Clapeyron and Ehrenfest equations and hyperfree energy for partly open systems

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F60461373%3A22310%2F18%3A43915518" target="_blank" >RIV/60461373:22310/18:43915518 - isvavai.cz</a>

Alternative codes found

RIV/60461373:22810/18:43915518

Result on the web

<a href="https://link.springer.com/chapter/10.1007/978-3-319-45899-1_7" target="_blank" >https://link.springer.com/chapter/10.1007/978-3-319-45899-1_7</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1007/978-3-319-45899-1" target="_blank" >10.1007/978-3-319-45899-1</a>

Result language

angličtina

Original language name

Clapeyron and Ehrenfest equations and hyperfree energy for partly open systems

Original language description

Following the approach applied by Clapeyron to describe sharp phase transitions in P-T diagrams of unary systems as well as that used by Ehrenfest for so-called second-order phase transitions, we derived a set of analogous equations for partly open binary and higher-order systems. These systems share one or more components with the surroundings (reservoir), and thus, their content in the system is given by their chemical potentials (activities, a f) in the reservoir. Hence, in addition to P-T diagrams, the phase relations can be represented in T–a f, P–a f, and a f–a g phase diagrams and three additional Clapeyronian equations describe the corresponding borderlines delimiting the different phase fields. Moreover, it is shown that Ehrenfest equations cannot be applied for λ-transitions; however, their applicability is demonstrated for so-called partial phase transitions such as liquidus curves in closed binary systems. For partly open systems, 28 new Ehrenfestian equations are derived for partial phase transitions which involve, apart from the changes of heat capacity, thermal expansion and compressibility appearing in the original three Ehrenfest equations, the changes of newly defined quantities such as thermal, pressure, proper, and mutual plutabilities. The Clapeyronian and Ehrenfestian equations derived in this chapter can be useful for equilibrium studies and construction of thermodynamic models of nonstoichiometric phases as well as for the construction of simple phase diagrams reflecting the equilibrium phase relations under a given controlled atmosphere

Czech name

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Czech description

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Type

C - Chapter in a specialist book

CEP classification

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OECD FORD branch

10403 - Physical chemistry

Project

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Continuities

N - Vyzkumna aktivita podporovana z neverejnych zdroju

Publication year

2018

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Book/collection name

Thermal Physics and Thermal Analysis: From Micro to Macro

ISBN

978-3-319-45899-1

Number of pages of the result

17

Pages from-to

159-175

Number of pages of the book

585

Publisher name

Springer International Publishing Switzerland

Place of publication

Cham

UT code for WoS chapter

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