The PRSV equation is a cubic equation of state that can be used to accurately estimate the vapor pressure of a substance by an iterative algorithm. When vapor pressure and phase densities are expressed as power series expansions about the critical point, they can be written as explicit functions of temperature, a more convenient computational strategy. Previous research successfully applied this strategy to the Peng-Robinson (PR) equation but a major hurdle in adapting this work for PRSV was the presence of an additional parameter, κ₁, in the equation. Hence, the PRSV series coefficients contained two parameters instead of the single parameter present in the PR series. An improved method for evaluating the partial derivative expressions used in finding the series coefficients was developed and programmed in Maple® 10 mathematical software. This allowed the series coefficients to be evaluated principally in terms of polynomials in the two parameters. Quantification of truncation error from the series is ongoing.

__________________________________________________________________________________________________________________________ Presentations:
Amy L.Miller and Michael J. Misovich, "Explicit Vapor Pressure Prediction from the PRSV Equation of State", 1st Midwest Conference for Undergraduate Women in Physics, Ann Arbor, Michigan, Jan. 2008.

M.N. Estochen, A.R. Runge, J.L. Lanser, A.L. Miller, M.J. Misovich, "Explicit Computation Methods for Fluid Phase Equilibrium". Michigan Space Grant Consortium Annual Conference, Ann Arbor, Michigan, Oct. 2007 .

Amy L.Miller and Michael J. Misovich, "Explicit Vapor Pressure Prediction from the PRSV Equation of State", Fall Research and Internship Forum, Muskingum College, New Concord, Ohio, Oct. 2007.

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