$7\mathrm{.}2$ For a binary mixture of components $1$ and $2,$ the molar volume of the mixture

$($in $c\frac{m^3}{m}ol)$ is given by

tilde$(V{)}_{\text{m}\text{i}\text{x}}=\frac{2}{x_1^2-0\mathrm{.}8x_1+1\mathrm{.}25}$

$($a$)$ Determine the volumes of pure components required to form $750c{m}^3$ of a

solution with $x_1=0\mathrm{.}35.$

$($b$)$ Are the like interactions stronger or weaker than the unlike interactions?

$($Answer: $($a$)V_1=197\mathrm{.}7c{m}^3,V_2=426\mathrm{.}1c{m}^3)$