Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN: 9780190698614
Author: Sadiku, Matthew N. O.
Publisher: Oxford University Press
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I need help with parts b and c (see images). This is the complete question and not a writing assignment. Make sure for this problem you list the following:

a. Known: State briefly what is known about the problem.

b. Schematic: Draw a schematic of the physical system or control volume.

c. Assumptions: List all necessary assumptions used to complete the problem.

d. Properties: Identify the source of property values not given to you in the problem.

e. Find: State what must be found.

f. Analysis: Start your analysis with any necessary equations. Develop your analysis as completely as possible before inserting values and performing the calculations. Draw a box around your answers and include units and follow an appropriate number of significant figures.

**Thermodynamic Properties and Phase Diagrams**

*Exercise:*

Complete the list of properties (P, T, v, u, h, s, and x) from what is given and show the location of the states relative to a generic liquid-vapor saturation curve on **P-v** and **T-v** diagrams for the following cases:

a) **Water at 15 MPa, \( s = 2.334 \) kJ/(K·kg)**  
- Determine all other properties (T, v, u, h, x) and plot the state on the P-v and T-v diagrams relative to the saturation line.

b) **Ammonia at 32°C, \( h = 1089 \) kJ/kg**  
- Determine all other properties (P, T, v, u, s, x) and plot the state on the P-v and T-v diagrams relative to the saturation line.

c) **Propane at 76°C, 800 kPa**  
- Determine all other properties (v, u, h, s, x) and plot the state on the P-v and T-v diagrams relative to the saturation line.

*Explanation of Diagrams:*

1. **P-v Diagram**: 
   - The Pressure-Volume (P-v) diagram displays the relationship between pressure and specific volume at various states of a substance.
   - The saturation line on the P-v diagram demarcates the boundary between the liquid, vapor, and mixed-phase regions. To locate a state point, one needs to determine if the given conditions fall in the sub-cooled liquid region, saturated mixture region, or superheated vapor region.

2. **T-v Diagram**: 
   - The Temperature-Volume (T-v) diagram shows the relationship between temperature and specific volume.
   - As with the P-v diagram, the saturation curve indicates the coexistence of liquid and vapor phases. States can be plotted based on whether they fall in the sub-cooled liquid region, saturation region, or superheated vapor region.

**Steps to Solve:**

1. **Identify the state properties from given data**: Use tables or charts for each specific substance (water, ammonia, propane) to find unknown properties.
2. **Compare with saturation properties**: Consult the thermodynamic tables or diagrams for saturation properties at given pressures and temperatures to identify the state (subcooled, saturated, or superheated).
3. **
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Transcribed Image Text:**Thermodynamic Properties and Phase Diagrams** *Exercise:* Complete the list of properties (P, T, v, u, h, s, and x) from what is given and show the location of the states relative to a generic liquid-vapor saturation curve on **P-v** and **T-v** diagrams for the following cases: a) **Water at 15 MPa, \( s = 2.334 \) kJ/(K·kg)** - Determine all other properties (T, v, u, h, x) and plot the state on the P-v and T-v diagrams relative to the saturation line. b) **Ammonia at 32°C, \( h = 1089 \) kJ/kg** - Determine all other properties (P, T, v, u, s, x) and plot the state on the P-v and T-v diagrams relative to the saturation line. c) **Propane at 76°C, 800 kPa** - Determine all other properties (v, u, h, s, x) and plot the state on the P-v and T-v diagrams relative to the saturation line. *Explanation of Diagrams:* 1. **P-v Diagram**: - The Pressure-Volume (P-v) diagram displays the relationship between pressure and specific volume at various states of a substance. - The saturation line on the P-v diagram demarcates the boundary between the liquid, vapor, and mixed-phase regions. To locate a state point, one needs to determine if the given conditions fall in the sub-cooled liquid region, saturated mixture region, or superheated vapor region. 2. **T-v Diagram**: - The Temperature-Volume (T-v) diagram shows the relationship between temperature and specific volume. - As with the P-v diagram, the saturation curve indicates the coexistence of liquid and vapor phases. States can be plotted based on whether they fall in the sub-cooled liquid region, saturation region, or superheated vapor region. **Steps to Solve:** 1. **Identify the state properties from given data**: Use tables or charts for each specific substance (water, ammonia, propane) to find unknown properties. 2. **Compare with saturation properties**: Consult the thermodynamic tables or diagrams for saturation properties at given pressures and temperatures to identify the state (subcooled, saturated, or superheated). 3. **
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