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You are given a container partially filled with water at 25°C. You then proceed to pump all of the air out of the container, leaving a pool of water at the bottom, and a vacuum (P=0) at the top (see first panel in figure below). You then turn off the pump and seal the container. You wait a short while and the water in the bottom starts to evaporate (see second panel) until it achieves phase equilibrium (see third panel). Assuming no change in temperature and no significant change in volume of the water, what is the pressure in the box? (Hint: you must balance fugacity between the liquid and vapor phases. You may also assume the vapor phase is an ideal gas, and the liquid is an ideal solution since it is a single pure component.)

You are given a container partially filled with water at 25°C. You then proceed to pump all of the air out of the container, leaving a pool of water at the bottom, and a vacuum (P=0) at the top (see first panel in figure below). You then turn off the pump and seal the container. You wait a short while and the water in the bottom starts to evaporate (see second panel) until it achieves phase equilibrium (see third panel). Assuming no change in temperature and no significant change in volume of the water, what is the pressure in the box? (Hint: you must balance fugacity between the liquid and vapor phases. You may also assume the vapor phase is an ideal gas, and the liquid is an ideal solution since it is a single pure component.)

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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Solve the following questions related to fugacity of a liquid. Assume that liquid is incompressible and thus the = 1 molar volume of the liquid is constant. (You may assume that Psat is low enough that sat for all parts of this problem. You will also need to look up or calculate the molar volume of water.) You are given a container partially filled with water at 25°C. You then proceed to pump all of the air out of the container, leaving a pool of water at the bottom, and a vacuum (P=0) at the top (see first panel in figure below). You then turn off the pump and seal the container. You wait a short while and the water in the bottom starts to evaporate (see second panel) until it achieves phase equilibrium (see third panel). Assuming no change in temperature and no significant change in volume of the water, what is the pressure in the box? (Hint: you must balance fugacity between the liquid and vapor phases. You may also assume the vapor phase is an ideal gas, and the liquid is an ideal solution since it is a single pure component.) Vacuum (P=0) Water Evaporation Water Vapor (P=0) Water
Transcribed Image Text:Solve the following questions related to fugacity of a liquid. Assume that liquid is incompressible and thus the = 1 molar volume of the liquid is constant. (You may assume that Psat is low enough that sat for all parts of this problem. You will also need to look up or calculate the molar volume of water.) You are given a container partially filled with water at 25°C. You then proceed to pump all of the air out of the container, leaving a pool of water at the bottom, and a vacuum (P=0) at the top (see first panel in figure below). You then turn off the pump and seal the container. You wait a short while and the water in the bottom starts to evaporate (see second panel) until it achieves phase equilibrium (see third panel). Assuming no change in temperature and no significant change in volume of the water, what is the pressure in the box? (Hint: you must balance fugacity between the liquid and vapor phases. You may also assume the vapor phase is an ideal gas, and the liquid is an ideal solution since it is a single pure component.) Vacuum (P=0) Water Evaporation Water Vapor (P=0) Water
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