We report the first clear observations of an entropy-driven phase transitio
n between a dilute micellar "gas" and a disordered but highly associated mi
cellar "liquid" realized with aqueous solutions of poly(ethylene oxide) cha
ins fully end-capped with C-16 and C-18 hydrophobes. Dynamic light scatteri
ng and capillary viscometry determine the radii and aggregation numbers of
the micelles and, together with the coexisting concentrations, permit estim
ates of the strength of the entropic attraction through the adhesive hard-s
phere model. The behavior is qualitatively consistent with expectations for
the entropy gain from the exchange of end blocks between cores of flowerli
ke micelles consisting of associative triblock copolymers.