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Experiment 21 - Determination of the binary diffusion coefficient in a liquid mixture

Published online by Cambridge University Press:  05 June 2012

William A. Wakeham
Affiliation:
Imperial College, London
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Summary

Principle

The velocity profile in the laminar flow of a fluid through a cylindrical tube is employed to disperse an injected solute. The radial diffusion of the solute in the tube, arising from the radial concentration gradients so created, opposes this dispersion. The combined effect is to produce a solute distribution in the longitudinal direction within the tube that is Gaussian and whose second central moment is related to the mutual diffusion coefficient of the fluid system.

Object

The object of the experiment is the measurement of the mutual diffusion coefficient of a binary liquid mixture. The experiment illustrates how an understanding of fluid mechanics and transport processes can be employed to develop a powerful and simple measurement technique. The aim of the present simple experiment to be described is to determine the diffusion coefficient of the system n-hexane/n-heptane for almost pure n-heptane at 25 °C.

Background

The process of diffusion is the name applied to the relative motion of molecular species in a fluid mixture under the influence of a gradient of concentration, or more completely, of chemical potential. The simplest possible realization of the process is illustrated in Fig. 21.1, where at time t = 0 a concentration difference is established in a binary fluid mixture across an interface at z = 0.

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Publisher: Cambridge University Press
Print publication year: 1994

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