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2. Clausius–Clapeyron relation - Wikipedia

   en.wikipedia.org/wiki/Clausius–Clapeyron_relation

   Substituting into the Clapeyron equation =, we can obtain the Clausius–Clapeyron equation [8]: 509 = for low temperatures and pressures, [8]: 509 where is the specific latent heat of the substance. Instead of the specific, corresponding molar values (i.e. L {\\displaystyle L} in kJ/mol and R = 8.31 J/(mol⋅K)) may also be used.

3. Ehrenfest equations - Wikipedia

   en.wikipedia.org/wiki/Ehrenfest_equations

   Ehrenfest equations (named after Paul Ehrenfest) are equations which describe changes in specific heat capacity and derivatives of specific volume in second-order phase transitions. The Clausius–Clapeyron relation does not make sense for second-order phase transitions, [ 1 ] as both specific entropy and specific volume do not change in second ...

4. Antoine equation - Wikipedia

   en.wikipedia.org/wiki/Antoine_equation

   The Antoine equation is a class of semi-empirical correlations describing the relation between vapor pressure and temperature for pure substances. The Antoine equation is derived from the Clausius–Clapeyron relation. The equation was presented in 1888 by the French engineer Louis Charles Antoine (1825–1897). [1]

5. Rudolf Clausius - Wikipedia

   en.wikipedia.org/wiki/Rudolf_Clausius

   In this same work he introduced the concept of 'Mean free path' of a particle. [12] [13] [14] Clausius deduced the Clausius–Clapeyron relation from thermodynamics. This relation, which is a way of characterizing the phase transition between two states of matter such as solid and liquid, had originally been developed in 1834 by Émile Clapeyron.

6. List of scientific equations named after people - Wikipedia

   en.wikipedia.org/wiki/List_of_scientific...

   Clausius–Clapeyron equation: Calculus: Rudolf Clausius and Émile Clapeyron: Clausius–Mossotti equation: Physics: Rudolf Clausius and Ottaviano-Fabrizio Mossotti: Colebrook equation Colebrook–White equation: Fluid dynamics Fluid dynamics: C. F. Colebrook C. F. Colebrook and F. M. White: Competitive Lotka–Volterra equations: Population ...

7. Clausius theorem - Wikipedia

   en.wikipedia.org/wiki/Clausius_theorem

   What is now known as the Clausius theorem was first published in 1862 in Clausius' sixth memoir, "On the Application of the Theorem of the Equivalence of Transformations to Interior Work". Clausius sought to show a proportional relationship between entropy and the energy flow by heating (δQ) into a system. In a system, this heat energy can be ...