An ideal free piston-cylinder with an initial volume of 0.5500 m3contains 19.00 kg of refrigerant R-134a at an initial pressure of 400.0kPa. The device is filled with R134a from a source at 40.00°C and1.000 MPa until there is 800.0 kg of saturated liquid refrigerant R134ain the piston-cylinder device. The tank is well insulated, and no heattransfer to the ambient air at 30.00°C occurs during the process. Duringthe charging process, a refrigerator with COPR = 1.900 extracts heatfrom the refrigerant R-134a in the piston-cylinder device such that thecharging process occurs in an isothermal manner (constanttemperature).i) Determine the initial state and temperature of the R-134a (in °C).ii) Determine the boundary work done during the process (in kJ).iii) Determine the amount of energy (in kJ) and the cost (in $) therefrigerator consumes to maintain the process to be isothermal.Assume electrical energy costs $0.35 /kW.hr.iv) It is claimed that a refrigerator could supply the required coolingusing only $1.05 worth of electricity. Evaluate if this claimviolates the second law of thermodynamics by considering if anideal (perfectly reversible) Carnot refrigerator was used.v) Show the charging process on T-v and P-v diagrams. An ideal free piston-cylinder with an initial volume of 0.5500 m³contains 19.00 kg of refrigerant R-134a at an initial pressure of 400.0kPa. The device is filled with R134a from a source at 40.00°C and1.000 MPa until there is 800.0 kg of saturated liquid refrigerant R134ain the piston-cylinder device. The tank is well insulated, and no heattransfer to the ambient air at 30.00°C occurs during the process. Duringthe charging process, a refrigerator with COPR = 1.900 extracts heatfrom the refrigerant R-134a in the piston-cylinder device such that thecharging process occursoccurs in an isothermal manner (constanttemperature).i) Determine the initial state and temperature of the R-134a (in °C).ii) Determine the boundary work done during the process (in kJ).iii) Determine the amount of energy (in kJ) and the cost (in $) therefrigerator consumes to maintain the process to be isothermal.Assume electrical energy costs $0.35/kW.hr.iv) It is claimed that a refrigerator could supply the required coolingusing only $1.05 worth of electricity. Evaluate if this claimviolates the second law of thermodynamics by considering if anideal (perfectly reversible) Carnot refrigerator was used.v) Show the charging process on T-v and P-v diagrams.

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An ideal free piston-cylinder with an initial volume of 0.5500 m³ contains 19.00 kg of refrigerant R-134a at an initial pressure of 400.0 kPa. The device is filled with R134a from a source at 40.00°C and 1.000 MPa until there is 800.0 kg of saturated liquid refrigerant R134a in the piston-cylinder device. The tank is well insulated, and no heat transfer to the ambient air at 30.00°C occurs during the process. During the charging process, a refrigerator with COPR = 1.900 extracts heat from the refrigerant R-134a in the piston-cylinder device such that the charging process occurs in an isothermal manner (constant temperature). i) Determine the initial state and temperature of the R-134a (in °C). ii) Determine the boundary work done during the process (in kJ). iii) Determine the amount of energy (in kJ) and the cost (in $) the refrigerator consumes to maintain the process to be isothermal. Assume electrical energy costs $0.35/kW.hr. iv) It is claimed that a refrigerator could supply the required cooling using only $1.05 worth of electricity. Evaluate if this claim violates the second law of thermodynamics by considering if an ideal (perfectly reversible) Carnot refrigerator was used. v) Show the charging process on T-v and P-v diagrams.

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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An ideal free piston-cylinder with an initial volume of 0.5500 m3
contains 19.00 kg of refrigerant R-134a at an initial pressure of 400.0
kPa. The device is filled with R134a from a source at 40.00°C and
1.000 MPa until there is 800.0 kg of saturated liquid refrigerant R134a
in the piston-cylinder device. The tank is well insulated, and no heat
transfer to the ambient air at 30.00°C occurs during the process. During
the charging process, a refrigerator with COPR = 1.900 extracts heat
from the refrigerant R-134a in the piston-cylinder device such that the
charging process occurs in an isothermal manner (constant
temperature).
i) Determine the initial state and temperature of the R-134a (in °C).
ii) Determine the boundary work done during the process (in kJ).
iii) Determine the amount of energy (in kJ) and the cost (in $) the
refrigerator consumes to maintain the process to be isothermal.
Assume electrical energy costs $0.35 /kW.hr.
iv) It is claimed that a refrigerator could supply the required cooling
using only $1.05 worth of electricity. Evaluate if this claim
violates the second law of thermodynamics by considering if an
ideal (perfectly reversible) Carnot refrigerator was used.
v) Show the charging process on T-v and P-v diagrams.

An ideal free piston-cylinder with an initial volume of 0.5500 m³
contains 19.00 kg of refrigerant R-134a at an initial pressure of 400.0
kPa. The device is filled with R134a from a source at 40.00°C and
1.000 MPa until there is 800.0 kg of saturated liquid refrigerant R134a
in the piston-cylinder device. The tank is well insulated, and no heat
transfer to the ambient air at 30.00°C occurs during the process. During
the charging process, a refrigerator with COPR = 1.900 extracts heat
from the refrigerant R-134a in the piston-cylinder device such that the
charging process occurs
occurs in an isothermal manner (constant
temperature).
i) Determine the initial state and temperature of the R-134a (in °C).
ii) Determine the boundary work done during the process (in kJ).
iii) Determine the amount of energy (in kJ) and the cost (in $) the
refrigerator consumes to maintain the process to be isothermal.
Assume electrical energy costs $0.35/kW.hr.
iv) It is claimed that a refrigerator could supply the required cooling
using only $1.05 worth of electricity. Evaluate if this claim
violates the second law of thermodynamics by considering if an
ideal (perfectly reversible) Carnot refrigerator was used.
v) Show the charging process on T-v and P-v diagrams.

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