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Viscosity of Pure Liquids and Solutions

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Submitted By earlielle
Words 4584
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I. INTRODUCTION
Viscosity, η, is the resistance of a fluid to flow. The units of viscosity could be poise, dyne-seccm2, gcm-s, N-sm2 or Pa-s. Determination of the viscosity of a fluid is done by measuring the time of flow of a given volume of (V) of the liquid through a capillary tube under the influence of gravity. There are generally 3 types of viscometers for this capillary flow method–the Ostwald Cannon-Fenske, and the Ubbelohde viscometers. The flow is governed by the Hagen-Poiseulle Equation:
V=r4tπ∆P8ηl (eq. 8.1) where r is the tube radius, l is the tube length, t is time, ∆P is the pressure difference at the tube ends, and η is viscosity.
Since the tubes of the viscometer are open at both ends and with the assumption that the external pressure is the same at both ends, ∆P = ρgh. The equation then becomes η=r4πghρt8Vl (eq. 8.2) When A is defined to be equal to r4πgh8Vl, then we have η=Aρt (eq. 8.3). Since fluid flow is not completely laminar at the entrance and exit regions due to the sliding of one layer relative to another, corrections must be imposed for the tube-end effects in the equation above. Acceleration of the fluid reduces the driving pressure ΔP in the entrance region. In the exit region, the energy from the deceleration of the fluid is dissipated as heat. The whole kinetic energy correction for these two processes is ρV/8πlt. Defining B= V/8πlt, η= Aρt-Bρ/t (eq. 8.4) To determine A and B, ρ and T for liquids at known η should be taken. A plot of η/ρT against 1/t2 will yield a linear graph with A as the y-intercept and (–)B is the slope. ηρt=A-Bt2 (eq. 8.5) The most popular theory on viscous flow on the molecular properties of liquids is Erying’s theory, which is based on the Transition State Theory. η=hNAVme∆G0RT (eq. 8.6) where h is Planck’s constant, NA is Avogadro’s number, Vm is molar volume equal to M/ρ, and ∆G0 is the

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