The system acetone (1)-acetonitrile (2)-nitro-methane (3) at \(80^{\circ} \mathrm{C}\) and \(100 \mathrm{kPa}\) has the overall composition \(z_{1}=0.45, z_{2}=0.35\), and \(z_{3}=0.20\). Assuming that Raoult's law is appropriate to this system, determine \(L, V, x_{i}\) and \(y_{i}\). The vapour pressure of pure species are given by and

\[ \begin{aligned} & P_{1}^{\text {Sat }}=195.75 \mathrm{kPa} \\ & P_{2}^{\text {Sat }}=97.84 \mathrm{kPa} \end{aligned} \]

\[ P_{3}^{\mathrm{Sat}}=50.32 \mathrm{kPa} \]