Acetone (1) and water (2) constitute a binary mixture at 298 K and 1 atm. The molar volume of the binary mixture is represented by the following empirical relation: 2 3 4 2 2 2 2 V x x x x = + 52.36 32.64 42.98 58.77 23.45 where V is in m3 /mol and 2 x is the mole fraction of water in the mixture. (a) Find the expression for V1 and V2 at 298 K and 1 atm. (b) Find the numerical values of V1 , V2 , V1 and V2 . (c) Prove that the Gibbs-Duhem equation is satisfied.