Please solve the following problem and show all work:

13.32. The following is a set of VLE data for the system methanol(1)/water(2) at 333.15 K: P/kPa X1 Yi P/kPa X1 Yi 19.953 39.223 42.984 48.852 52.784 56.652 0.0000 0.1686 0.2167 0.3039 0.3681 0.4461 0.0000 0.5714 0.6268 0.6943 0.7345 0.7742 60.614 63.998 67.924 70.229 72.832 84.562 0.5282 0.6044 0.6804 0.7255 0.7776 1.0000 0.8085 0.8383 0.8733 0.8922 0.9141 1.0000 Extracted from K. Kurihara et al., J. Chem. Eng. Data, vol. 40, pp. 679684, 1995. (a) Basing calculations on Eq. (13.24), find parameter values for the Margules equa- tion that provide the best fit of GF/RT to the data, and prepare a Pxy diagram that compares the experimental points with curves determined from the correlation