Steam in a reheat Rankine cycle enters the first-stage turbine at 8 MPa and 450°C. The steam leaves this first turbine at 800 kPa as a saturated vapor. The steam is then reheated isobarically back to 450°C before entering the second-stage turbine. At the exit of this second turbine, the steam is at 10 kPa and 50°C. The net power output of this cycle is 20 MW, and the water leaves the condenser as a saturated liquid. You may assume the pump functions isentropically and that there are no pressure losses in the condenser and boiler. Determine a. Draw this cycle on a T-s diagram. b. Calculate the isentropic efficiencies of the first- and second-stage turbines. c. Calculate the thermal efficiency of the cycle. d. Calculate the mass flow rate of steam, in kg/h. e. Calculate the rate of heat transfer from the water as it passes through the condenser, in MW.
Steam in a reheat Rankine cycle enters the first-stage turbine at 8 MPa and 450°C. The steam leaves this first turbine at 800 kPa as a saturated vapor. The steam is then reheated isobarically back to 450°C before entering the second-stage turbine. At the exit of this second turbine, the steam is at 10 kPa and 50°C. The net power output of this cycle is 20 MW, and the water leaves the condenser as a saturated liquid. You may assume the pump functions isentropically and that there are no pressure losses in the condenser and boiler. Determine a. Draw this cycle on a T-s diagram. b. Calculate the isentropic efficiencies of the first- and second-stage turbines. c. Calculate the thermal efficiency of the cycle. d. Calculate the mass flow rate of steam, in kg/h. e. Calculate the rate of heat transfer from the water as it passes through the condenser, in MW.
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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Problem 8:
Steam in a reheat Rankine cycle enters the first-stage turbine at 8 MPa and 450°C. The steam
leaves this first turbine at 800 kPa as a saturated vapor. The steam is then reheated isobarically
back to 450°C before entering the second-stage turbine. At the exit of this second turbine, the
steam is at 10 kPa and 50°C. The net power output of this cycle is 20 MW, and the water leaves
the condenser as a saturated liquid. You may assume the pump functions isentropically and
that there are no pressure losses in the condenser and boiler. Determine
a. Draw this cycle on a T-s diagram.
b. Calculate the isentropic efficiencies of the first- and second-stage turbines.
c. Calculate the thermal efficiency of the cycle.
d. Calculate the mass flow rate of steam, in kg/h.
e. Calculate the rate of heat transfer from the water as it passes through the condenser, in
MW.
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Step 1: Write the given data and what is to find
VIEWStep 2: Draw the T-S diagram:
VIEWStep 3: Determine all the state values:
VIEWStep 4: Determine all the state values:
VIEWStep 5: Determine the isentropic efficiency of the first stage and second stage turbine:
VIEWStep 6: Determine the thermal efficiency of the cycle:
VIEWStep 7: Determine the mass flow rate of the steam:
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