Homework Problem 11.1 (both parts), please show all work! Derive the expression

Question

Homework Problem 11.1 (both parts), please show all work!

Derive the expression for the activity coefficient of the Redlich-Kister expansion. The volume change on mixing for the liquid methyl formate(1) + liquid ethanol(2) system at 298,15 K may be approximately represented by J. Polack, Lu, B.C.-Y. 1972. J. Chem Thermodynamics, 4:469: Delta V_mix = 0.8x_1 x_2 cm^3 / mol Using this correlation, and the data V_1 = 67.28 cm3^/mol, V_2 = 58.68 cm^3/mol, deter mine the molar volume of mixtures atx_1 = 0, 0.2, 0.4, 0.6. 0.8, 1.0 in cm^3 /mol. Analytically differentiate the above expression and show that V_1^E = 0.8x_2^2 and V_2^E = 0.8.x_1^2 cm^3/mol and plot these partial molar excess volumes as a function of x_1.

Explanation / Answer

the molar volume of the mixture will be

V = V1 x1 + V2 x2

when V1 and V2 are the molar volumes of the componets (1) and (2)

of the solution

x1 and x2 are trhe modes components (1) and (2)of the solution

In each case the optimum number of coefficients Ai was determined from an examination of the variation of standard deviation as calculated by : y E = [ (yE obs - y E cal) / ( n-m ) ]1/2 (4) here n represents the number of experimental points and m represents the number of coefficients in fitting the data. RESUL

Related Questions

Navigate

• Browse (All)
• Browse H
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.