thereby laying the foundations of the second law of thermodynamics....
's principle and the concept of conservation of energy
Conservation of energy

The law of conservation of energy states that the total amount of energy in an isolated system remains constant. A consequence of this law is that energy cannot be created or destroyed....
. Clausius restated the two laws of thermodynamics
Laws of thermodynamics

The laws of thermodynamics, in principle, describe the specifics for the transport of heat and Work in thermodynamic processes. Since their inception, however, these Physical laws have become some of the most important in all of physics and other branches of science connected to thermodynamics....
 to overcome this contradiction (the third law
Third law of thermodynamics

The third law of thermodynamics is a statistical law of nature regarding entropy and the impossibility of reaching absolute zero of temperature....
 was developed by Walther Nernst
Walther Nernst

Walther Hermann Nernst was a Germany physical chemist who is known for his theories behind the calculation of chemical affinity as embodied in the third law of thermodynamics, for which he won the 1920 Nobel Prize in chemistry....
, during the years 1906–1912). This paper made him famous among scientists.

During 1857, Clausius contributed to the field of kinetic theory
Kinetic theory

Kinetic theory attempts to explain macroscopic properties of gases, such as pressure, temperature, or volume, by considering their molecule composition and motion ....
 after refining August Krönig's very simple gas-kinetic model to include translational, rotational and vibrational molecular motions. In this same work he introduced the concept of 'Mean free path
Mean free path

In physics the mean free path of a particle is the average distance covered by a particle between subsequent impacts....
' of a particle.

Clausius deduced the Clausius-Clapeyron relation
Clausius-Clapeyron relation

The Clausius-Clapeyron relation, named after Rudolf Clausius and ?mile Clapeyron, who defined it sometime after 1834, is a way of characterizing the phase transition between two phases of matter, such as solid and liquid....
 from thermodynamics
Thermodynamics

In physics, thermodynamics is the study of the conversion of heat energy into different forms of energy ; different energy conversions into heat energy; and its relation to macroscopic variables such as temperature, pressure, and volume....
. This relation, which is a way of characterizing the phase transition
Phase transition

In thermodynamics, a phase transition is the transformation of a thermodynamic system from one phase to another.At phase-transition point, physical properties may undergo abrupt change- for instance, volume of the two phases may be vastly different....
 between two states of matter such as solid
Solid

A solid object is in the states of matter characterized by resistance to deformation and changes of volume. In other words, it has high values both of Young's modulus and of shear modulus; this contrasts e.g....
 and liquid
Liquid

Liquid is one of the principal states of matter. A liquid is a fluid that has the particles loose and can freely form a distinct surface at the boundaries of its bulk material....
, had originally been developed in 1834 by Émile Clapeyron.

Entropy

In 1865, Clausius first gave a mathematical version of the concept of entropy
Entropy

In many branches of science, entropy is a measure of the disorder of a system. The concept of entropy is particularly notable as it is applied across physics, information theory and mathematics....
, and gave it its name. He used the now abandoned unit 'Clausius' (symbol: Cl) for entropy. Clausius chose the word "entropy" because the meaning, from Greek, en+tropein, is "content transformative" or "transformation content" ("Verwandlungsinhalt").
1 Cl = 1 cal
Calorie

The calorie is a pre-SI metric system unit of energy. The unit was first defined by Professor Nicolas Cl?ment in 1824 as a unit of heat. This definition entered French and English dictionaries between 1841 and 1867....
/°C = 4.1868 joule
Joule

The joule is the SI derived unit of energy in the International System of Units. It is defined as:One joule is the amount of energy required to perform the following actions:...
s per kelvin
Kelvin

The kelvin is a Units of measurement of temperature and is one of the seven SI base units. The Kelvin scale is a Thermodynamic temperature scale where absolute zero, the theoretical absence of all thermal energy, is zero ....
 (J/K)


Tributes

  • He was elected a Fellow of the Royal Society of London in 1868 and received its Copley Medal
    Copley Medal

    The Copley Medal is an award given by the Royal Society of London for "outstanding achievements in research in any branch of science, and alternates between the physical sciences and the biological sciences"....
     in 1879.
  • He received the Huygens
    Huygens

    Huygens can refer to:* Christiaan Huygens , Dutch mathematician, physicist and astronomer, son of Constantijn Huygens* Huygens-Fresnel_principle ...
     Medal in 1870.
  • He received the Poncelet Prize
    Poncelet Prize

    Poncelet Prize is awarded by the French Academy of Sciences. The prize was established in 1868 by the widow of General Jean-Victor Poncelet for the advancement of the sciences....
     in 1883.
  • He received an honorary doctorate from the University of Würzburg
    Würzburg

    W?rzburg is a city in the region of Franconia which lies in the northern tip of Bavaria, Germany. Located on the Main River, it is the capital of the Regierungsbezirk Unterfranken....
     in 1882.
  • The crater Clausius
    Clausius (crater)

    Clausius is a moon Impact crater that is located in the southwest part of the Moon, in the small lunar mare designated Lacus Excellentiae. It is completely enclosed by mare material, although the tiny satellite crater Clausius A lies just to the north....
     on the Moon
    Moon

    The Moon is Earth's only natural satellite and the List of natural satellites by diameter satellite in the Solar System. The average centre-to-centre distance from the Earth to the Moon is km, about thirty times the diameter of the Earth....
     is named in his honor.


Quotes

The following are two famous quotes made by Clausius in 1865:
The energy
Energy

In physics, energy is a scalar physical quantity that describes the amount of Work_ that can be performed by a force. Energy is an attribute of objects and systems that is subject to a conservation law....
 of the universe
Universe

The universe is defined as everything that physically exists: the entirety of space and time, all forms of matter, energy and momentum, and the physical laws and physical constants that govern them....
 is constant.
The entropy
Entropy

In many branches of science, entropy is a measure of the disorder of a system. The concept of entropy is particularly notable as it is applied across physics, information theory and mathematics....
 of the universe tends to a maximum.


External links

  • in The MacTutor History of Mathematics archive