114. Solving a chemistry problem

114. Solving a chemistry problem

915. Samples of Pyrex glass (trademark of silicate glass), blown in the form of balls and fractionated to a diameter of 1 ... 10 microns, were suspended in a specially selected liquid medium and the viscosity was measured in a capillary viscometer at a constant temperature. The following table shows the obtained values ​​of the relative viscosity n rel as a function of the composition of the suspension (weight of glass beads, m, per 100 g of the dispersion medium).

m, g 0 6.425 9.083 12.576 18.431 21.250
n rel 1 1.209 1.318 1.470 1.749 1.879
The density of the glass is 2.210 g/cm3, the density of the medium is 2.342 g/cm3.
Check if the Einstein equation holds for these suspensions. To do this, build a graph in coordinates (specific viscosity - volume fraction of particles). If the graph turns out to be non-linear, build another one, in coordinates (reduced viscosity - volume fraction), and determine the coefficients of the corresponding equation from it. Answer the question why Einstein´s equation might not hold.

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