An adiabatic, steam (H2O) turbine operates in a steady-state, steady-flow manner. With a single inflow and outflow for a mass flow in and out of the turbine. Pressure going into the turbine is 10MPa. The Power output by the turbine is +2045 kWatt and the mass flow rate is 5 kg/sec. Find the Temperature into the turbine.
An adiabatic, steam (H2O) turbine operates in a steady-state, steady-flow manner. With a single inflow and outflow for a mass flow in and out of the turbine. Pressure going into the turbine is 10MPa. The Power output by the turbine is +2045 kWatt and the mass flow rate is 5 kg/sec. Find the Temperature into the turbine.
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
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![### Adiabatic Steam Turbine Operation Analysis
An adiabatic, steam (H2O) turbine operates in a steady-state, steady-flow manner. With a single inflow and outflow for a mass flow in and out of the turbine. Pressure going into the turbine is 10 MPa. The power output by the turbine is +2045 kW and the mass flow rate is 5 kg/sec. Find the temperature into the turbine.
#### Key Parameters:
- **Pressure Inlet**: 10 MPa
- **Power Output**: 2045 kW
- **Mass Flow Rate**: 5 kg/sec
#### Problem Statement:
Given the above parameters, determine the temperature at the inlet of the turbine.
#### Explanation:
To find the temperature into the turbine, one would typically use thermodynamic principles and the properties of steam. Based on the given parameters, this usually involves applying the first law of thermodynamics for a control volume (open system) and utilizing steam tables or specific software for property data.
### Important Concepts:
- **Adiabatic Process**: No heat transfer occurs into or out of the system.
- **Steady-State, Steady-Flow**: Conditions within the system do not change over time.
A possible approach includes:
1. **Energy Balance Equation**: For a control volume (turbine), the steady-flow energy equation (neglecting potential and kinetic energies) can be written as:
\[
\dot{m} (h_1 - h_2) = \dot{W}
\]
where:
- \(\dot{m}\) is the mass flow rate,
- \(h_1\) and \(h_2\) are the specific enthalpies at the inlet and outlet, respectively,
- \(\dot{W}\) is the work done by the turbine.
2. **Steam Tables**: Use the given pressure of 10 MPa to find the specific enthalpy and subsequently determine the inlet temperature.
### Graphs or Diagrams:
While this description does not include any figures, it is essential to reference standard steam tables or Mollier diagrams, which correlate pressure, temperature, enthalpy, and entropy for water/steam.
This calculation requires a detailed understanding of thermodynamics principles related to steam turbines, typically covered in mechanical and chemical engineering courses.
For more information on these calculations or detailed step-by-step solutions](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe3acf6a6-30f5-4bc7-ac16-270edca78ecc%2F504b77f0-d19a-4cb4-b0e5-9c2661c1faf4%2F4zfr698_processed.png&w=3840&q=75)
Transcribed Image Text:### Adiabatic Steam Turbine Operation Analysis
An adiabatic, steam (H2O) turbine operates in a steady-state, steady-flow manner. With a single inflow and outflow for a mass flow in and out of the turbine. Pressure going into the turbine is 10 MPa. The power output by the turbine is +2045 kW and the mass flow rate is 5 kg/sec. Find the temperature into the turbine.
#### Key Parameters:
- **Pressure Inlet**: 10 MPa
- **Power Output**: 2045 kW
- **Mass Flow Rate**: 5 kg/sec
#### Problem Statement:
Given the above parameters, determine the temperature at the inlet of the turbine.
#### Explanation:
To find the temperature into the turbine, one would typically use thermodynamic principles and the properties of steam. Based on the given parameters, this usually involves applying the first law of thermodynamics for a control volume (open system) and utilizing steam tables or specific software for property data.
### Important Concepts:
- **Adiabatic Process**: No heat transfer occurs into or out of the system.
- **Steady-State, Steady-Flow**: Conditions within the system do not change over time.
A possible approach includes:
1. **Energy Balance Equation**: For a control volume (turbine), the steady-flow energy equation (neglecting potential and kinetic energies) can be written as:
\[
\dot{m} (h_1 - h_2) = \dot{W}
\]
where:
- \(\dot{m}\) is the mass flow rate,
- \(h_1\) and \(h_2\) are the specific enthalpies at the inlet and outlet, respectively,
- \(\dot{W}\) is the work done by the turbine.
2. **Steam Tables**: Use the given pressure of 10 MPa to find the specific enthalpy and subsequently determine the inlet temperature.
### Graphs or Diagrams:
While this description does not include any figures, it is essential to reference standard steam tables or Mollier diagrams, which correlate pressure, temperature, enthalpy, and entropy for water/steam.
This calculation requires a detailed understanding of thermodynamics principles related to steam turbines, typically covered in mechanical and chemical engineering courses.
For more information on these calculations or detailed step-by-step solutions
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How do you go from change in enthalpy to finding the tempurature? What is the rule here? I don't see 409 in my steam tables i see 1100-2200 range numbers for hf and hg.
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