A perfectly insulated cylinder fitted with a leakproof frictionless piston with a mass of 30.0 kg and a face area of 400.0 cm? contains 7.0 kg of liquid water and a 3.0-kg bar of aluminum. The aluminum bar has an electrical coil imbedded in it, so that known amounts of heat can be trans- ferred to it. Aluminum has a specific gravity of 2.70 and a specific internal energy given by the formula Û(kJ/kg) = 0.94T(°C). The internal energy of liquid water at any temperature may be taken to be that of the saturated liquid at that temperature. Negligible heat is transferred to the cylinder wall. Atmospheric pressure is 1.00 atm. The cylinder and its contents are initially at 20°C. %3D m- 30 kg- A-400 cm- 7 kg H-O 0000 C0000 3 kg Al- Suppose that 3310 kJ is transferred to the bar from the heating coil and the contents of the cylinder are then allowed to cquilibrate. (a) Calculate the pressure of the cylinder contents throughout the process. Then determine whether the amount of heat transferred to the system is sufficient to vaporize any of the water. (b) Determine the following quantities: (i) the final system temperature; (ii) the volumes (cm) of the liquid and vapor phases present at equilibrium; and (iii) the vertical distance traveled by the piston from the beginning to the end of the process. [Suggestion: Write an energy balance on the complete process, taking the cylinder contents to be the system. Note that the system is closed and that work is done by the system when it moves the piston through a vertical displacement. The magnitude of this work is W the change in system volume from the initial to the final state.] (c) Calculate an upper limit on the temperature attainable by the aluminum bar during the process, and state the condition that would have to apply for the bar to come close to this tempera- PAV, where P is the constant system pressure and AV is %3D ture.
A perfectly insulated cylinder fitted with a leakproof frictionless piston with a mass of 30.0 kg and a face area of 400.0 cm? contains 7.0 kg of liquid water and a 3.0-kg bar of aluminum. The aluminum bar has an electrical coil imbedded in it, so that known amounts of heat can be trans- ferred to it. Aluminum has a specific gravity of 2.70 and a specific internal energy given by the formula Û(kJ/kg) = 0.94T(°C). The internal energy of liquid water at any temperature may be taken to be that of the saturated liquid at that temperature. Negligible heat is transferred to the cylinder wall. Atmospheric pressure is 1.00 atm. The cylinder and its contents are initially at 20°C. %3D m- 30 kg- A-400 cm- 7 kg H-O 0000 C0000 3 kg Al- Suppose that 3310 kJ is transferred to the bar from the heating coil and the contents of the cylinder are then allowed to cquilibrate. (a) Calculate the pressure of the cylinder contents throughout the process. Then determine whether the amount of heat transferred to the system is sufficient to vaporize any of the water. (b) Determine the following quantities: (i) the final system temperature; (ii) the volumes (cm) of the liquid and vapor phases present at equilibrium; and (iii) the vertical distance traveled by the piston from the beginning to the end of the process. [Suggestion: Write an energy balance on the complete process, taking the cylinder contents to be the system. Note that the system is closed and that work is done by the system when it moves the piston through a vertical displacement. The magnitude of this work is W the change in system volume from the initial to the final state.] (c) Calculate an upper limit on the temperature attainable by the aluminum bar during the process, and state the condition that would have to apply for the bar to come close to this tempera- PAV, where P is the constant system pressure and AV is %3D ture.
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
Related questions
Question
![Q3)
A perfectly insulated cylinder fitted with a leakproof frictionless piston with a mass of 30.0 kg
and a face area of 400.0 cm? contains 7.0 kg of liquid water and a 3.0-kg bar of aluminum. The
aluminum bar has an electrical coil imbedded in it, so that known amounts of heat can be trans-
ferred to it. Aluminum has a specific gravity of 2.70 and a specific internal energy given by the
formula Û(kJ/kg) = 0.94T(°C). The internal energy of liquid water at any temperature may
be taken to be that of the saturated liquid at that temperature. Negligible heat is transferred to
the cylinder wall. Atmospheric pressure is 1.00 atm. The cylinder and its contents are initially at
20°C.
m30 kg
A-400 cm-
7 kg HO
3 kg Al
Suppose that 3310 kJ is transferred to the bar from the heating coil and the contents of the
cylinder are then allowed to equilibrate.
(a) Calculate the pressure of the cylinder contents throughout the process. Then determine whether
the amount of heat transferred to the system is sufficient to vaporize any of the water.
(b) Determine the following quantities: (i) the final system temperature; (ii) the volumes (cm³) of
the liquid and vapor phases present at equilibrium; and (iii) the vertical distance traveled by the
piston from the beginning to the end of the process. [Suggestion: Write an energy balance on the
complete process, taking the cylinder contents to be the system. Note that the system is closed
and that work is done by the system when it moves the piston through a vertical displacement.
The magnitude of this work is W = PAV, where P is the constant system pressure and AV is
the change in system volume from the initial to the final state.]
(c) Calculate an upper limit on the temperature attainable by the aluminum bar during the process,
and state the condition that would have to apply for the bar to come close to this tempera-
ture.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ffadbcb41-efad-4e39-a112-3812ff2d5573%2Fa080099d-4b4a-42a7-9e3c-5d82dd7b6fbc%2Feuohzye_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Q3)
A perfectly insulated cylinder fitted with a leakproof frictionless piston with a mass of 30.0 kg
and a face area of 400.0 cm? contains 7.0 kg of liquid water and a 3.0-kg bar of aluminum. The
aluminum bar has an electrical coil imbedded in it, so that known amounts of heat can be trans-
ferred to it. Aluminum has a specific gravity of 2.70 and a specific internal energy given by the
formula Û(kJ/kg) = 0.94T(°C). The internal energy of liquid water at any temperature may
be taken to be that of the saturated liquid at that temperature. Negligible heat is transferred to
the cylinder wall. Atmospheric pressure is 1.00 atm. The cylinder and its contents are initially at
20°C.
m30 kg
A-400 cm-
7 kg HO
3 kg Al
Suppose that 3310 kJ is transferred to the bar from the heating coil and the contents of the
cylinder are then allowed to equilibrate.
(a) Calculate the pressure of the cylinder contents throughout the process. Then determine whether
the amount of heat transferred to the system is sufficient to vaporize any of the water.
(b) Determine the following quantities: (i) the final system temperature; (ii) the volumes (cm³) of
the liquid and vapor phases present at equilibrium; and (iii) the vertical distance traveled by the
piston from the beginning to the end of the process. [Suggestion: Write an energy balance on the
complete process, taking the cylinder contents to be the system. Note that the system is closed
and that work is done by the system when it moves the piston through a vertical displacement.
The magnitude of this work is W = PAV, where P is the constant system pressure and AV is
the change in system volume from the initial to the final state.]
(c) Calculate an upper limit on the temperature attainable by the aluminum bar during the process,
and state the condition that would have to apply for the bar to come close to this tempera-
ture.
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