Calculation of Fourth and Fifth Virial Coefficients and Osmotic Pressure of Low Concentrated Polymer Solutions

With the use of the Flory-Krigbaum interaction potential between the polymer solutes, virial coefficients are calculated up to the fifth order. Both the fourth and fifth virial coefficients can take not only positive values but also negative ones. The osmotic pressure obtained from these virial coefficients is compared with experimental data. In low concentration, calculated results agree with the experimental data quantitatively. The limit of concentration up to which the results agree with the experimental data becomes clear by the calculation of the fourth and fifth virial coefficients.