Homework _6-1 - ChemE 178 Homework#6 Due Friday October 24...

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ChemE 178: Homework #6 Due Friday October 24 1.) Polymer blends are to be made from a poly(ethylenepropylene) (h-PEP) of weight average molecular weight Mw = 175,000, Mw/Mn=1.01 and a perdeuterated- poly(ethylenepropylene) (d-PEP), Mw=200,000, Mw/Mn=1.01. The d-PEP is the same in all respect as the h-PEP except that the d-PEP has all hydrogens exchanged for deuterium. The Flory parameter χ for the d-PEP/h-PEP pair is given by χ = (0.571/T)-6.6x10 -4 , where T is the absolute temperature (K). Compute and plot the following: A.) The normalized free energy of mixing G mix /Mk B T versus ϕ d-PB at the following temperatures: 300K, 350K, 385K and 450K. Use a spreadsheet program like Excel or a plotting program with computational capability to produce these plots. Use scales so that important details are visible. B.) Compute the binodal and spinodal ϕ 's as a function of temperature and use these to compute and plot the phase diagram for this system. C.) What would be the degree of polymerization (where both d-PEP and h-PEP
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