Acetone and chloroform are mixed to prepare \(1.0 \mathrm{~kg}\) of a solution in which the mole fraction of chloroform \(\left(x_{2}\right)\) is 0.4690 , the partial molar volume of chloroform is \(80.235 \mathrm{~cm}^{3} / \mathrm{mol}\), and that of acetone is \(74.166 \mathrm{~cm}^{3} / \mathrm{mol}\). Calculate the volume of the solution.