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 liquid 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 Py is in mmHg and T is °C): 1210.595 Acetone: logP, = 7.11714 T+229.664 Water: 1668.21 logP, = 7.96681 T+228 a) The evaporator operates at 0.574 atm. How would you determine the minimum operating temperature to ensure that two phases form in the separator? Set up the equation you would use to solve this problem. Include all known values in your proposed equation. You do not need to solve the equation to determine the minimum temperature. b) 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
Section: Chapter Questions
Problem 1.1P
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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
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 Py is in mmHg and T is °C):
Acetone:
1210.595
logP,
= 7.11714 -
-
T+229.664
Water:
1668.21
logP,
= 7.96681
T+228
a) The evaporator operates at 0.574 atm. How would you determine the
minimum operating temperature to ensure that two phases form in the
separator? Set up the equation you would use to solve this problem. Include all
known values in your proposed equation. You do not need to solve the equation
to determine the minimum temperature.
b) 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
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 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 Py is in mmHg and T is °C): Acetone: 1210.595 logP, = 7.11714 - - T+229.664 Water: 1668.21 logP, = 7.96681 T+228 a) The evaporator operates at 0.574 atm. How would you determine the minimum operating temperature to ensure that two phases form in the separator? Set up the equation you would use to solve this problem. Include all known values in your proposed equation. You do not need to solve the equation to determine the minimum temperature. b) 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
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