When you learned about the solubility parameters (₰) from the Scatchard-Hildebrand approach in Chapter 11, it was discussed that the difference in the values of the solubility parameters between two substances can provide you with a quick way of identifying the degree of deviation from the ideal solution. Thus, a binary mixture whose difference in solubility parameters is small will have smaller deviations from ideal solution behavior. You conjecture that a mixture with a large difference in their solubility parameters might be so non-ideal that the system displays a miscibility gap. You decide to test your conjecture with the methanol (1) + n-hexane (2) system at 300 K. Does your mixture form a miscibility gap when calculated using the solubility parameters? If so, how does your value compare with the experimental value at this temperature (x₁^a = .288; x₁^β = .769) (Hradetzky and Lempe, 1991)?