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P.9 Assume that a sealed vessel at constant pressure of 1 bar initially contains 2.00 mol of NO₂(g). The system is allowed to equilibrate with respect to the reaction 2 NO₂(g) N₂O4(g). The number of moles of NO₂(g) and N₂O4(g) at equilibrium is 2.00 2§ and §, respectively, where § is the extent of reaction. a. Derive an expression for the entropy of mixing as a func- tion of . b. Graphically determine the value of for which AS mixing has its maximum value. c. Write an expression for Gpure as a function of §. Use Equation 104 to obtain values of Gm for NO₂ and N₂O4. d. Plot Gmixture = Gpure + AGmixing as a function of & for T = 298 K and graphically determine the value of & for which Gmixture has its minimum value. Is this value the same as for part (b)?

P.9 Assume that a sealed vessel at constant pressure of 1 bar initially contains 2.00 mol of NO₂(g). The system is allowed to equilibrate with respect to the reaction 2 NO₂(g) N₂O4(g). The number of moles of NO₂(g) and N₂O4(g) at equilibrium is 2.00 2§ and §, respectively, where § is the extent of reaction. a. Derive an expression for the entropy of mixing as a func- tion of . b. Graphically determine the value of for which AS mixing has its maximum value. c. Write an expression for Gpure as a function of §. Use Equation 104 to obtain values of Gm for NO₂ and N₂O4. d. Plot Gmixture = Gpure + AGmixing as a function of & for T = 298 K and graphically determine the value of & for which Gmixture has its minimum value. Is this value the same as for part (b)?

Introduction to Chemical Engineering Thermodynamics
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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P.9 Assume that a sealed vessel at constant pressure of 1 bar initially contains 2.00 mol of NO₂(g). The system is allowed to equilibrate with respect to the reaction 2 NO₂(g) N₂O4(g). The number of moles of NO₂(g) and N₂O4(g) at equilibrium is 2.00 - 2 and , respectively, where is the extent of reaction. a. Derive an expression for the entropy of mixing as a func- tion of . b. Graphically determine the value of ₹ for which AS mixing has its maximum value. c. Write an expression for Gpure as a function of §. Use Equation 104 to obtain values of Gm for NO2 and N₂O4. d. Plot Gmixture = Gpure + AGmixing as a function of for ₹ T = 298 K and graphically determine the value of & for which Gmixture has its minimum value. Is this value the same as for part (b)?
Transcribed Image Text:P.9 Assume that a sealed vessel at constant pressure of 1 bar initially contains 2.00 mol of NO₂(g). The system is allowed to equilibrate with respect to the reaction 2 NO₂(g) N₂O4(g). The number of moles of NO₂(g) and N₂O4(g) at equilibrium is 2.00 - 2 and , respectively, where is the extent of reaction. a. Derive an expression for the entropy of mixing as a func- tion of . b. Graphically determine the value of ₹ for which AS mixing has its maximum value. c. Write an expression for Gpure as a function of §. Use Equation 104 to obtain values of Gm for NO2 and N₂O4. d. Plot Gmixture = Gpure + AGmixing as a function of for ₹ T = 298 K and graphically determine the value of & for which Gmixture has its minimum value. Is this value the same as for part (b)?
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