PHM2213 practical 533576098 PHM 2213 Physical Pharmacy 2 Measurements of Viscosity of Fluids by Using a Capillary Viscometer NOTE Students will be divided into groups. Although experimental work will be carried out in a group, reports shall be submitted individually. Introduction The internal friction of liquids, due to intermolecular attractions, is known as viscosity. In a flowing liquid each layer of molecules exerts a drag on the next, and to cause the liquid to flow, work must be done to push the layers past one another. Newton showed that the applied force, F was proportional to A and to du/dx ; the proportionality constant being the coefficient of viscosity, η, hence, or F/A= η du/dx where F/A is the shearing stress (force/area), du/dx is the strain (rate of shear, velocity gradient). Liquid which obey this equation when flowing are said to give stream-lined or Newtonian flow. Very rapid flow can cause Newtonian to become turbulent flow, in which the energy causing the liquid to flow is no longer used exclusively to slide to planes of molecules over one another, but part is dissipated as eddies and turbulence. Units of Viscosity The normal c.g.s. unit of viscosity is the poise (g.cm -l sec-l) e.g. water at 20ο C = 0.01002 poise = 1.002 centipose. Kinematic viscosity, v, is absolute viscosity divided by density, and the units are stokes and centistokes. For water at 20° v = 0.01004 = 1.004 centistokes. Another term sometimes used is the fluidity, which is the reciprocal of the absolute viscosity. Source: Dr. Tanveer Ahmad Khan Prepared by: Kausar Ahmad Date updated: 23-Dec-2005 Page 1 of 4 PHM2213 practical 533576098 Measurement by a Capillary Viscometer Poiseuille's law can be written …………………………………………… (1) Where V = total volume of liquid (ml) of viscosity η (poise), flowing time ‘t’ (second) under pressure difference ‘P’, down a capillary tube at length ‘l’ (cm) and radius ‘r’ (cm). For a liquid flowing under its own head, we may express the pressure in term of density, ρ, acceleration due to gravity ‘g’ and height ‘h’; remembering ‘V’ was defined per unit time, equation (1) can be rewritten as: P = h ρg …………………………………………………(2) The Ostwald’s viscometer has the form of U-tube with bulbs at A (B) and C, a capillary tube and marks at E and F. Liquid is forced up bulb C to above mark E, and the time taken for the meniscus to fall from E to F noted. Source: Dr. Tanveer Ahmad Khan Prepared by: Kausar Ahmad Date updated: 23-Dec-2005 Page 2 of 4 PHM2213 practical 533576098 If a liquid of known viscosity is compared with another (2) of unknown viscosity, in the same apparatus under identical experimental conditions, then:Known liquid : η1 = K ρ1 t1 Unknown liquid : η2 = K ρ2 t2 η2 = η1 ρ2 t2 ……………………………(3) ρ1 t1 The constant for a particular viscometer need not to be determined. To obtain readily measured flow times, viscometers with narrow capillary tubes are used for liquids of low viscosity, while wider capillary tubes are used in viscometers for high viscosity liquids. Materials 1. 2. 3. 4. Size-C-Ostwald’s viscometer 60% w/w sucrose solution Glycerin Water bath w i t h a thermostat Method Clean and dry a size-C-Ostwald’s viscometer. Set the viscometer upright; using a plumb line in a thermostat set at 37.8ο. Fill the viscometer through tube ‘V ’ with 60% w/w sucrose solution to mark F. After the apparatus has come to temperature, adjust the liquid level exactly to this mark. Slip a short length of clean rubber tubing on to W, and suck until the liquid rises above mark at E. Place the finger on the end of the tube to prevent the liquid level falling while removing the rubber tubing. Allow the liquid level to fall, timing between marks E and F. Repeat until consistent results are obtained. Remove the viscometer from the bath, wash it out, dry it, and repeat the procedure using the sample of glycerin to be tested. Treatment of Results 1. Using the viscosities and densities of 60% w/w sucrose solution given, plot a graph a log viscosity against 1/T (absolute) and determine the viscosity at 37.8οC. Similarly determine the density at this temperature from a graph at ρ against temperature. 2. Calculate the viscosity of the glycerin in centipoises from equation (3). Take ρ237.8 of glycerin solution as 1.142 g / m l . 3. Calculate the kinematic viscosity of the sucrose solution, and the kinematic viscosity of the glycerin solution. Source: Dr. Tanveer Ahmad Khan Prepared by: Kausar Ahmad Date updated: 23-Dec-2005 Page 3 of 4 PHM2213 practical 533576098 Include the following in your report: 1. Why it is essential to have a suitable viscosity in a suspension preparation (refer your answer to the stability and flow ability of the preparation). 2. List four suspensions from B.P. or B.P.C. and name the thickening agent(s) used in the preparations to increase the viscosity of the preparations. 3. Compare the accuracy of the above methods with theoretical viscosity of glycerin at 37.8οC. 4. Comment on the merit and limitation of each method. References 1. E.L. Parrot and W. Saski, Experimental Pharmaceutics, 4th Ed., p. 2055, Burgess Publishing Co, (1977). 2. A.H. Beckett and J.B. Stenlake; Practical Pharmaceutical Chemistry, 2nd Ed. Part Two. p. 24, Athlone Press (1970). 3. Martin, A.N. Physical pharmacy: Physical chemical principles in the pharmaceutical sciences, 4th Ed. 1993. Lippincott Williams & Wilkins. 4. Rabek, J.F. Experimental Methods in Polymer Chemistry, Physical Principles and Applications. P.123-141, 1980. New York: John Wiley and Sons. Source: Dr. Tanveer Ahmad Khan Prepared by: Kausar Ahmad Date updated: 23-Dec-2005 Page 4 of 4