The Trebble-Bishnoi Equation of State

We consider the Trebble-Bishnoi EoS for a fluid mixture that consist of Nc components. The equation was given in Chapter 14. 

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Leu and Robinson (1992) reported data for this binary system. The data were obtained at temperatures of 0.0, 50.0, 100.0, 125.0, 133.0 and 150.0 °C. At each temperature the vapor and liquid phase mole fractions of isobutane were measured at different pressures. The data at 133.0 and 150.0 are given in Tables 14.9 and 14.10 respectively. The reader should test if the Peng-Robinson and the Trebble-Bishnoi equations of state are capable of describing the observed phase behaviour. First, each isothermal data set should be examined separately. 

Robinson and the Trebble-Bishnoi equations of state are capable of describing the observed phase behavior. First, each isothermal data set should be examined separately. 

Trebble, M.A. Bishnoi, P.R. Extension of the Trebble-Bishnoi Equation of State to Fluid Mixtures. Fluid Phase Equilibria, 40, 1-21 (1988). 

Formation Conditions in the Presence of Methanol Using the Trebble-Bishnoi Equation of State. The Journal of Canadian Petroleum Technology, 30, 148-155. 

Englezos, P. Huang, Z. Bishnoi, P.R. Prediction of natural gas hydrate formation conditions in the presence of methanol using the Trebble-Bishnoi equation of state. J. Can. Pet. Tech. 1991, 30, 148-154. 

Robinson and the Trebble-Bishnoi equations of state are capable of describing... 

Traditionally, the binary interaction parameters such as the ka, kb, k, ki in the Trebble-Bishnoi EoS have been estimated from the regression of binary vapor-liquid equilibrium (VLE) data. It is assumed that a set of N experiments have been performed and that at each of these experiments, four state variables were measured. These variables are the temperature (T), pressure (P), liquid (x) and vapor (y) phase mole fractions of one of the components. The measurements of these variables are related to the "true" but unknown values of the state variables by the equations given next... 

Englezos, P.. N. Kalogerakis. M.A. Trebble and P.R. Bishnoi, "Estimation of Multiple Binary Interaction Parameters in Equations of State Using VLE Data Application to the Trebble-Bishnoi EOS". Fluid Phase Equilibria, 58, 117-132 (1990a). 

For the Peng-Robinson (18) equation of state, b = c and d = 0. For the Redlich-Kwong-Soave equation of state (see Ref. 19), c = d = 0. For the three-parameter Trebble-Bishnoi-Salim (20) equation of state, d = Vc/3. For the Patel-Teja (21) equation, d = 0. In Eq. (8) the temperature-dependent parameter a T) is expressed as follows ... 

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