In order to determine the intrinsic viscosity [η] of a solution of polyvinyl alcohol, the viscosities of several solutions with different concentrations are measured. The intrinsic viscosity is defined as the limit

where c is the concentration of the polymer measured in grams per deciliter, η is the viscosity of a solution of concentration c, and η₀ is the viscosity of the pure solvent (water in this case). The intrinsic viscosity and the viscosity-average molar mass are related by the formula

where M is the molar mass and M₀ = 1 g mol^ˆ’1 (1 dalton). Find the molar mass if [η] = 0.86 dl g^ˆ’1. Find the expected error in the molar mass if the expected error in [η] is 0.03 dl g^ˆ’1.

Transcribed Image Text:

lim In c→0 0.76 In] = (2.00 x 10–*dl g-')) Mo