2. Calculate the thermal efficiency of the cycle. O.375 kƆ/kg 3. Calculate the maximum thermal efficiency of the cycle 4. Show the state points and process lines for the maximum efficiency (ideal) cycle on your property diagram. 5. Is the cycle possible or impossible? Why?

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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Please answer questions 3, 4 and 5.

The image depicts a pressure-enthalpy (P-h) diagram for water (R-718), used to determine various thermodynamic properties. Here's a detailed explanation and transcription of the diagram:

---

**Title:** Problem 2

**Diagram:** Pressure-Enthalpy Diagram for Water (R-718)

- **Axes:**
  - The vertical axis represents Pressure in MPa (megapascals), ranging from 0.0004 MPa to 100 MPa.
  - The horizontal axis represents Enthalpy in kJ/kg (kilojoules per kilogram), ranging from -200 kJ/kg to 3800 kJ/kg.

- **Lines:**
  - **Isotherms:** These are lines of constant temperature labeled at various intervals (20°C, 40°C, 60°C, etc.).
  - **Quality Lines (x):** These lines represent the quality of vapor (from 0 to 1) in the mixture phase region.
  - **Saturated Liquid/Vapor Lines:** Curve outlines representing the boundary between liquid, vapor, and mixture phases.
  - **Isobars:** Lines of constant pressure.

- **Regions:**
  - **Solid-Vapor Region:** Identified between -200 kJ/kg and approximately 600 kJ/kg at low pressures.
  - **Mixture Region:** Area enclosed by the saturated liquid and vapor lines.
  - **Superheated Vapor Region:** Area to the right of the saturated vapor line.
  - **Compressed Liquid Region:** Area to the left of the saturated liquid line.

- **Critical Point and Triple Point:**
  - The critical point is marked where the saturated liquid and vapor lines converge.
  - The triple point is specified at 0.01°C and is indicated on the diagram.

- **Reference State:**
  - Enthalpy (h) = 0 kJ/kg at 0.01°C for saturated liquid.

- **Computation:**
  - The properties are computed using NIST REFPROP version 7.0.

- **Formulation Reference:**
  - Based on the formulation of Wagner and Pruß (2002).

---

This diagram is essential in thermodynamics for understanding the behavior of water under different pressure and enthalpy conditions, such as in HVAC systems, power plants, and refrigeration cycles.
Transcribed Image Text:The image depicts a pressure-enthalpy (P-h) diagram for water (R-718), used to determine various thermodynamic properties. Here's a detailed explanation and transcription of the diagram: --- **Title:** Problem 2 **Diagram:** Pressure-Enthalpy Diagram for Water (R-718) - **Axes:** - The vertical axis represents Pressure in MPa (megapascals), ranging from 0.0004 MPa to 100 MPa. - The horizontal axis represents Enthalpy in kJ/kg (kilojoules per kilogram), ranging from -200 kJ/kg to 3800 kJ/kg. - **Lines:** - **Isotherms:** These are lines of constant temperature labeled at various intervals (20°C, 40°C, 60°C, etc.). - **Quality Lines (x):** These lines represent the quality of vapor (from 0 to 1) in the mixture phase region. - **Saturated Liquid/Vapor Lines:** Curve outlines representing the boundary between liquid, vapor, and mixture phases. - **Isobars:** Lines of constant pressure. - **Regions:** - **Solid-Vapor Region:** Identified between -200 kJ/kg and approximately 600 kJ/kg at low pressures. - **Mixture Region:** Area enclosed by the saturated liquid and vapor lines. - **Superheated Vapor Region:** Area to the right of the saturated vapor line. - **Compressed Liquid Region:** Area to the left of the saturated liquid line. - **Critical Point and Triple Point:** - The critical point is marked where the saturated liquid and vapor lines converge. - The triple point is specified at 0.01°C and is indicated on the diagram. - **Reference State:** - Enthalpy (h) = 0 kJ/kg at 0.01°C for saturated liquid. - **Computation:** - The properties are computed using NIST REFPROP version 7.0. - **Formulation Reference:** - Based on the formulation of Wagner and Pruß (2002). --- This diagram is essential in thermodynamics for understanding the behavior of water under different pressure and enthalpy conditions, such as in HVAC systems, power plants, and refrigeration cycles.
**Problem 2**

*Given the following properties and processes for a steam heat engine cycle with \(\dot{M}_{cycle}=12 \, \text{kg/s}\):*

| State point | P (MPa) | T (°C) | Quality | h (kJ/kg) | s (kJ/kg-K) | Process                       |
|-------------|---------|--------|---------|-----------|-------------|-------------------------------|
| 1           | 6       | 500    | N/A     | 3425      | 6.852       |                               |
| 2           | 0.01    | 45     | 0.83    | 2200      | 6.852       | Isentropic                    |
| 3           | 0.01    | 40     | N/A     | 170       | 0.6         | Isobaric from 2-3             |
| 4           | 7.5     | 42     | N/A     | 200       | 0.6         | Isentropic from 3-4           |
| 5           | 7       | 35     | N/A     | 150       | 0.5         |                               |
| 6           | 7       | 500    | N/A     | 3400      | 6.8         |                               |

1. **Show state points and process lines on a property diagram.**

2. **Calculate the thermal efficiency of the cycle. \(0.375 \, \text{kJ/kg}\)**

3. **Calculate the maximum thermal efficiency of the cycle.**

4. **Show the state points and process lines for the maximum efficiency (ideal) cycle on your property diagram.**

5. **Is the cycle possible or impossible? Why?**
Transcribed Image Text:**Problem 2** *Given the following properties and processes for a steam heat engine cycle with \(\dot{M}_{cycle}=12 \, \text{kg/s}\):* | State point | P (MPa) | T (°C) | Quality | h (kJ/kg) | s (kJ/kg-K) | Process | |-------------|---------|--------|---------|-----------|-------------|-------------------------------| | 1 | 6 | 500 | N/A | 3425 | 6.852 | | | 2 | 0.01 | 45 | 0.83 | 2200 | 6.852 | Isentropic | | 3 | 0.01 | 40 | N/A | 170 | 0.6 | Isobaric from 2-3 | | 4 | 7.5 | 42 | N/A | 200 | 0.6 | Isentropic from 3-4 | | 5 | 7 | 35 | N/A | 150 | 0.5 | | | 6 | 7 | 500 | N/A | 3400 | 6.8 | | 1. **Show state points and process lines on a property diagram.** 2. **Calculate the thermal efficiency of the cycle. \(0.375 \, \text{kJ/kg}\)** 3. **Calculate the maximum thermal efficiency of the cycle.** 4. **Show the state points and process lines for the maximum efficiency (ideal) cycle on your property diagram.** 5. **Is the cycle possible or impossible? Why?**
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