Given the molar volume of $(c\frac{m^3}{m}ol)$ of a binary liquid mixture at specified $T$ and $P$ as$-$

$V=145x_1+95x_2+(22x_1+9x_2)x_1{x}_2$

$1.$ Find the expressions for the partial molar volumes of species $1$ and $2$ at specified $T$ and $P.$

$2.$ Determine the partial molar volumes in a liquid at $x_1=0\mathrm{.}7$ and at infinite dilution of both components.