Clapeyron and Ehrenfest Equations and Hyper-free Energy for Partly Open Systems
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F49777513%3A23640%2F17%3A43950599" target="_blank" >RIV/49777513:23640/17:43950599 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1007/978-3-319-45899-1_7" target="_blank" >http://dx.doi.org/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_7" target="_blank" >10.1007/978-3-319-45899-1_7</a>
Alternative languages
Result language
angličtina
Original language name
Clapeyron and Ehrenfest Equations and Hyper-free 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, af) in the reservoir. Hence, in addition to P-T diagrams, the phase relations can be represented in T–af, P–af, and af–ag 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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Classification
Type
C - Chapter in a specialist book
CEP classification
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OECD FORD branch
20303 - Thermodynamics
Result continuities
Project
<a href="/en/project/LO1402" target="_blank" >LO1402: CENTEM+</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Others
Publication year
2017
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Book/collection name
Thermal Physics and Thermal Analysis
ISBN
978-3-319-45897-7
Number of pages of the result
17
Pages from-to
159-175
Number of pages of the book
567
Publisher name
Springer International Publishing A
Place of publication
Cham, Switzerland
UT code for WoS chapter
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