PHYS CHEM BIOC II
PHYS CHEM BIOC II CHEM 453
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This 3 page Class Notes was uploaded by Carmela Kilback on Wednesday September 9, 2015. The Class Notes belongs to CHEM 453 at University of Washington taught by Gabriele Varani in Fall. Since its upload, it has received 86 views. For similar materials see /class/192549/chem-453-university-of-washington in Chemistry at University of Washington.
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Date Created: 09/09/15
University of Washington Department of Chemistry Chemistry 453 Spring Quarter 2008 Lecture 5 040908 Text Reading Ch 6 p 267269 628634 Summary of lecture 4 Using the basic tenet of statistical thermodynamics mechanical calculations for a gas or any large complex system must be applied statistically we can calculate the average of any quantity that depends on the speed c using the Maxwell Boltmann distribution function for example the average speed and average square speed essentially the kinetic energy lt 6 gt Fcfcdc 0 72m ltc2 gtJczfcdc3k T 0 m We have then used simple arguments on mechanical motion in a gas composed of identical particles to provide expression for properties that describe the random motions of molecules in a gas for example average collision rate mean free path N k T Z1 4 612 10 17 V m E E l Zl dZE dz We have also introduced the analogy between the random motions of Brownian particles and the particles in a gas random walk and introduced a diffusion coefficient as a measure of the distance traveled over time on average by a particle undergoing diffusion Arz Arz 6Dt In one of the homework assignments the diffusion coefficient for a one component gas was introduced as M31153 1 8W 16 16 Jim g nm 3 1 kBT 8d2 m You can see from this expression how the diffusion coef cient depends on molecular properties such as size and molecular weight Today we will formally describe the motion of particles in a gas random walk problem and in the next lecture we will introduce the continuum description of this same motion diffusion we will then be able to relate microscopic properties of the molecules we study size shape solvation etc and how they depend on experimental parameters to the diffusion they undergo Diffusiun We haveLhus far aiplomed equlhbnum thamodynamtcs or stausucal T T r t K the nal sLaLeB are equal A 5 l e RFR An eqwltbrmm constant can be e c de ned that descnbes the composttton othe system K quot A a When this condttton IS not met net tmnsport occurs For aiample1fR gtR net transport ofA tnto B occurs TF umform homogeneous sotutton IS obtmned J Icmscnnlc ViewufDl 39usmn Randumwzlk h cu n mt nun and TVuFrn tttuctutmutt ta DNA tut c munnt t n out t t nnnu an nttcou1d Whl h 15 w mu h hlz th The hne m the gure
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