# B by expanding the previous plot around the region

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and letters (see also the relevant part of chapter 11). (b) By expanding the previous plot around the region that corresponds to phase coexistence, determine graphically the value of the saturation pressure 0 r p for 0.85 r T = in 4 significant digits. (c) By expanding the plot of part (a) around the regions that correspond to the stability limits, determine graphically the two values of the pressure associated with these stability limits in 4 significant digits. (d) Prepare a high quality plot of r p ( y -axis) vs. mr V ( x -axis) for the 0.85 r T = isotherm. The calculated r mr p V isotherm should cover the ranges 1 r p and 3 10 mr V . The x -axis should be logarithmic from 3 0.1 10 mr V and the y -axis from 0 1 r p . Mark the points that correspond to phase coexistence, the limits of stability, and the metastable and unstable parts with bullets and letters (see also the relevant part of chapter 11). (e) Express Eq. (6) as a cubic polynomial in mr V . Using excel, mathematica, or matlab, calculate the roots of this cubic equation for 0.85 r T = and 0 r r p p = , found in part (b). From these roots, deduce the values of the reduced molar volumes of the two coexisting phases at 0.85 r T = . (f) Use the previous cubic form and the result of part (c) to find the values of the reduced molar volumes that correspond to the two stability limits of the 0.85 r T = isotherm.
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