?The data in Table 10.2 are experimental values of \(V^{E}\) for binary liquid mixtures

Chapter 10, Problem 10.29

(choose chapter or problem)

The data in Table 10.2 are experimental values of \(V^{E}\) for binary liquid mixtures of 1,3-dioxolane(1) and isooctane(2) at 298.15 K and 1(atm).

(a) Determine from the data numerical values of parameters a, b, and c in the correlating equation:

\(V^{E}=x_{1} x_{2}\left(a+b x_{1}+c x_{1}^{2}\right)\)

(b) Determine from the results of part (a) the maximum value of \(V^{E}\). At what value of \(x_{1}\) does this occur?

(c) Determine from the results of part (a) expressions for \(\bar{V}_{1}^{E}\) and \(\bar{V}_{2}^{E}\). Prepare a plot of these quantities vs. \(x_{1}\), and discuss its features.

Text Transcription:

V^E

V^E = x_1x_2(a + bx_1 + cx_1^2)

x_1

bar V_1^E

bar V_2^E

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