Ideal equation of state

T. Ihle, E. Tiizel, and D. M. Kroll, Consistent particle-based algorithm with a non-ideal equation of state, Europhys. Lett. 73, 664 (2006). 

The form of the implied function, fn(T, P), may be analytical if the material is described by a non-ideal equation of state, or it could be empirical such as for steam, for which the properties are expressed as data tabulated in steam tables. 

Other isotherm equations begin as an alternative approach to the developed equation of state for a two-dimensional ideal gas. As mentioned earlier, the ideal equation of state is found to be... 

It is no use trying to apply the ideal equation of state for gases, pV = uRT, to such high pressures. There are empirical equations (the Beatty-Bridgemann equation is one) that allow one to find the number of moles of H2 in a void of known volume at such pressures where the moles present may be as low as 10-12 at the beginning before the crack has spread. 

For a polymer we must write an ideal equation of state for the osmotic pressure in terms of a sum over all the moles of chains of different length, x (Equation 12-7). 

From Eqn 5-3 it is evident that the two properties of a gas basically involved in its performance as a lubricating fluid are its pressure behavior and its viscosity. How they are involved depends on what aspect of gas lubrication is being examined. For most lubrication problems gases are regarded as obeying the ideal equation of state,... 

Sutherland Law Viscosity. Crocco [5] solved equations equivalent to Eqs. 6.37 and 6.38 utilizing the rather accurate Sutherland viscosity relationship and a constant value of Pr other than unity. For a gas that satisfies the ideal equation of state, the quantity C referred to free-stream conditions, becomes... 

Noninteracting point molecules, if they existed, would obey the ideal equation of state ... 

Real gases deviate to various degrees from this ideal equation of state. The deviations become considerable at high pressures and at temperatures near a gas s condensation point. 

Deviations from the ideal equation of state occur when z diverges from the value of 1. The compressibility factor is generally dependent on both temperature and pressure. It has been measured and tabulated for most gases. 

The calculated and experimental shock wave and detonation product/water interface are shown for the gamma-law equation of state in Figure 2.24, the BKW ideal equation of state in Figure 2.25, and in Figure 2.26 the BKW equation of state through the experimental detonation state with the energy returned to the isentrope. 

Many studies have been devoted to the quantification of standard thermodynamic parameters, AG°, A/f°, and AS°, for predictive understanding of factors governing the adsorption at the water-air interface. In the early step of adsorption at the water-air interface, when dealing with diluted surfactant solutions, it can be assumed that molecules will be adsorbed at random, without seeing each other. If there are no interactions between adsorbed molecules, the surface film behaves like a two-dimensional perfect gas, and this ideal surface phase can be described by an ideal equation of state. 

The Boyle-temperature is that point at which the second virial coefficient A2 vanishes, so that second order corrections to the ideal equation of state don not exist. The virial expansion of the van-der-Waals equation is... 

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