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7.33. Superheated steam at 40 bar absolute and 500°C flows at a rate of 250 kg/min to an adiabatic turbine, where it expands to 5 bar. The turbine develops 1500 kW. From the turbine the steam flows to a heater, where it is reheated isobarically to its initial temperature. Neglect kinetic energy changes. a. Write an energy balance on the turbine and use it to determine the outlet stream temperature. b. Write an energy balance on the heater and use it to determine the required input (kW) to the steam. c. Verify that an overall energy balance on the two-unit process is satisfied. d. Suppose the turbine inlet and outlet pipes both have diameters of 0.5 meter. Show that it is reasonable to neglect the change in kinetic energy for this unit.

7.33. Superheated steam at 40 bar absolute and 500°C flows at a rate of 250 kg/min to an adiabatic turbine, where it expands to 5 bar. The turbine develops 1500 kW. From the turbine the steam flows to a heater, where it is reheated isobarically to its initial temperature. Neglect kinetic energy changes. a. Write an energy balance on the turbine and use it to determine the outlet stream temperature. b. Write an energy balance on the heater and use it to determine the required input (kW) to the steam. c. Verify that an overall energy balance on the two-unit process is satisfied. d. Suppose the turbine inlet and outlet pipes both have diameters of 0.5 meter. Show that it is reasonable to neglect the change in kinetic energy for this unit.

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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I need help with parts A - C
**Problem 7.33: Thermodynamic Analysis of a Steam Turbine and Heater System** Superheated steam at 40 bar absolute and 500°C flows at a rate of 250 kg/min to an adiabatic turbine, where it expands to 5 bar. The turbine develops 1500 kW of work. From the turbine, the steam flows to a heater, where it is reheated isobarically to its initial temperature. Neglect changes in kinetic energy. **Tasks:** a. **Energy Balance on the Turbine:** - Formulate an energy balance equation to determine the outlet temperature of the steam from the turbine. b. **Energy Balance on the Heater:** - Write an energy balance to calculate the required heat input (kW) needed for the steam in the heater. c. **Overall Energy Balance:** - Verify that the energy balance for the cumulative two-unit process (turbine and heater) is consistent and satisfies conservation of energy principles. d. **Kinetic Energy Considerations:** - Assume the turbine inlet and outlet pipes both have diameters of 0.5 meters. Demonstrate mathematically that it is reasonable to neglect changes in kinetic energy for this process. **Note:** This problem involves applying principles of thermodynamics, particularly the first law, to analyze and solve for desired thermodynamic properties and requirements in both the turbine and heater components of a power generation system.
Transcribed Image Text:**Problem 7.33: Thermodynamic Analysis of a Steam Turbine and Heater System** Superheated steam at 40 bar absolute and 500°C flows at a rate of 250 kg/min to an adiabatic turbine, where it expands to 5 bar. The turbine develops 1500 kW of work. From the turbine, the steam flows to a heater, where it is reheated isobarically to its initial temperature. Neglect changes in kinetic energy. **Tasks:** a. **Energy Balance on the Turbine:** - Formulate an energy balance equation to determine the outlet temperature of the steam from the turbine. b. **Energy Balance on the Heater:** - Write an energy balance to calculate the required heat input (kW) needed for the steam in the heater. c. **Overall Energy Balance:** - Verify that the energy balance for the cumulative two-unit process (turbine and heater) is consistent and satisfies conservation of energy principles. d. **Kinetic Energy Considerations:** - Assume the turbine inlet and outlet pipes both have diameters of 0.5 meters. Demonstrate mathematically that it is reasonable to neglect changes in kinetic energy for this process. **Note:** This problem involves applying principles of thermodynamics, particularly the first law, to analyze and solve for desired thermodynamic properties and requirements in both the turbine and heater components of a power generation system.
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