Difference between revisions of "Phase equilibrium diagram"
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| − | The projection onto the plane of two arbitrary thermodynamical variables of those regions of the surface of the equilibrium states in the space of the complete family of thermodynamical variables that correspond to | + | {{TEX|done}} |
| + | The projection onto the plane of two arbitrary thermodynamical variables of those regions of the surface of the equilibrium states in the space of the complete family of thermodynamical variables that correspond to $n$-phase states, $n\geq2$, of the thermodynamical system. In the case of a one-component system the regions of this surface are cylindrical surfaces and they project onto the $(p,T)$-plane (pressure-temperature plane) in the form of a curve, the general form of its equation — equality of the chemical potentials of different phases, $\mu_1(p,T)=\mu_2(p,T)$ — can in the case of phase transition of the first kind be written in the form of the Clapeyron–Clausius equation | ||
| − | + | $$\frac{dP}{dT}=\frac{L}{T(v_1-v_2)},$$ | |
| − | where | + | where $L$ is the latent heat of the transition, and $v_1$ and $v_2$ are the specific volumes for the first and the second phases. A three-phase state is represented by a point, called a triple point. |
====References==== | ====References==== | ||
Latest revision as of 17:50, 5 August 2014
The projection onto the plane of two arbitrary thermodynamical variables of those regions of the surface of the equilibrium states in the space of the complete family of thermodynamical variables that correspond to $n$-phase states, $n\geq2$, of the thermodynamical system. In the case of a one-component system the regions of this surface are cylindrical surfaces and they project onto the $(p,T)$-plane (pressure-temperature plane) in the form of a curve, the general form of its equation — equality of the chemical potentials of different phases, $\mu_1(p,T)=\mu_2(p,T)$ — can in the case of phase transition of the first kind be written in the form of the Clapeyron–Clausius equation
$$\frac{dP}{dT}=\frac{L}{T(v_1-v_2)},$$
where $L$ is the latent heat of the transition, and $v_1$ and $v_2$ are the specific volumes for the first and the second phases. A three-phase state is represented by a point, called a triple point.
References
| [1] | R. Kubo, "Thermodynamics" , North-Holland (1968) |
Comments
References
| [a1] | L.D. Landau, E.M. Lifshitz, "Statistical physics" , 1 , Pergamon (1980) (Translated from Russian) |
| [a2] | E. Fermi, "Thermodynamics" , Dover, reprint (1956) |
Phase equilibrium diagram. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Phase_equilibrium_diagram&oldid=32734