We consider the thermodynamics of adsorption of gases in porous solids from both the perspective of absolute properties which appear naturally in theoretical studies and that of excess properties which are measured in experiments. Our thermodynamic description starts by treating the gas (or gas mixture) plus porous solid system as a mixture to which we can apply solution thermodynamics. We show...

We describe a powerful method for determining the equation of state of an ultracold gas from in situ images. The method provides a measurement of the local pressure of an harmonically trapped gas and we give several applications to Bose and Fermi gases. We obtain the grand-canonical equation of state of a spin-balanced Fermi gas with resonant interactions as a function of temperature [1]. We co...

A new simple model is introduced for a liquid and an equation of state is derived based on this model and the statistical mechanical calculations. This equation of state works well for the non-polar and slightly polar liquids. The important conclusion that may be deduced from this equation of state is that if the reduced variables of state are chosen and defined appropriately, then, the pri...

1 One-dimensional Unsteady Inviscid Flows We consider now the problem of unsteady flow in one-dimension under the inviscid assumption. We have a rigid tube with cross-sectional area A(x), and we assume that all the variables (x-component of velocity u and all the thermodynamic state variables) are functions of x and t only. The governing equations are: A Dρ Dt + ρ ∂(uA) ∂x = 0, (1a) ρ Du Dt + ∂...

In this study, a temperature-dependent of the dispersion coefficients is calculated from equation state.The Lennard-Jones LJ (12-6-3) effective pair potential function and simple thermodynamic argumentwith the input PVT data of liquid metals are used to calculate the dispersion coefficients. The dispersioncoefficients ( , , ) 3 6 12 C C C are found to be a linear function of 1/T1+α , where T is...

In this study, a new crossover sine model (CSM) n was developed from a trigonometric model [M. E. Fisher, S. Zinn, and P. J. Upton, Phys. Rev. B 59, 14533 (1999)]. The trigonometric model is a parametric formulation model that is used to represent the thermodynamic variables near a critical point. Although there are other crossover models based on this trigonometric model, such as the CSM and t...

The thermodynamic equilibrium between charged colloids and an electrolyte reservoir is named after Frederic Donnan who first published on it one century ago (Donnan 1911 Z. Electrochem. 17 572). One of the intriguing features of the Donnan equilibrium is the ensuing osmotic equation of state which is a nonlinear one, even when both colloids and ions obey Van 't Hoff's ideal osmotic pressure law...