Water vapor at 6 MPa, 500°C enters a turbine operating at steady state and expands to 20 kPa. The mass flow rate is 3 kg/s, and the power developed is 2626 kW. Stray heat transfer and kinetic and potential energy effects are negligible. Determine: (a) the isentropic turbine efficiency and (b) the rat of entropy production within the turbine, in kW/K. Show this compression process on a T-s diagram.
Water vapor at 6 MPa, 500°C enters a turbine operating at steady state and expands to 20 kPa. The mass flow rate is 3 kg/s, and the power developed is 2626 kW. Stray heat transfer and kinetic and potential energy effects are negligible. Determine: (a) the isentropic turbine efficiency and (b) the rat of entropy production within the turbine, in kW/K. Show this compression process on a T-s diagram.
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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Transcribed Image Text:**Problem Description:**
Water vapor at 6 MPa, 500°C enters a turbine operating at steady state and expands to 20 kPa. The mass flow rate is 3 kg/s, and the power developed is 2626 kW. Stray heat transfer and kinetic and potential energy effects are negligible. Determine:
(a) the isentropic turbine efficiency
(b) the rate of entropy production within the turbine, in kW/K.
Show this compression process on a T-s diagram.
**Explanation of Diagram:**
In the explanation for the T-s (Temperature-Entropy) diagram, a plot should be provided showing the following:
1. **Initial State at 6 MPa, 500°C:**
- Marked on the diagram as the initial point before expansion.
2. **Final State at 20 kPa:**
- Marked as the final point after expansion.
3. **Isentropic Process Line:**
- A vertical line from the initial state indicating the ideal isentropic process (constant entropy).
4. **Actual Process Line:**
- A curve connecting the initial state to the final state, indicating the actual process path taken by the fluid.
5. **Entropy Production:**
- Illustrated by the horizontal distance between the actual and ideal process lines at the final state, representing the entropy increase due to irreversibilities.
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