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Four gram-moles of benzene and six gram-moles of toluene are placed in a closed cylinder equipped with a piston. The cylinder is immersed in a boiling water bath, so that its temperature is maintained at 900C. The saturation vapor pressures of benzene and toluene at this temperature are 1041 mm Hg and 407 mm Hg, respectively. The force exerted on the piston can be varied to adjust the cylinder pressure to any desired value. The pressure is initially 800 mm Hg and is gradually lowered. 1) Prove that at the initial pressure of 800 mm Hg, the cylinder only contains a liquid mixture of benzene and toluene. 2) At what pressure does the first vapor bubble form and what is its composition? 3) At what pressure does the last drop of liquid evaporate, and what is its composition?

Four gram-moles of benzene and six gram-moles of toluene are placed in a closed cylinder equipped with a piston. The cylinder is immersed in a boiling water bath, so that its temperature is maintained at 900C. The saturation vapor pressures of benzene and toluene at this temperature are 1041 mm Hg and 407 mm Hg, respectively. The force exerted on the piston can be varied to adjust the cylinder pressure to any desired value. The pressure is initially 800 mm Hg and is gradually lowered. 1) Prove that at the initial pressure of 800 mm Hg, the cylinder only contains a liquid mixture of benzene and toluene. 2) At what pressure does the first vapor bubble form and what is its composition? 3) At what pressure does the last drop of liquid evaporate, and what is its composition?

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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Four gram-moles of benzene and six gram-moles of toluene are placed in a closed cylinder equipped with a piston. The cylinder is immersed in a boiling water bath, so that its temperature is maintained at 900C. The saturation vapor pressures of benzene and toluene at this temperature are 1041 mm Hg and 407 mm Hg, respectively. The force exerted on the piston can be varied to adjust the cylinder pressure to any desired value. The pressure is initially 800 mm Hg and is gradually lowered. 1) Prove that at the initial pressure of 800 mm Hg, the cylinder only contains a liquid mixture of benzene and toluene. 2) At what pressure does the first vapor bubble form and what is its composition? 3) At what pressure does the last drop of liquid evaporate, and what is its composition? 4) Show that the cylinder contains a vapor-liquid mixture at a pressure of 600 mm Hg. Determine the amounts and compositions of the vapor and liquid phases. *Assume that the vapor and liquid phases are in equilibrium, whenever they coexist. *
Transcribed Image Text:Four gram-moles of benzene and six gram-moles of toluene are placed in a closed cylinder equipped with a piston. The cylinder is immersed in a boiling water bath, so that its temperature is maintained at 900C. The saturation vapor pressures of benzene and toluene at this temperature are 1041 mm Hg and 407 mm Hg, respectively. The force exerted on the piston can be varied to adjust the cylinder pressure to any desired value. The pressure is initially 800 mm Hg and is gradually lowered. 1) Prove that at the initial pressure of 800 mm Hg, the cylinder only contains a liquid mixture of benzene and toluene. 2) At what pressure does the first vapor bubble form and what is its composition? 3) At what pressure does the last drop of liquid evaporate, and what is its composition? 4) Show that the cylinder contains a vapor-liquid mixture at a pressure of 600 mm Hg. Determine the amounts and compositions of the vapor and liquid phases. *Assume that the vapor and liquid phases are in equilibrium, whenever they coexist. *
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