DATA Dpsl 75 nm Latex diameter Polystyrene density Cpsl %10 Latex mass fraction Water densitypsl 1.05 gm mL w 1 gm mL Properties of the adsorbing polymer CPAM I 100 mL 4 gm Intrinsic Viscosity Initial CPAM mass fraction Mw 100 kDa Molecular weight CPAM o %0.1 CPAM f %0.0075 CPAM supernatant concentration after adsorption.

1) You have conducted an adsorption experiment in which you mixed a polystyrene latex dispersion with an equal volume of a solution of CPAM, a cationic water-soluble polymer. After mixing for sufficient time for saturation adsorption to occur, you centrifuge the latex dispersion, and you measure the polymer concentration in latex-free supernatant (CPAM f ). Calculate G max , the density of adsorbed polymer in units of mg/m2 Assuming the polymer adsorbed as closely packed, spherical random coils:

2)

a) calculate Gmax using the Mark Houwink model of the polymer solutions.

b) explain why the values differs from problem 1"