Comelli and Francesconi examined mixtures of propionic acid with various other organic liquids at 313.15 K (F. Comelli and R. Francesconi, J. Chem. Eng. Data 41, 101 (1996)). They report the excess volume of mixing propionic acid with tetrahydropyran (THP, oxane) as VE = x1x2{a0 + a1(x1 − x2)}, where x1 is the mole fraction of propionic acid, x2 that of THP, a0 = −2.4697 cm3 mol−1, and a1 = 0.0608 cm3 mol−1. The density of propionic acid at this temperature is 0.971 74 g cm−3; that of THP is 0.863 98 g cm−3. (a) Derive an expression for the partial molar volume of each component at this temperature. (b) Compute the partial molar volume for each component in an equimolar mixture.

(a) Component 1 is taken as propionic acid. Component 2 is taken as THP. The expression for molar…

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Chemistry

10th Edition

ISBN:9781305957404

Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste

Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste

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Comelli and Francesconi examined mixtures of propionic acid with various other organic liquids at 313.15 K (F. Comelli and R. Francesconi, J. Chem. Eng. Data 41, 101 (1996)). They report the excess volume of mixing propionic acid with tetrahydropyran (THP, oxane) as V^E = x₁x₂{a₀ + a₁(x₁ − x₂)}, where x₁ is the mole fraction of propionic acid, x₂ that of THP, a₀ = −2.4697 cm³ mol⁻¹, and a₁ = 0.0608 cm³ mol⁻¹. The density of propionic acid at this temperature is 0.971 74 g cm⁻³; that of THP is 0.863 98 g cm⁻³. (a) Derive an expression for the partial molar volume of each component at this temperature. (b) Compute the partial molar volume for each component in an equimolar mixture.

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