A liquid mixture containing 35.0 mole% acetone and 65.0 mole% water is to be partially vaporized in a process vessel called an evaporator to produce a vapor and a líquid stream. The vapor and liquid streams exiting the evaporator are at equilibrium with each other and the evaporator operates at steady state. The liquid mixture is fed into the evaporator at a rate of 10.0 kmol/hr. Water and acetone are miscible liquids and they can be modeled using Raoult's Law. The vapor pressures of water and acetone can be estimated using the following relationships (where P, is in mmHg and T is °C): 1210.595 Acetone: logP, = 7.11714 – T+229.664 1668.21 Water: logP, = 7.96681 T+228 The operating temperature and pressure are maintained at 65°C and 0.574 atm, respectively. At these conditions, the vapor pressure of acetone is 1020 mmHg and the vapor pressure of water is 160 mmHg. Determine: i) Mole fraction of acetone in each of the product streams. ii) Molar flow rate of each of the product streams using material balance equations. iii) Molar flow rate of either of the product streams using lever rule. iv) Sketch a P-X diagram of the binary system at 65°C, including the following: • Label the axes • Label the bubble point and dew point lines • Identify on the plot the conditions of the feed stream (F), the liquid outlet stream (L) and the vapor outlet stream (V) Label the vapor pressures of each component

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
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A liquid mixture containing 35.0 mole% acetone and 65.0 mole% water is to be
partially vaporized in a process vessel called an evaporator to produce a vapor
The vapor and liquid streams exiting the evaporator are at equilibrium with each
other and the evaporator operates at steady state.
The liquid mixture is fed into the evaporator at a rate of 10.0 kmol/hr.
Water and acetone are miscible liquids and they can be modeled using Raoult's
Law.
The vapor pressures of water and acetone can be estimated using the following
relationships (where P, is in mmHg and T is °C):
Acetone:
1210.595
logP,
= 7.11714
T+229.664
1668.21
Water: logP, = 7.96681 -
T+228
The operating temperature and pressure are maintained at 65°C and 0.574
atm, respectively. At these conditions, the vapor pressure of acetone is 1020
mmHg and the vapor pressure of water is 160 mmHg. Determine:
i) Mole fraction of acetone in each of the product streams.
ii) Molar flow rate of each of the product streams using material balance
equations.
ii) Molar flow rate of either of the product streams using lever rule.
iv) Sketch a P-X diagram of the binary system at 65°C, including the following:
• Label the axes
• Label the bubble point and dew point lines
• Identify on the plot the conditions of the feed stream (F), the liquid outlet
stream (L) and the vapor outlet stream (V)
• Label the vapor pressures of each component
Transcribed Image Text:A liquid mixture containing 35.0 mole% acetone and 65.0 mole% water is to be partially vaporized in a process vessel called an evaporator to produce a vapor The vapor and liquid streams exiting the evaporator are at equilibrium with each other and the evaporator operates at steady state. The liquid mixture is fed into the evaporator at a rate of 10.0 kmol/hr. Water and acetone are miscible liquids and they can be modeled using Raoult's Law. The vapor pressures of water and acetone can be estimated using the following relationships (where P, is in mmHg and T is °C): Acetone: 1210.595 logP, = 7.11714 T+229.664 1668.21 Water: logP, = 7.96681 - T+228 The operating temperature and pressure are maintained at 65°C and 0.574 atm, respectively. At these conditions, the vapor pressure of acetone is 1020 mmHg and the vapor pressure of water is 160 mmHg. Determine: i) Mole fraction of acetone in each of the product streams. ii) Molar flow rate of each of the product streams using material balance equations. ii) Molar flow rate of either of the product streams using lever rule. iv) Sketch a P-X diagram of the binary system at 65°C, including the following: • Label the axes • Label the bubble point and dew point lines • Identify on the plot the conditions of the feed stream (F), the liquid outlet stream (L) and the vapor outlet stream (V) • Label the vapor pressures of each component
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