The volume of the propane tank,
The atmospheric temperature,
The pressure after leak out,
The post Liquid propane is commonly used as a fuel for heating homes, powering vehicles such as forklifts, and filling portable picnic tanks. Consider a propane tank that initially contains 5 L of liquid propane at the environment temperature of 20°C. If a hole develops in the connecting tube of a propane tank and the propane starts to leak out, determine the temperature of propane when the pressure in the tank drops to 1 atm. Also, determine the total amount of heat transfer from the environment to the tank to vaporize the entire propane in the tank. appeared first on the free answer.
]]>Liquid propane is commonly used as a fuel for heating homes, powering vehicles such as forklifts, and filling portable picnic tanks. Consider a propane tank that initially contains 5 L of liquid propane at the environment temperature of 20°C. If a hole develops in the connecting tube of a propane tank and the propane starts to leak out, determine the temperature of propane when the pressure in the tank drops to 1 atm. Also, determine the total amount of heat transfer from the environment to the tank to vaporize the entire propane in the tank.
Answer:
The volume of the propane tank,
The atmospheric temperature,
The pressure after leak out,
Find the density, latent heat of vaporization and saturation temperature of propane from the properties of common liquids, solids, and foods table at pressure:
Density,
Latent heat of vaporization,
Saturation temperature,
Therefore, the temperature of propane when the pressure drops tois
Find the initial mass of liquid propane,
Substitute, for and for V.
Find the heat transfer using the equation:
Substitute, 2.905 kg for m and for .
Therefore, the heat transfer by the propane from the environment to the tank to vaporize completely is
The post Liquid propane is commonly used as a fuel for heating homes, powering vehicles such as forklifts, and filling portable picnic tanks. Consider a propane tank that initially contains 5 L of liquid propane at the environment temperature of 20°C. If a hole develops in the connecting tube of a propane tank and the propane starts to leak out, determine the temperature of propane when the pressure in the tank drops to 1 atm. Also, determine the total amount of heat transfer from the environment to the tank to vaporize the entire propane in the tank. appeared first on the free answer.
]]>The post Reconsider Prob. 3–129. Using EES (or other) S9 software, investigate the effect of the initial pressure of refrigerant-134a on the volume of the tank. Let the initial pressure vary from 0.5 to 1.5 MPa. Plot the volume of the tank versus the initial pressure, and discuss the results. appeared first on the free answer.
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Answer:
4672-3-130E SA 0261
The problem is solved using EES, and the solution is given below.
“Given Data”
“Solution”
500 | 2.1132 | 37.21 |
600 | 2.08 | 36.6 |
700 | 2.043 | 36 |
800 | 2.016 | 35.49 |
900 | 1.985 | 34.95 |
1000 | 1.96 | 34.47 |
1100 | 1.931 | 34 |
1200 | 1.91 | 33.58 |
1300 | 1.884 | 33.17 |
1400 | 1.86 | 32.73 |
1500 | 1.835 | 32.3 |
The post Reconsider Prob. 3–129. Using EES (or other) S9 software, investigate the effect of the initial pressure of refrigerant-134a on the volume of the tank. Let the initial pressure vary from 0.5 to 1.5 MPa. Plot the volume of the tank versus the initial pressure, and discuss the results. appeared first on the free answer.
]]>The post A tank whose volume is unknown is divided into two parts by a partition. One side of the tank contains 0.03 m3 of refrigerant-134a that is a saturated liquid at 1.2 MPa, while the other side is evacuated. The partition is now removed, and the refrigerant fills the entire tank. If the final state of the refrigerant is 30°C and 400 kPa, determine the volume of the tank. appeared first on the free answer.
]]>A tank whose volume is unknown is divided into two parts by a partition. One side of the tank contains 0.03 m3 of refrigerant-134a that is a saturated liquid at 1.2 MPa, while the other side is evacuated. The partition is now removed, and the refrigerant fills the entire tank. If the final state of the refrigerant is 30°C and 400 kPa, determine the volume of the tank.
Answer:
Given
Volume of the refrigerant occupied in the tank
Refrigerant occupied as saturated liquid at pressure
Final state of the refrigerant at temperature
Final state of the refrigerant at pressure
At from R-134a saturated tables
The mass of the refrigerant contained in the tank is
At the final state and from superheated R-134a tables
Since mass of R-134a remains constant
The post A tank whose volume is unknown is divided into two parts by a partition. One side of the tank contains 0.03 m3 of refrigerant-134a that is a saturated liquid at 1.2 MPa, while the other side is evacuated. The partition is now removed, and the refrigerant fills the entire tank. If the final state of the refrigerant is 30°C and 400 kPa, determine the volume of the tank. appeared first on the free answer.
