On average, how many M = 106 g/mol poly(ethylene oxide) chains are contained in one coil volume for a bulk (no solvent) specimen, where Rg ~ M1/2? Use data from the book and state any assumptions. Repeat this calculation for poly(methyl methacrylate).

)benzene and toluene form nearly ideal solutions. consider an equimolar solution of benzene and toluene. at 20 °c the vapour pressures of pure benzene and toluene are 9.9 kpa and 2.9 kpa, respectively. the solution is boiled by reducing the external pressure below the vapour pressure. calculate (i) the pressure when boiling begins, (ii) the composition of each component in the vapour, and (iii) the vapour pressure when only a few drops of liquid remain. assume that the rate of vaporization is low enough for the temperature to remain constant at 20 °c.