The molar volume of a binary mixture consisting of components 1 and 2 at \(298 \mathrm{~K}\) and \(1 \mathrm{~atm}\) is represented by the following empirical relation:

\[ V=52.36-32.64 y_{2}-42.98 y_{2}^{2}+58.77 y_{2}^{3}-23.45 y_{2}^{4} \]

where \(V\) is in \(\mathrm{cm}^{3} / \mathrm{mol}\) and \(y_{2}\) is the mole fraction of component 2. Develop the expressions for the partial molar volumes for both the components.