]]>The post Steam at 400°C has a specific volume of 0.02 m3/kg. Determine the pressure of the steam based on (a) the ideal-gas equation, (b) the generalized compressibility chart, and (c) the steam tables. appeared first on the free answer.
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Answer:
Given data:
The temperature of steam,
The specific volume of steam,
From the property tables, the properties of water:
Gas constant,
Critical temperature,
Critical pressure,
(a)
By using ideal gas equation, we get
The pressure of steam,
(b)
From the compressibility chart, we have
Reduced temperature,
Pseudo reduced volume,
From compressibility chart at reduced pressure and pseudo reduced volume, the value of reduced pressure,
By using formula for pressure of steam, we get
Therefore, the pressure of steam by using compressibility chart,
(c)
From super heated water tables,
At temperature and volume, the value of pressure is
At temperature and volume, the value of pressure is
By using interpolation, at temperature and volume, the value of pressure is calculated as follows
Therefore, the pressure of steam by using super heated water tables,
The post Steam at 400°C has a specific volume of 0.02 m3/kg. Determine the pressure of the steam based on (a) the ideal-gas equation, (b) the generalized compressibility chart, and (c) the steam tables. appeared first on the free answer.
]]>The post The gage pressure of an automobile tire is measured to be 200 kPa before a trip and 220 kPa after the trip at a location where the atmospheric pressure is 90 kPa. Assuming the volume of the tire remains constant at 0.035 m3, determine the percent increase in the absolute temperature of the air in the tire. appeared first on the free answer.
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Answer:
Calculate the absolute pressure of an automobile tire before trip as follows:
Here, the gage pressure of an automobile tire before trip is and the atmospheric pressure is .
Substitute for and for .
Calculate the absolute pressure of an automobile tire after trip as follows:
Here, the gage pressure of an automobile tire before trip is .
Substitute for and for .
Using ideal gas law, obtain the following relation:
Since the volume is constant.
Substitute for and for .
Calculate the percentage increase in absolute temperature of the air in the tire as follows:
Therefore, the percentage increase in absolute temperature of the air in the tire is .
The post The gage pressure of an automobile tire is measured to be 200 kPa before a trip and 220 kPa after the trip at a location where the atmospheric pressure is 90 kPa. Assuming the volume of the tire remains constant at 0.035 m3, determine the percent increase in the absolute temperature of the air in the tire. appeared first on the free answer.
]]>The post A 4-L rigid tank contains 2 kg of saturated liquid–vapor mixture of water at 50°C. The water is now slowly heated until it exists in a single phase. At the final state, will the water be in the liquid phase or the vapor phase? What would your answer be if the volume of the tank were 400 L instead of 4 L? appeared first on the free answer.
]]>A 4-L rigid tank contains 2 kg of saturated liquid–vapor mixture of water at 50°C. The water is now slowly heated until it exists in a single phase. At the final state, will the water be in the liquid phase or the vapor phase? What would your answer be if the volume of the tank were 400 L instead of 4 L?
Answer:
The water is heated in rigid tank and the volume is constant after the heating process.
Therefore, the heating process is a constant volume process ().
Thus the final specific volume of mixture,, is equal to initial specific volume .
Obtain the critical specific volume of water from table A-1, “The critical-point properties table”.
If the final specific volume of water is less than the critical specific volume, then the water is in liquid state, otherwise the water is in vapor state.
Find the specific volume of the tank volume.
Here, m is mass of liquid-vapor mixture of water, V is the total volume.
Substitute 2 kg for m and for V.
Therefore, the water will exist in liquid state.
If the rigid tank volume is considered as, then calculate the specific volume of tank by using the following equation:
Substitute 2 kg for m and for V.
Therefore, the water will exist in vapor state.
The post A 4-L rigid tank contains 2 kg of saturated liquid–vapor mixture of water at 50°C. The water is now slowly heated until it exists in a single phase. At the final state, will the water be in the liquid phase or the vapor phase? What would your answer be if the volume of the tank were 400 L instead of 4 L? appeared first on the free answer.
]]>The post A 20-m3 tank contains nitrogen at 23°C and 600 kPa. Some nitrogen is allowed to escape until the pressure in the tank drops to 400 kPa. If the temperature at this pdint is 20°C, determine the amount of nitrogen that has escaped. appeared first on the free answer.
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Answer:
Given data:
Volume of the tank
Initial temperature of nitrogen
Initial pressure of the nitrogen
Final pressure of the nitrogen
Final temperature of the nitrogen
From the ideal gas equation
For the initial conditions and
For the final condition and
By the mass balance equation
Amount of nitrogen escaped from the tank,
Therefore, the amount of nitrogen escaped from the tank,
The post A 20-m3 tank contains nitrogen at 23°C and 600 kPa. Some nitrogen is allowed to escape until the pressure in the tank drops to 400 kPa. If the temperature at this pdint is 20°C, determine the amount of nitrogen that has escaped. appeared first on the free answer.
