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We experimentally measure the osmotic pressures of linear polymers andthree-, four-, and eight-arm star polymers in a good solvent via membraneosmometry. These results reveal that the osmotic equations of state in the starpolymer solutions are universally described by the same scaling function thatdescribes linear polymer solutions. This universality is achieved by cancelingincreasing overlap concentrations and decreasing osmotic pressure, owing to theincreased arm number. We further clarify the molar mass and arm numberdependencies of the gyration radius and interpenetration factor, ensuringuniversality in star polymer solutions.

Universality of Osmotic Equation of State in Star Polymer Solutions