Abstract
Einstein has shown that the relation between molecular movement and diffusion in a liquid may be expressed by the following equation, when the particles move independently of each other:— D=͞Δ 2 /2 t , (1) D being the diffusion constant and ͞Δ 2 the mean square of the deviation in a given direction in time t . Further, if it be assumed that the particles possess the same mean kinetic energy as gas molecules at the same temperature, the following equation holds ͞Δ = 2RT/N . t /C (2) where R is the gas constant, N Avogadro’s number, T the absolute temperature, and C a constant, which we might call the frictional resistance of the molecule. Hence, D = RT/N .1/C. (3) Under the foregoing assumptions equations (2) and (3) hold equally well for dissolved molecules and particles of greater dimensions.
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Schedule a callMore From: Proceedings of the Royal Society of London. Series A, Containing Papers of a Mathematical and Physical Character
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