**Problem Description:**Consider a system with 3 kg of water initially at 300 kPa and 200 degrees Celsius (state 1), supporting a free-floating piston. Heat is removed from the water until the piston reaches a set of stops (state 2), at which point the water occupies half its initial volume. The system of water continues to lose heat until it reaches a final temperature of 100 degrees Celsius (state 3).Determine the following:(a) Determine the work done between states 1 and 2.(b) Determine the work done between states 2 and 3.(c) Determine the net heat transfer from states 1 to 3.**Explanation:**1. **Initial State (state 1):** - Mass of water: 3 kg - Pressure: 300 kPa - Temperature: 200 degrees Celsius2. **Intermediate State (state 2):** - The system undergoes cooling until the piston reaches a set of stops. - At this point, the volume is half of the initial volume. 3. **Final State (state 3):** - The system continues to lose heat until it reaches a temperature of 100 degrees Celsius.To address the questions:- **(a) Work done between states 1 and 2:** You need to calculate the work associated with volume change as the piston moves. Use the appropriate thermodynamic equations and the properties of water to find the work done during this process.- **(b) Work done between states 2 and 3:** Since the piston is at the stops, there is no volume change, implying that the work done is zero in this process.- **(c) Net heat transfer from states 1 to 3:** By considering the first law of thermodynamics and the properties of water, calculate the net heat transfer from state 1 to state 3.This problem involves principles of thermodynamics, specifically the first law of thermodynamics and properties of water in different states (liquid, vapor, or a mixture of both). Ensure you have access to the relevant thermodynamic tables or software to find the required properties of water at different states for precise calculations.

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3 kg of water, initially at 300 kPa and 200 degrees Celsius (state 1), supports a free floating piston. Heat is removed from the water until the piston reaches on a set of stops (state 2), at which point the water occupies half its initial volume. The system of water continues to lose heat until it reaches a final temperature of 100 degrees Celsius (state 3). Determine the following: (a) Determine the work done between states 1 and 2. (b) Determine the work done between states 2 and 3. (c) Determine the net heat transfer from states 1 to 3.

3 kg of water, initially at 300 kPa and 200 degrees Celsius (state 1), supports a free floating piston. Heat is removed from the water until the piston reaches on a set of stops (state 2), at which point the water occupies half its initial volume. The system of water continues to lose heat until it reaches a final temperature of 100 degrees Celsius (state 3). Determine the following: (a) Determine the work done between states 1 and 2. (b) Determine the work done between states 2 and 3. (c) Determine the net heat transfer from states 1 to 3.

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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Question

**Problem Description:**

Consider a system with 3 kg of water initially at 300 kPa and 200 degrees Celsius (state 1), supporting a free-floating piston. Heat is removed from the water until the piston reaches a set of stops (state 2), at which point the water occupies half its initial volume. The system of water continues to lose heat until it reaches a final temperature of 100 degrees Celsius (state 3).

Determine the following:

(a) Determine the work done between states 1 and 2.
(b) Determine the work done between states 2 and 3.
(c) Determine the net heat transfer from states 1 to 3.

**Explanation:**

1. **Initial State (state 1):**
- Mass of water: 3 kg
- Pressure: 300 kPa
- Temperature: 200 degrees Celsius

2. **Intermediate State (state 2):**
- The system undergoes cooling until the piston reaches a set of stops.
- At this point, the volume is half of the initial volume.

3. **Final State (state 3):**
- The system continues to lose heat until it reaches a temperature of 100 degrees Celsius.

To address the questions:

- **(a) Work done between states 1 and 2:** You need to calculate the work associated with volume change as the piston moves. Use the appropriate thermodynamic equations and the properties of water to find the work done during this process.

- **(b) Work done between states 2 and 3:** Since the piston is at the stops, there is no volume change, implying that the work done is zero in this process.

- **(c) Net heat transfer from states 1 to 3:** By considering the first law of thermodynamics and the properties of water, calculate the net heat transfer from state 1 to state 3.

This problem involves principles of thermodynamics, specifically the first law of thermodynamics and properties of water in different states (liquid, vapor, or a mixture of both). Ensure you have access to the relevant thermodynamic tables or software to find the required properties of water at different states for precise calculations.

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