Sackur-Tetrode constant

Sackur-Tetrode constant (absolute entropy constant) ... 

Sackur-Tetrode constant (absolute entropy constant) 5/2 + n (2Tim kTJhy kTJp ] Tj = 1 K, = 100 kPa SJR -1.1517047(44) 3.8x10- ... 

Show that equations (19.25) and (19.26) for the entropy change of ala ideal monatomic gas at constant pressure and constant temperature, respectively, follow from the Sackur-Tetrode equation (24.13) or (24.14). 

Probably the factor found by Sackur, Tetrode, and Stem will be the more correct nevertheless, our derivation of the constant of integration 1, even though only approximately true, constitutes a step forward, in that it gives us the shape of the complete curves for U and A for the condensation of a mass of gas as equation (142) shows, it brings to our mind the fact that i results from the variation of the energy content or specific heat of the gas. 

Previously, for 2-methyl pentane cracking we have used Eley-Rideal kinetic rate expressions to describe the inhibition and poisoning effects of species in the feed, as well as intermediate and product species. In order to utilise such kinetic expressions values for the adsorption equilibrium constants are required. A method for estimating adsorption equilibrium constants has been proposed that uses an integrated form of van t Hoff equation. The heats of adsorption have been calculated using proton affinities and heats of condensation. The entropy of adsorption has been calculated using the Sackur-Tetrode expression. 

Sackur-Tetrode equation - An equation for the molar entropy of an ideal monatomic gas = Mn(e V/N A ), where R is the molar gas constant, V is the volume, and A/ is Avogadro s number. The constant A is given hy A = h/(2nmkT), where h is Planck s constant, m the atomic mass, k the Boltzmann constant, and T the temperature. 

S= rtfiln(e VlnN/ A ), where A= HI(2iankT) where n is the amount of the gas, ills the gas constant, e is the base of natural logarithms, V is the volume of the system, Af is the Avogadto constant, h is the Planck constant, m is the mass of each atom, fcis the Boltzmann constant, and Tis the thermodynamic temperature. To calculate the molar entropy of the gas both sides are divided by n. The Sackur-Tetrode equation can be used to show that the entropy change AS, when a perfect gas expands isothermally from Vi to Vt, is given by ... 

The Sackur-Tetrode Equation (11.41) also predicts how the entropy changes w ith volume for an ideal gas at constant temperature ... 

Theoretical Calculation of the Integration Constant of the Vapour-pressure Formula.—Equation (103) was obtained almost simultaneously by Sackur and by Tetrode f we... 

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