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VTPR is a group contribution equation of state. [3] This is class of prediction methods combine equations of state (mostly cubic) with activity coefficient models based on group contributions like UNIFAC. [4] The activity coefficient model is used to adapt the equation of state parameters for mixtures by a so-called mixing rule. [5]
The Lorentz rule was proposed by H. A. Lorentz in 1881: [5] = + The Lorentz rule is only analytically correct for hard sphere systems. Intuitively, since , loosely reflect the radii of particle i and j respectively, their averages can be said to be the effective radii between the two particles at which point repulsive interactions become severe.
The Wilke mixing rule is capable of describing the correct viscosity behavior of gas mixtures showing a nonlinear and non-monotonical behavior, or showing a characteristic bump shape, when the viscosity is plotted versus mass density at critical temperature, for mixtures containing molecules of very different sizes.
Mixing rules refer to different approaches that can be used to modify the cubic model in the case of multi-component mixtures. The simplest mixing rule is proposed by van der Waals and is called the van der Waals one fluid (vdW1f) mixing rule. As it can be understood from its name, this mixing rule is only used in case of modelling of a single ...
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PSRK (short for Predictive Soave–Redlich–Kwong) [1] is an estimation method for the calculation of phase equilibria of mixtures of chemical components. The original goal for the development of this method was to enable the estimation of properties of mixtures containing supercritical components.
[1] [9] According to this, the mixing temperature is the weighted arithmetic mean of the temperatures of the two initial components. Richmann's rule of mixing can also be applied in reverse, for example, to the question of the ratio in which quantities of water of given temperatures must be mixed to obtain water of a desired temperature.
Vegard's law assumes that both components A and B in their pure form (i.e., before mixing) have the same crystal structure. Here, a A (1-x) B x is the lattice parameter of the solid solution, a A and a B are the lattice parameters of the pure constituents, and x is the molar fraction of B in the solid solution.