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 a) Water at 15 MPa, s = 2.334 kJ/K•kg, b) Ammonia at 32 °C, h = 1089 kJ/kg and c) Propane at 76°C, 800 kPa.
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 a) Water at 15 MPa, s = 2.334 kJ/K•kg, b) Ammonia at 32 °C, h = 1089 kJ/kg and c) Propane at 76°C, 800 kPa.
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 a) Water at 15 MPa, s = 2.334 kJ/K•kg, b) Ammonia at 32 °C, h = 1089 kJ/kg and c) Propane at 76°C, 800 kPa.
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.
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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