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Maxwell relations information


Flow chart showing the paths between the Maxwell relations. is pressure, temperature, volume, entropy, coefficient of thermal expansion, compressibility, heat capacity at constant volume, heat capacity at constant pressure.

Maxwell's relations are a set of equations in thermodynamics which are derivable from the symmetry of second derivatives and from the definitions of the thermodynamic potentials. These relations are named for the nineteenth-century physicist James Clerk Maxwell.

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Maxwell relations

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Maxwell's relations are a set of equations in thermodynamics which are derivable from the symmetry of second derivatives and from the definitions of the...

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Thermodynamic equations

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simple relations. Thus, we use more complex relations such as Maxwell relations, the Clapeyron equation, and the Mayer relation. Maxwell relations in thermodynamics...

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James Clerk Maxwell

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James Clerk Maxwell FRSE FRS (13 June 1831 – 5 November 1879) was a Scottish physicist with broad interests who was responsible for the classical theory...

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Thermodynamic square

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serves as a key to recall the relations they constitute. A mnemonic used by students to remember the Maxwell relations (in thermodynamics) is "Good Physicists...

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Maxwell

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Colombo Maxwell, California Maxwell, Indiana Maxwell, Iowa Maxwell, Nebraska Maxwell, New Mexico Maxwell, Texas Maxwell Air Force Base, Alabama Maxwell Street...

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Table of thermodynamic equations

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fundamental thermodynamic relations or "master equations" are: The four most common Maxwell's relations are: More relations include the following. Other...

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Thermodynamic potential

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y_{j}}}\right)_{\{y_{i\neq j}\}}\right)_{\{y_{i\neq k}\}}} From these we get the Maxwell relations. There will be (D − 1)/2 of them for each potential giving a total...

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Heat capacity

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T}}\right)_{p}} where the final equality follows from the appropriate Maxwell relations, and is commonly used as the definition of the isobaric heat capacity...

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Elisabeth Maxwell

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where the offices to Robert Maxwell's Pergamon Press were also located. In her forties, Maxwell worked in public relations for her husband's company and...

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Laws of thermodynamics

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and ln ⁡ ( 1 ) = 0 {\displaystyle \ln(1)=0} . The Onsager reciprocal relations have been considered the fourth law of thermodynamics. They describe the...

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Ghislaine Maxwell

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Ghislaine Noelle Marion Maxwell (/ˌɡiːˈleɪn, -ˈlɛn/ ghee-LAYN, -⁠LEN; born 25 December 1961) is a British former socialite and convicted sex offender...

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Entropy

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microscopic details of the system. Important examples are the Maxwell relations and the relations between heat capacities. Thermodynamic entropy is central...

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Isochoric process

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Clausius theorem Fundamental relation Ideal gas law Maxwell relations Onsager reciprocal relations Bridgman's equations Table of thermodynamic equations...

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Polytropic process

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Clausius theorem Fundamental relation Ideal gas law Maxwell relations Onsager reciprocal relations Bridgman's equations Table of thermodynamic equations...

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Onsager reciprocal relations

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In thermodynamics, the Onsager reciprocal relations express the equality of certain ratios between flows and forces in thermodynamic systems out of equilibrium...

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Ian Maxwell

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that Maxwell was a director of 31 companies and also worked for Westbourne Communications, a public relations firm which represented Telemonde. Maxwell announced...

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Latent heat

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and their Direct Applications, B.G. Tuebner, Leipzig, pages 9, 20–22. Maxwell, J.C. (1872). Theory of Heat, third edition, Longmans, Green, and Co.,...

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Zeroth law of thermodynamics

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only to heat, and they do not change over time. Another formulation by Maxwell is "All heat is of the same kind". Another statement of the law is "All...

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Branches of physics

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the principle of stationary action in mechanics can be used to derive Maxwell's equations, and vice versa. The theory of special relativity was proposed...

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Quasistatic process

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Clausius theorem Fundamental relation Ideal gas law Maxwell relations Onsager reciprocal relations Bridgman's equations Table of thermodynamic equations...

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Internal pressure

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{\partial S}{\partial V}}\right)_{T}-p} And using one of the Maxwell relations: ( ∂ S ∂ V ) T = ( ∂ p ∂ T ) V   {\displaystyle \left({\frac {\partial...

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Heat capacity ratio

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be determined via relations such as these. See relations between specific heats for the derivation of the thermodynamic relations between the heat capacities...

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Specific heat capacity

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{\displaystyle \rho } is density. A derivation is discussed in the article Relations between specific heats. For an ideal gas, if ρ {\displaystyle \rho } is...

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Temperature

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−273.15 °C, or −459.67 °F. Referring to the Boltzmann constant, to the Maxwell–Boltzmann distribution, and to the Boltzmann statistical mechanical definition...

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Thermodynamic free energy

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constant. In addition, they also have theoretical importance in deriving Maxwell relations. Work other than p dV may be added, e.g., for electrochemical cells...

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Intensive and extensive properties

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{\displaystyle A_{j}} . This last equation can be used to derive thermodynamic relations. A specific property is the intensive property obtained by dividing an...

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Energy

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W.H. Freeman. ISBN 978-0-7167-1088-2. Onsager, L. (1931). "Reciprocal relations in irreversible processes". Phys. Rev. 37 (4): 405–26. Bibcode:1931PhRv...

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Volumetric flow rate

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Clausius theorem Fundamental relation Ideal gas law Maxwell relations Onsager reciprocal relations Bridgman's equations Table of thermodynamic equations...

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