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An insulated, rigid tank whose volume is 0.5 m³ is connected by a valve to a large vessel holding steam at 40 bar, 480°C. The tank is initially evacuated. The valve is opened only as long as required to fill the tank with steam to a pressure of 20 bar. Determine: (a) the final temperature of the steam in the tank, in °C, the final mass of the steam in the tank, in kg, and (b) the amount of entropy produced, in kJ/K.

An insulated, rigid tank whose volume is 0.5 m³ is connected by a valve to a large vessel holding steam at 40 bar, 480°C. The tank is initially evacuated. The valve is opened only as long as required to fill the tank with steam to a pressure of 20 bar. Determine: (a) the final temperature of the steam in the tank, in °C, the final mass of the steam in the tank, in kg, and (b) the amount of entropy produced, in kJ/K.

Elements Of Electromagnetics
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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Thermodynamics, please help with part 2 and show all work
### Thermodynamics Problem Analysis **Scenario:** An insulated, rigid tank with a volume of 0.5 m³ is connected by a valve to a large vessel holding steam at 40 bar, 480°C. Initially, the tank is evacuated. The valve is opened just long enough to fill the tank with steam to a pressure of 20 bar. **Tasks:** Determine the following: 1. The final temperature of the steam in the tank (in °C). 2. The final mass of the steam in the tank (in kg). 3. The amount of entropy produced (in kJ/K). #### Part A **Given Solution:** - Final Temperature (\(T_2\)): \(660.25 \, \text{°C}\) - Final Mass (\(m_2\)): \(2.338 \, \text{kg}\) *Note: The validation indicates that the provided answers are correct.* #### Detailed Solution Explanation - **Final Temperature** (\(T_2\)): This is the temperature of the steam once the process has reached equilibrium after filling the tank to 20 bar pressure. The temperature is found to be 660.25°C. - **Final Mass** of the steam (\(m_2\)): This is the total mass of the steam within the tank once it has reached the 20 bar pressure. The calculated mass is 2.338 kg. - **Graphical and Numerical Display (if any):** There are no graphs or numerical visualizations provided in this transcription. The results are displayed in stationary fields that are part of an educational exercise interface, indicating attempt tracking (1 of 3 attempts used). #### Further Steps (b) The problem hint indicates there may be a Part B concerning the entropy produced in the system. However, details for this part are not included within this image's contents. **Educational Note:** The given scenario is a typical problem in thermodynamics, often used to teach concepts related to the first law of thermodynamics, states of matter, and entropy changes in closed systems. --- Ensure students have access to necessary thermodynamic tables and equations, such as steam tables for accurate calculation and understanding of processes involving changes in pressure, temperature, and volume.
Transcribed Image Text:### Thermodynamics Problem Analysis **Scenario:** An insulated, rigid tank with a volume of 0.5 m³ is connected by a valve to a large vessel holding steam at 40 bar, 480°C. Initially, the tank is evacuated. The valve is opened just long enough to fill the tank with steam to a pressure of 20 bar. **Tasks:** Determine the following: 1. The final temperature of the steam in the tank (in °C). 2. The final mass of the steam in the tank (in kg). 3. The amount of entropy produced (in kJ/K). #### Part A **Given Solution:** - Final Temperature (\(T_2\)): \(660.25 \, \text{°C}\) - Final Mass (\(m_2\)): \(2.338 \, \text{kg}\) *Note: The validation indicates that the provided answers are correct.* #### Detailed Solution Explanation - **Final Temperature** (\(T_2\)): This is the temperature of the steam once the process has reached equilibrium after filling the tank to 20 bar pressure. The temperature is found to be 660.25°C. - **Final Mass** of the steam (\(m_2\)): This is the total mass of the steam within the tank once it has reached the 20 bar pressure. The calculated mass is 2.338 kg. - **Graphical and Numerical Display (if any):** There are no graphs or numerical visualizations provided in this transcription. The results are displayed in stationary fields that are part of an educational exercise interface, indicating attempt tracking (1 of 3 attempts used). #### Further Steps (b) The problem hint indicates there may be a Part B concerning the entropy produced in the system. However, details for this part are not included within this image's contents. **Educational Note:** The given scenario is a typical problem in thermodynamics, often used to teach concepts related to the first law of thermodynamics, states of matter, and entropy changes in closed systems. --- Ensure students have access to necessary thermodynamic tables and equations, such as steam tables for accurate calculation and understanding of processes involving changes in pressure, temperature, and volume.
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