]]>The post Ethane at 10 MPa and 100°C is heated at constant pressure until its volume has increased by 60 percent. Determine the final temperature using (a) the ideal gas equation of state and (b) the compressibility factor. Which of these two results is the more accurate? appeared first on the free answer.
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Answer:
(a)
Calculate the final temperature of the gas using the ideal gas equation of state.
For a constant pressure process,
Here, the initial temperature of the gas is , the initial volume of the gas is , the final volume of the gas is , and the final temperature of the gas is .
After the heat addition process, the volume increases by . Therefore, the final volume of the gas after heat addition process is given by the relation:
Substitute for and for .
Therefore, the final temperature of ethane gas is .
(b)
Calculate the final temperature of the gas using the compressibility factor.
Consider the following properties of ethane from TABLE A-1 “Molar mass, gas constant, and critical-point properties” of the textbook.
Critical temperature,
Critical pressure, Gas constant,
Calculate the reduced pressure at the initial state using the following relation:
Here, the initial pressure of the gas is .
Substitute for and for .
Calculate the reduced temperature at the initial state using the following relation:
Substitute for and for .
Obtain the value of compressibility factor from FIGURE A-15 “Nelson- Obert generalized compressibility chart” of the textbook.
At and ,
Compressibility factor,
Reduced volume,
Calculate the reduced pressure at the final state.
Since the pressure remains constant during the heat addition process.
Therefore,
Calculate the reduced volume at the final state using the following relation:
Since, the volume increases by during the heat addition process.
Therefore, the reduced volume at the final state is given by the relation:
Substitute for .
Obtain the value of compressibility factor from FIGURE A-15 “Nelson- Obert generalized compressibility chart” of the textbook.
At and ,
Compressibility factor,
Here, the final pressure of the gas is .
Write the expression for Pseudo-reduced specific volume as follows:
Substitute for in equation (1).
Substitute for , for , for , for , for .
Therefore, the final temperature of ethane gas is .
Extracting the error associated with the chart reading, temperature found by the compressibility chart is more accurate.
The post Ethane at 10 MPa and 100°C is heated at constant pressure until its volume has increased by 60 percent. Determine the final temperature using (a) the ideal gas equation of state and (b) the compressibility factor. Which of these two results is the more accurate? appeared first on the free answer.
]]>The post One pound-mass of water fills a 2.649 ft3 weighted piston-cylinder device at a temperature of 400°F. The piston-cylinder device is now cooled until its temperature is 100°F. Determine the final pressure and volume of the water. appeared first on the free answer.
]]>One pound-mass of water fills a 2.649 ft3 weighted piston-cylinder device at a temperature of 400°F. The piston-cylinder device is now cooled until its temperature is 100°F. Determine the final pressure and volume of the water.
Answer:
Calculate the initial specific volume of the water using the following relation:
Here, is the initial specific volume of the water, is the initial volume of the water, and is the mass of the water.
Substitute for , and for .
Obtain the initial pressure of the water at specific volume and from table A-4E “Superheated water” in the text book.
Initial pressure of the water,
Identify that the weight of the piston on the water is constant throughout the process. Hence, the process is constant pressure process.
Therefore, the final pressure of the water in the piston cylinder device, is .
Identify the fact that for practical purposes the water can be taken as incompressible fluid.
So the value of the specific volume of the liquid water at pressure, and may be approximated as the value of the specific volume of the liquid water at .
Obtain the specific volume of the liquid water at from the table A-4E “Saturated water –temperature table”.
Specific volume of the liquid water,
Calculate the final volume of the water in the device:
Substitute for , and for .
Therefore, volume of the water after the cooling process, .
The post One pound-mass of water fills a 2.649 ft3 weighted piston-cylinder device at a temperature of 400°F. The piston-cylinder device is now cooled until its temperature is 100°F. Determine the final pressure and volume of the water. appeared first on the free answer.
]]>The post One kilogram of R-134a fills a 0.090 m3 rigid container at an initial temperature of −40°C. The container is then heated until the pressure is 280 kPa. Determine the initial pressure and final temperature. Answers:51.25 kPa, 50°C appeared first on the free answer.
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Answer:
Given
Mass of R-134a
Volume of the rigid container
Initial temperature
Final pressure
Specific volume
At from saturated R-134a tables
Therefore the state is in liquid and vapor mixture
Then initial pressure will be the saturation pressure at temperature from saturated R-134a tables
Since the process is constant volume
At and from superheated R-134a tables
Therefore the final temperature is
The post One kilogram of R-134a fills a 0.090 m3 rigid container at an initial temperature of −40°C. The container is then heated until the pressure is 280 kPa. Determine the initial pressure and final temperature. Answers:51.25 kPa, 50°C appeared first on the free answer.
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