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The Antoine equation is a class of semi-empirical correlations describing the relation between vapor ... This example shows a severe problem caused by using two ...
The Antoine equation [3] [4] is a pragmatic mathematical expression of the relation between the vapor pressure and the temperature of pure liquid or solid substances. It is obtained by curve-fitting and is adapted to the fact that vapor pressure is usually increasing and concave as a function of temperature. The basic form of the equation is:
Examples of modern use of these formulae can additionally be found in NASA's GISS Model-E and Seinfeld and Pandis (2006). The former is an extremely simple Antoine equation, while the latter is a polynomial. [8] In 2018 a new physics-inspired approximation formula was devised and tested by Huang [9] who also reviews other recent attempts.
VLE of the mixture of chloroform and methanol plus NRTL fit and extrapolation to different pressures. The non-random two-liquid model [1] (abbreviated NRTL model) is an activity coefficient model introduced by Renon and Prausnitz in 1968 that correlates the activity coefficients of a compound with its mole fractions in the liquid phase concerned.
The best one can do is derive the August equation, which holds when the specific volume in a substances initial phase is very small compared to its gas phase. If a derivation of the Antoine equation from the Clausius–Clapeyron relation exists, then it would be suitable to provide the derivation on this page.
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.
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Ethyl cyanoacetate is a building block for the synthesis of heterocycles which are used for example as drugs: Allopurinol , used for the treatment of chronic gout, can be synthesized starting with a Knoevenagel condensation with triethyl orthoformate ; the condensation product is cyclized with hydrazine to give a substituted pyrazole and ...