For particles of any shape at an absolute temperature T, Einstein showed that f is related to the experimental diffusion coefficient D by the expression [Pg.110]

The coefficient of dE is the inverse absolute temperature as identified above. We now define the pressure and chemical potential of the system as [Pg.392]

The Boltzmann constant is ks and T the absolute temperature. — is the Dirac delta function. Below we assume for convenience (equation (5)) that the delta function is narrow, but not infinitely narrow. The random force has a zero mean and no correlation in time. For simplicity we further set the friction to be a scalar which is independent of time or coordinates. [Pg.265]

Charles s law At constant pressure the volume of a given mass of gas is directly proportional to the absolute temperature. [Pg.89]

Here G is the free energy and AG the change in free energy during the reaction. R the gas constant and T the absolute temperature. [Pg.66]

The Wien displacement law states that the wavelength of maximum emission, A , of a blackbody varies inversely with absolute temperature the product A T remains constant. When A is expressed in micrometers, the law becomes [Pg.727]

Therefore, the ratio of the number of ions to the number of neutrals desorbing from a heated filament depends not only on the absolute temperature but also on the actual surface coverage of ions and neutrals on the filament (C, C ) and crucially on the difference between the ionization energy and work function terms, I and (j). This effect is explored in greater detail in the following illustrations. [Pg.49]

Stefan s law states that the total energy / radiated by a blackbody per unit time and area (power per unit area) varies as the fourth power of the absolute temperature [Pg.728]

When the density Is sufficiently low that the pressure difference Is proportional to density, then the ratio of the absolute pressures on the two sides of the plate Is equal to the square root of Che ratio of tha absolute temperatures. [Pg.178]

This equation describes the additional amount of gas adsorbed into the pores due to capillary action. In this case, V is the molar volume of the gas, y its surface tension, R the gas constant, T absolute temperature and r the Kelvin radius. The distribution in the sizes of micropores may be detenninated using the Horvath-Kawazoe method [19]. If the sample has both micropores and mesopores, then the J-plot calculation may be used [20]. The J-plot is obtained by plotting the volume adsorbed against the statistical thickness of adsorbate. This thickness is derived from the surface area of a non-porous sample, and the volume of the liquified gas. [Pg.1875]

To prevent this flow, the pressure on the hotter side must be larger than the pressure on the colder side. The required pressure difference depends on the nature of the gas, its mean pressure and absolute temperature, the relation between its density and the pore size, and the temperature difference. However, it does not depend on the thickness of the plate. [Pg.177]

There are an infinite number of other integrating factors X with corresponding fiinctions ( ) the new quantities T and. S are chosen for convenience.. S is, of course, the entropy and T, a fiinction of 0 only, is the absolute temperature , which will turn out to be the ideal-gas temperature, 0jg. The constant C is just a scale factor detennining the size of the degree. [Pg.335]

The Boltzmann equation (Equation 18.2) shows that, under equilibrium conditions, the ratio of the number (n) of ground-state molecules (A ) to those in an excited state (A ) depends on the energy gap E between the states, the Boltzmann constant k (1.38 x 10" J-K" ), and the absolute temperature T(K). [Pg.124]

Equation (1) is of little practical use unless the fuga-cities can be related to the experimentally accessible quantities X, y, T, and P, where x stands for the composition (expressed in mole fraction) of the liquid phase, y for the composition (also expressed in mole fraction) of the vapor phase, T for the absolute temperature, and P for the total pressure, assumed to be the same for both phases. The desired relationship between fugacities and experimentally accessible quantities is facilitated by two auxiliary functions which are given the symbols (f [Pg.14]

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