$10\mathrm{.}25.$ For the system ethylene$(1)/$propylene$(2)$ as a gas, estimate hat$(f{)}_1,$hat$(f{)}_2,$hat$({)}_1,$ and hat$({)}_2$ at $t=150C,P=30$ bar, and $y_1=0\mathrm{.}35$ :

$($a$)$ Through application of Eqs. $(10\mathrm{.}63).$

$($b$)$ Assuming that the mixture is an ideal solution

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