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.
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**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.
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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