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        New isotherm regularity and an equation of state for gases and liquids

        Mehdi Baniasadi,Maryam Baniasadi,Sattar Ghader 한국공업화학회 2012 Journal of Industrial and Engineering Chemistry Vol.18 No.1

        In this paper an isotherm regularity has been introduced for gases and liquids based on intermolecular potential energy. The experimental data has been used to demonstrate the validity of the regularity. A non-linearity relationship exists between (Z 1)v3 and r for all isotherms of liquids and gases. The basis for this regularity is intermolecular potential which is a modified Lennard–Jones potential (9, 6, 3) for repulsive, dispersion, dipole–dipole and longer-ranged interactions. The isotherm regularity is equivalent to a virial-like EOS for which the parameters of the isotherm form the corresponding second, third and fourth virial-like coefficients. The equation of state is simple and ready to use. The parameters of equation of state are determined by fitting isothermal regularity to experimental data. The new equation of state provides excellent results in homogenous gas and homogeneous liquids region to very high pressures while its predictions in gas-liquid transition have more deviations. Densities of 1828data points of 21 components have been calculated over the entire range of data with a maximum pressure of 1000 MPa. The average absolute deviation between calculated and experimental densities for gases, liquids and gas-liquid transition region are 0.06%, 0.03% and 0.90%, respectively.

      • KCI등재

        Modifying GMA equation of state for description of (P, ρ, T) relation of gas and liquids over an extended pressure range

        Mehdi Baniasadi,Sattar Ghader,Hassan Hashemipour 한국화학공학회 2011 Korean Journal of Chemical Engineering Vol.28 No.3

        The main concern of this paper is on the improvement of the GMA equation of state (Fluid Phase Equilibr. 230 (2005) 170) which has been used for density calculation of components in liquid region with excellent accuracy. However, the GMA equation of state cannot predict the density of components in either the gas or gas-liquid transition region. The GMA equation of state is based on intermolecular potential energy; therefore, the potential energy of the GMA equation of state is corrected and an equation of state is obtained. The final form of the new equation of state is a regularity between (Z−1)^(v3) and ρ for all temperatures, which is based on modified Lennard-Jones potential (9, 6,3). The capability of the new equation of state is examined by comparing the results with experimental data in homogeneous gas, homogeneous liquid and gas-liquid transition region from low to very high pressures. The new equation of state gives excellent results in homogeneous gas and homogeneous liquid region, while the predictions in the gas-liquid transition have more deviations. The average absolute deviation between calculated and experimental densities for 1979data points of 24 components is 0.25% over the entire range of data with a maximum pressure of 1,000 MPa.

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