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Applications of Lograrithmic Equations

The viscosity of a liquid is a measure of its resistance to flow. Its value can be found experimentally by putting a quantity of liquid between two moving parallel plates and measuring the friction force on one plate. In such an experiment, values of the coefficient of viscosity of a lubricating oil were found at different temperatures .

20 40 60 80 100

0.0986 0.0241 0.0110 0.0055 0.0036

a) Complete the following table with the appropriate values of μ and T , working to 4 decimal places.


b) It is thought that μ and T are related by an equation of the form μ =AT^m

Take natural logarithms of this equation and hence show how your graph can be used to estimate the values of A and m.


Solution Summary

The Viscosity (μ) of a Liquid is investigated. The solution is detailed and well presented. The response received a rating of "5/5" from the student who originally posted the question.