Debye-Scherer Equation
Describes the osmotic pressure of polymer solutions, dependent on polymer molecular weight, concentration, and solvent properties.
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The statement of the theorem
Consider a polymer solution with concentration (mass/volume) and molecular weight . The osmotic pressure is given by the virial expansion: \begin{equation*} \frac{\pi}{c R T} = \frac{1}{M} + A_2 c + A_3 c^2 + \dots \end{equation*} where is the ideal gas constant and is the absolute temperature. The second virial coefficient quantifies the polymer-solvent interactions and is defined as: \begin{equation*} A_2 = \frac{1}{2 M^2} \left( \frac{V_{2}}{V_{1}} - 2 \right) \end{equation*} Here, and are the interaction volumes between polymer segments and solvent molecules, respectively.
Source: Wikipedia