BENG 103B Chapter Notes - Chapter 24: Boltzmann Constant, Mass Transfer, Quasicrystal
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* = (cid:2869)(cid:2871) u = (cid:2870)(cid:3119)/(cid:3118) (cid:2871) (cid:3119)/(cid:3118) (cid:3250)(cid:3118)(cid:4666)(cid:3038)(cid:3119)(cid:3015)(cid:3014)(cid:3250)(cid:4667)(cid:2869)/(cid:2870) (cid:3038) (cid:2870) (cid:3250)(cid:3118) N = a(cid:448)ogad(cid:396)o"s (cid:374)u(cid:373)(cid:271)e(cid:396) (cid:894)(cid:1010). (cid:1004)(cid:1006)(cid:1006) (cid:454) (cid:1005)(cid:1004)23 molecules/gmole) T = absolute temperature (k) k = boltzmann constant (1. 38 x 10-16 ergs/k) A = lennard-jones molecular diameter of species a. Gas-phase diffusion coefficient inversely proportional to total system pressure and has a power-law dependence on absolute temperature. They decrease as the molecular diameter and molecular weight of either a and/or b increases. Hirschfelder equation: developed for dilute gases consisting of nonpolar, spherical, monatomic molecules. Gas pairs of nonreacting molecules dab =(cid:2868). (cid:2868)(cid:2868)(cid:2869)8(cid:2873)8(cid:3119)/(cid:3118)(cid:4666) (cid:3117)(cid:3250)+ (cid:3117)(cid:3251)(cid:4667)(cid:3117)/(cid:3118) where dab = cm2/s, t = k, ma or mb = g/gmole, p = atm, ab = angstroms, = collision integral. Possible explanations for diffusion of nonelectrolyte solutes in low concentration solutions: (cid:3250)(cid:3251)(cid:3118) (1) eyring hole theory: ideal liquid is treated as a quasi-crystalline lattice model interspersed with holes.
