Vilker et al XXXXXXXXXXstudied the osmotic pressure of bovine serum albumin in a 0.15 M sodium chloride solution at pHs of 4.5, 5.4, and 7.4. Their data at a pH of 7.4 is shown in the table below....

Vilker et al. (1981) studied the osmotic pressure of bovine serum albumin in a 0.15 M sodium chloride solution at pHs of 4.5, 5.4, and 7.4. Their data at a pH of 7.4 is shown in the table below. Show that the following semiempirical equation represents these data. The first term on the right-hand side of this equation represents the contribution to the osmotic pressure due to the uneven distribution of the small ions between the solutions on each side of the membrane as a result of the Gibbs-Donnan effect, i.e., see the explanation regarding Equation 2.221. The second term is a virial expansion that accounts for the nonideal behavior of albumin at these relatively high concentrations:

What are the best values of the virial coefficients, i.e., A2 and A3? In this equation, Mp is the albumin molecular weight (69,000 g mol−1), ms is the molar salt concentration, and Cp is the albumin concentration in grams per liter of solution. Z is the charge carried by the albumin molecule in the solution and is equal to the difference between the number of bound protons (H+) and bound chloride ions (Cl−) on each albumin molecule. At a pH of 7.4, Z equals 20.5.

Eq. 2.221