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A tub of pure water sits in a room open to the atmosphere at 85°C. When the water has reached equilibrium with the air in the room, what is the fugacity of water in the vapor? You may assume the vapor behaves as an ideal gas.

A tub of pure water sits in a room open to the atmosphere at 85°C. When the water has reached equilibrium with the air in the room, what is the fugacity of water in the vapor? You may assume the vapor behaves as an ideal gas.

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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**Problem Statement:** A tub of pure water sits in a room open to the atmosphere at 85°C. When the water has reached equilibrium with the air in the room, what is the fugacity of water in the vapor? You may assume the vapor behaves as an ideal gas. **Explanation for Educational Website:** This problem pertains to the concept of fugacity in thermodynamics, specifically related to water vapor in a room at a given temperature. Fugacity is a corrected pressure that accounts for deviations of a real gas from ideal behavior. In this problem, the vapor is assumed to behave as an ideal gas, simplifying the calculations. **Analysis Steps:** - Establish the temperature of the system (85°C). - Recognize that equilibrium is reached when the vapor pressure of water is equal to the partial pressure of the water vapor in the air. - Use ideal gas assumptions to simplify fugacity to be equivalent to the partial pressure of water vapor at equilibrium for the ideal gas case. **Diagrams/Graphs:** (None included in the image) For learning, tables of water vapor pressure at different temperatures (for conversion) might be used, typically found in thermodynamics textbooks or online resources related to steam tables. **Concept Recap:** - **Fugacity:** Represents the 'effective pressure' exerted by a species in a non-ideal system. - **Ideal Gas Assumption:** Here, the vapor is considered to behave ideally, simplifying fugacity to the vapor pressure at the given temperature. This type of problem is common in thermodynamics applications, chemical engineering, and physical chemistry studies, providing practical understanding for real-world scenarios involving gases and vapors.
Transcribed Image Text:**Problem Statement:** A tub of pure water sits in a room open to the atmosphere at 85°C. When the water has reached equilibrium with the air in the room, what is the fugacity of water in the vapor? You may assume the vapor behaves as an ideal gas. **Explanation for Educational Website:** This problem pertains to the concept of fugacity in thermodynamics, specifically related to water vapor in a room at a given temperature. Fugacity is a corrected pressure that accounts for deviations of a real gas from ideal behavior. In this problem, the vapor is assumed to behave as an ideal gas, simplifying the calculations. **Analysis Steps:** - Establish the temperature of the system (85°C). - Recognize that equilibrium is reached when the vapor pressure of water is equal to the partial pressure of the water vapor in the air. - Use ideal gas assumptions to simplify fugacity to be equivalent to the partial pressure of water vapor at equilibrium for the ideal gas case. **Diagrams/Graphs:** (None included in the image) For learning, tables of water vapor pressure at different temperatures (for conversion) might be used, typically found in thermodynamics textbooks or online resources related to steam tables. **Concept Recap:** - **Fugacity:** Represents the 'effective pressure' exerted by a species in a non-ideal system. - **Ideal Gas Assumption:** Here, the vapor is considered to behave ideally, simplifying fugacity to the vapor pressure at the given temperature. This type of problem is common in thermodynamics applications, chemical engineering, and physical chemistry studies, providing practical understanding for real-world scenarios involving gases and vapors.
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