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A steam turbine receives steam from 2 boilers. The first flow is 10 kg/s at 6 MPa (60 bar), 600°C. The second flow is 17 kg/s at 1500 kPa (15 bar), 400°C. The exit flow is at 100 kPa (1 bar), with a quality of 85%. Determine the power output of this turbine (in kW).

A steam turbine receives steam from 2 boilers. The first flow is 10 kg/s at 6 MPa (60 bar), 600°C. The second flow is 17 kg/s at 1500 kPa (15 bar), 400°C. The exit flow is at 100 kPa (1 bar), with a quality of 85%. Determine the power output of this turbine (in kW).

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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**Steam Turbine Analysis** In this scenario, a steam turbine receives steam from two separate boilers with the following parameters: - **First Flow:** - Mass Flow Rate: 10 kg/s - Pressure: 6 MPa (60 bar) - Temperature: 600°C - **Second Flow:** - Mass Flow Rate: 17 kg/s - Pressure: 1500 kPa (15 bar) - Temperature: 400°C - **Exit Flow:** - Pressure: 100 kPa (1 bar) - Steam Quality: 85% **Objective:** Determine the power output of this turbine in kilowatts (kW). This setup involves calculating the power generated by the turbine based on the given mass flow rates, pressures, temperatures, and steam quality. Understanding these parameters and their relationships is critical for accurately determining the turbine's efficiency and power output.
Transcribed Image Text:**Steam Turbine Analysis** In this scenario, a steam turbine receives steam from two separate boilers with the following parameters: - **First Flow:** - Mass Flow Rate: 10 kg/s - Pressure: 6 MPa (60 bar) - Temperature: 600°C - **Second Flow:** - Mass Flow Rate: 17 kg/s - Pressure: 1500 kPa (15 bar) - Temperature: 400°C - **Exit Flow:** - Pressure: 100 kPa (1 bar) - Steam Quality: 85% **Objective:** Determine the power output of this turbine in kilowatts (kW). This setup involves calculating the power generated by the turbine based on the given mass flow rates, pressures, temperatures, and steam quality. Understanding these parameters and their relationships is critical for accurately determining the turbine's efficiency and power output.
Expert Solution
Step 1: Given

Exit condition of first boiler

P1= 6MPa and T1 = 600 0C, m1 = 10 kg/s

Exit condition of second boiler

P2 = 1500 kPa and T2 = 400 0C, m2 = 17 kg/s

Exit condition of turbine,

Pe = 100 kPa, x = 85% =0.85

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