For the binary system ethanol(l)/isooctane(2) at 50?C, the infinite-dilution, liquid-phase activity coefficients are ?1? = 21.17 and ?2? = 9.84.(a) Calculate the constants A12 and All in the van Laar equations.(b) Calculate the constants A12 and A21 in the Wilson equations.(c) Using the constants from (a) and (b), calculate ?1 and ?2 over the entire composition range and plot the calculated points as log ? versus x1.(d) How well do the van Laar and Wilson predictions agree with the azeotropic point where xl = 0.5941, ?l = 1.44, and ?2 = 2.18?(e) Show that the van Laar equation erroneously predicts separation into two liquid phases over a portion of the composition range by calculating and plotting a y-x diagram like Figure.

0.8 55C 0.6 25C 0.2 0.4 0.6 0.8 1.0 0.2 4, mole fraction methanol in Fquid y. mole fraction methanol in vapor