Osmotic pressure of bovine serum albumin (BSA) has been measured at 298.15 K and various pH values by Vilker, V.L., Colton, C.K., Smith, K.A. 1981. J. Colloid Int. Sci. 79:548, as summarized in the table below. The investigators report the BSA molecular weight in their sample as 69,000.

(a) Regressing all data, determine the second and third osmotic virial coefficients for pH 7.4.

(b) Regressing all data, determine the second and third osmotic virial coefficients at pH 4.5.

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pH = 7.4 (g/L) 84 91 211 211 289 325 325 354 357 413 428 448 mmHg 48 59 332 334 844 996 996 1423 1638 2620 2806 3640 pH = 5.4 (g/L) 91 130 144 234 240 245 338 395 411 414 430 454 mmHg 41 74 90 260 229 269 618 1005 1230 1286 1370 1529 pH = 4.5 (g/L) 126 182 278 317 318 343 418 475 mmHg 47 93 182 228 244 284 716 889