A liquid mixture is prepared by combining N different

Chapter 3, Problem 3.24

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A liquid mixture is prepared by combining N different liquids with densities PI, P2, ... , Pv. The volume of component i added to the mixture is Vi and the mass fraction of this component in the mixture is Xi. The components are completely miscible. Determine which of the following two formulas should be used to estimate the density of the liquid mixture, {5, if the volume of the mixture equals the sum of the pure-component volumes.? N {5 = L XiPi (A) i=l = i Xi (B) P J=l Pi Determine whether (A) or (B) is the correct formula (show your proof), and then use the correct formula to estimate the density (g/cm3) of a liquid mixture containing 60.0 wt% acetone, 25.0 wt% acetic acid, and 15.0 wt% carbon tetrachloride