The partial molar volumes of water and ethanol in a solution with x(H2O) = 0.40 at 25 degrees C are 16.9 and 57.5 cm^3/mol, respectively.
The densities of water and ethanol are 0.997 and 0.7893 g/cm^3, respectively, at this temperature.
Please show how to calculate the volume change upon mixing sufficient ethanol with 3 mol of water to give this concentration (x(H2) = 0.40). I am getting loss as to the mol of ethanol needed.