A liquid mixture is prepared by combining N different liquids with densities pi; p2; ..; PN. The volume of component i added to the mixture is Vi, and the mass fraction of this component in the mixture is x. The components are completely miscible. The following two formulas provide estimates of the density of the liquid mixture, p, if the volume of the mixture equals the sum of the pure-component volumes. Only one of the formulas is correct, however. (1) p= xp. 1 (ii) Determine whether (i) or (ii) 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.
A liquid mixture is prepared by combining N different liquids with densities pi; p2; ..; PN. The volume of component i added to the mixture is Vi, and the mass fraction of this component in the mixture is x. The components are completely miscible. The following two formulas provide estimates of the density of the liquid mixture, p, if the volume of the mixture equals the sum of the pure-component volumes. Only one of the formulas is correct, however. (1) p= xp. 1 (ii) Determine whether (i) or (ii) 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.
Introduction to Chemical Engineering Thermodynamics
8th Edition
ISBN:9781259696527
Author:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Publisher:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Chapter1: Introduction
Section: Chapter Questions
Problem 1.1P
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Transcribed Image Text:Q4/
A liquid mixture is prepared by combining N different liquids with densities pi; p2; ...;
PN. The volume of component i added to the mixture is Vi, and the mass fraction of this
component in the mixture is x. The components are completely miscible. The following two
formulas provide estimates of the density of the liquid mixture, p, if the volume of the
mixture equals the sum of the pure-component volumes. Only one of the formulas is correct,
however.
(i) p = > xiPi
1
(ii)
i=1
Determine whether (i) or (ii) 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.
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