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a. 8 MPa, 200 K b. 8kPa, 300K c. 150 K,v=0.05 m³/kg

a. 8 MPa, 200 K b. 8kPa, 300K c. 150 K,v=0.05 m³/kg

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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Hello, on this problem, why are you solving with the R factor of water? I thought we are only solving for the compressibility fctor of methane here?

**Chapter 2, Problem 2.60P** **Objective:** Find the compressibility factor for methane at the specified conditions. **Conditions:** a. 8 MPa, 200 K b. 8 kPa, 300 K c. 150 K, v = 0.05 m³/kg This problem requires calculation or reference to tabulated data to determine the compressibility factor (Z) for methane under different states of pressure and temperature. The compressibility factor can be found using the real gas equation or from standard tables or charts for specific gases. _Compressibility factor (Z)_ is a measure of how much a gas deviates from ideal gas behavior. It is defined as: \[ Z = \frac{P \cdot v}{R \cdot T} \] where: - \( P \) is the pressure, - \( v \) is the specific volume, - \( R \) is the gas constant, and - \( T \) is the temperature. _Example Explanation using graphical or tabulated data:_ For each scenario provided: a. \( P = 8 \text{ MPa}, T = 200 \text{ K} \) b. \( P = 8 \text{ kPa}, T = 300 \text{ K} \) c. \( T = 150 \text{ K}, v = 0.05 \text{ m}^3/\text{kg} \) Using standard reference tables or a generalized compressibility chart, one would find Z for methane by knowing the reduced pressure and temperature or by interpolation.
Transcribed Image Text:**Chapter 2, Problem 2.60P** **Objective:** Find the compressibility factor for methane at the specified conditions. **Conditions:** a. 8 MPa, 200 K b. 8 kPa, 300 K c. 150 K, v = 0.05 m³/kg This problem requires calculation or reference to tabulated data to determine the compressibility factor (Z) for methane under different states of pressure and temperature. The compressibility factor can be found using the real gas equation or from standard tables or charts for specific gases. _Compressibility factor (Z)_ is a measure of how much a gas deviates from ideal gas behavior. It is defined as: \[ Z = \frac{P \cdot v}{R \cdot T} \] where: - \( P \) is the pressure, - \( v \) is the specific volume, - \( R \) is the gas constant, and - \( T \) is the temperature. _Example Explanation using graphical or tabulated data:_ For each scenario provided: a. \( P = 8 \text{ MPa}, T = 200 \text{ K} \) b. \( P = 8 \text{ kPa}, T = 300 \text{ K} \) c. \( T = 150 \text{ K}, v = 0.05 \text{ m}^3/\text{kg} \) Using standard reference tables or a generalized compressibility chart, one would find Z for methane by knowing the reduced pressure and temperature or by interpolation.
**Explanation of Solution** **Given:** The specific volume of methane is \( v = 0.05 \, \text{m}^3/\text{kg} \). The temperature of the water is \( T = 150 \, \text{K} \).
Transcribed Image Text:**Explanation of Solution** **Given:** The specific volume of methane is \( v = 0.05 \, \text{m}^3/\text{kg} \). The temperature of the water is \( T = 150 \, \text{K} \).
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I did not ask for the same explaination that I was already given. I asked why are we using water if we are working with methane?

**Explanation of Solution** **Given:** - The specific volume of methane is \( v = 0.05 \, \text{m}^3/\text{kg} \). - The temperature of the water is \( T = 150 \, \text{K} \).
Transcribed Image Text:**Explanation of Solution** **Given:** - The specific volume of methane is \( v = 0.05 \, \text{m}^3/\text{kg} \). - The temperature of the water is \( T = 150 \, \text{K} \).
### Chapter 2, Problem 2.60P **Problem Statement:** Find the compressibility factor for methane at: a. 8 MPa, 200 K b. 8 kPa, 300 K c. 150 K, \( v = 0.05 \, \text{m}^3/\text{kg} \) --- #### Explanation: The compressibility factor \( Z \) is a correction factor that describes the deviation of a real gas from ideal gas behavior. It is crucial in various engineering applications to predict gas properties more accurately. --- **Graph / Diagram Description:** In this problem, there are no accompanying graphs or diagrams to describe. The focus is on calculating the compressibility factor \( Z \) using the given conditions for methane. --- To solve these problems, you will need to use the equations of state or compressibility charts often provided in textbooks or reliable online resources for various gases under specific conditions.
Transcribed Image Text:### Chapter 2, Problem 2.60P **Problem Statement:** Find the compressibility factor for methane at: a. 8 MPa, 200 K b. 8 kPa, 300 K c. 150 K, \( v = 0.05 \, \text{m}^3/\text{kg} \) --- #### Explanation: The compressibility factor \( Z \) is a correction factor that describes the deviation of a real gas from ideal gas behavior. It is crucial in various engineering applications to predict gas properties more accurately. --- **Graph / Diagram Description:** In this problem, there are no accompanying graphs or diagrams to describe. The focus is on calculating the compressibility factor \( Z \) using the given conditions for methane. --- To solve these problems, you will need to use the equations of state or compressibility charts often provided in textbooks or reliable online resources for various gases under specific conditions.
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