Use units as a way to understand problems and to guide the solution of multi-step problems.įit a linear function for a scatter plot that suggests a linear association.Ĭhoose and interpret units consistently in formulas. Solve equations and inequalities in one variable. International Technology and Engineering Educators Association - TechnologyĬonstruct and interpret scatter plots for bivariate measurement data to investigate patterns of association between two quantities. Rearrange formulas to highlight a quantity of interest, using the same reasoning as in solving equations. Use units as a way to understand problems and to guide the solution of multi-step problems choose and interpret units consistently in formulas choose and interpret the scale and the origin in graphs and data displays.įit a function to the data use functions fitted to data to solve problems in the context of the data. Solve linear equations and inequalities in one variable, including equations with coefficients represented by letters. Represent data on two quantitative variables on a scatter plot, and describe how the variables are related. Describe patterns such as clustering, outliers, positive or negative association, linear association, and nonlinear association. If we know the and values for a given polymer solution the intrinsic viscosity and molecular weight can be calculate using the above equation.Construct and interpret scatter plots for bivariate measurement data to investigate patterns of association between two quantities. Where is the intrinsic viscosity, is Molecular weight, and are constants for a particular polymer solvent system. The molecular weight of the polymer solution is very high so the viscosity of polymer solution is very high compared to that of pure solvent.įrom the Mark-Houwink equation the relationship among the molecular weight and viscosity are given below The molecular weight of the polymer is measured by using viscometer and the molecular weight obtained by this technique is called viscosity average molecular weight. The unknown composition can be determined by plotting a graph for the time of flow and compositions. In this method the flow times are measured for different known compositions and a graph is plot for time of flow and compositions. The time of flow of liquid depends on the viscosity and composition. Various mixtures of two non-interacting liquids viscosities will lie among the viscosities of those pure components. And η 1 is the coefficient of viscosity of water.įor a given liquid η has a specific value at the same temperature. Here t 1 and t 2 are the time of flow of the liquids and ρ 1 and ρ 2 are the respective densities. Then the coefficient of viscosity of liquid (η 2) is given by equation In this method viscosity of liquid is measured by comparing the flow times of two liquids of equal volumes using same viscometer.Ĭonsider two liquids are passing through a capillary of same viscometer. The Ostwald method is a simple method for the measurement of viscosity, in which viscosity of liquid is measured by comparing the viscosity of an unknown liquid with that of liquid whose viscosity is known. Many methods are available for measuring viscosity of polymer solution. It is due to the internal friction of molecules and mainly depends on the nature & temperature of the liquid. Viscosity is an internal property of a fluid that offers resistance to flow. Determine the viscosity average molecular weight of a polymer.Determine the absolute viscosity of Polymer solutions of different concentrations.
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