Fundamentals Of Engineering Thermodynamics
9th Edition
ISBN: 9781119391388
Author: MORAN, Michael J., SHAPIRO, Howard N., Boettner, Daisie D., Bailey, Margaret B.
Publisher: Wiley,
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In a cogeneration system, a Rankine cycle operates with steam entering the turbine at 800 lb-/in.², 700°F, and a condenser pressure of
180 lb-/in.² The isentropic turbine efficiency is 70%. Energy rejected by the condensing steam is transferred to a separate process
stream of water entering at 250°F, 140 lb/in.² and exiting as saturated vapor at 140 lb/in.² The mass flow rate of the process stream
is 51,000 lb/h. Let To = 70°F, po = 14.7 lb-/in.²
Determine the mass flow rate for the working fluid of the Rankine cycle, in lb/h.
mcycle =
W cycle
56429.05
Determine the net power output for the cycle, in Btu/h.
=
lb/h
Mi
! Btu/h
In a cogeneration system, a Rankine cycle operates with steam entering the turbine at 800 lb/in.², 700°F, and a condenser pressure of
180 lb/in.² The isentropic turbine efficiency is 90%. Energy rejected by the condensing steam is transferred to a separate process
stream of water entering at 250°F, 140 lb/in.2 and exiting as saturated vapor at 140 lb/in.2 The mass flow rate of the process stream
is 48,000 lb/h. Let To -70°F, po - 14.7 lb//in.²
Step 1
Determine the mass flow rate for the working fluid of the Rankine cycle, in lb/h.
mcycle
Step 2
Hint
W
Your answer is correct.
cycle
= 54852.5
Determine the net power output for the cycle, in Btu/h.
Hint
Step 3
Your answer is correct.
7087421.984
€ = i
lb/h
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Btu/h
Evaluate an exergetic efficiency for the overall cogeneration system. The exergetic efficiency is defined as the net rate of exergy
output divided by the net rate of exergy input.
Attempts: 1 of 4 used
%
Attempts: 2 of 4 used
Attempts: 0 of 4…
Water is the working fluid in a Rankine cycle. Steam exits the steam generator at 1500 lbf/in.2 and 1100°F. Due to heat transfer and frictional effects in the line connecting the steam generator and turbine, the pressure and temperature at the turbine inlet are reduced to 1400 lbf/in.2 and 1000°F, respectively. Both the turbine and pump have isentropic efficiencies of 90%. Pressure at the condenser inlet is 2 lbf/ in.2, but due to frictional effects the condensate exits the condenser at a pressure of 1.5 lbf/in.2 and a temperature of 110°F. The condensate is pumped to 1600 lbf/in.2 before entering the steam generator. The net power output of the cycle is 1 x 109 Btu/h. Cooling water experiences a temperature increase from 60°F to 76°F, with negligible pressure drop, as it passes through the condenser.Determine for the cycle:(a) the mass flow rate of steam, in lb/h.(b) the rate of heat transfer, in Btu/h, to the working fluid passing through the steam generator.(c) the percent thermal…
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- Water is the working fluid in a Rankine cycle. Steam exits the steam generator at 1500 lbf/in.2 and 1100°F. Due to heat transfer and frictional effects in the line connecting the steam generator and turbine, the pressure and temperature at the turbine inlet are reduced to 1400 lbf/in.² and 1000°F, respectively. Both the turbine and pump have isentropic efficiencies of 90%. Pressure at the condenser inlet is 2 lbf/ in.2, but due to frictional effects the condensate exits the condenser at a pressure of 1.5 lbf/in.² and a temperature of 110°F. The condensate is pumped to 1600 lbf/in.² before entering the steam generator. The net power output of the cycle is 5.5 x 108 Btu/h. Cooling water experiences a temperature increase from 60°F to 76°F, with negligible pressure drop, as it passes through the condenser. Determine for the cycle: (a) the mass flow rate of steam, in lb/h. (b) the rate of heat transfer, in Btu/h, to the working fluid passing through the steam generator. (c) the percent…arrow_forwardWater is the working fluid in a Rankine cycle. Steam exits the steam generator at 1500 lbf/in.² and 1100°F. Due to heat transfer and frictional effects in the line connecting the steam generator and turbine, the pressure and temperature at the turbine inlet are reduced to 1400 lbf/in.² and 1000°F, respectively. Both the turbine and pump have isentropic efficiencies of 85%. Pressure at the condenser inlet is 2 lbf/ in.², but due to frictional effects the condensate exits the condenser at a pressure of 1.5 lbf/in.² and a temperature of 110°F. The condensate is pumped to 1600 lbf/in.² before entering the steam generator. The net power output of the cycle is 1x 10⁹ Btu/h. Cooling water experiences a temperature increase from 60°F to 76°F, with negligible pressure drop, as it passes through the condenser. Determine for the cycle: (a) the mass flow rate of steam, in lb/h. (b) the rate of heat transfer, in Btu/h, to the working fluid passing through the steam generator. (c) the percent…arrow_forwardWater is the working fluid in a Rankine cycle. Steam exits the steam generator at 1500 lbf/in.² and 1100°F. Due to heat transfer and frictional effects in the line connecting the steam generator and turbine, the pressure and temperature at the turbine inlet are reduced to 1400 lbf/in.² and 1000°F, respectively. Both the turbine and pump have isentropic efficiencies of 85%. Pressure at the condenser inlet is 2 lbf/ in.², but due to frictional effects the condensate exits the condenser at a pressure of 1.5 lbf/in.² and a temperature of 110°F. The condensate is pumped to 1600 lbf/in.² before entering the steam generator. The net power output of the cycle is 1x 10⁹ Btu/h. Cooling water experiences a temperature increase from 60°F to 76°F, with negligible pressure drop, as it passes through the condenser. Determine for the cycle: (a) the mass flow rate of steam, in lb/h. (b) the rate of heat transfer, in Btu/h, to the working fluid passing through the steam generator. (c) the percent…arrow_forward
- In a cogeneration system, a Rankine cycle operates with steam entering the turbine at 800 lbf/in.2, 700°F, and a condenser pressure of 180 lbf/in.2 The isentropic turbine efficiency is 80%. Energy rejected by the condensing steam is transferred to a separate process stream of water entering at 250°F, 140 lbf/in.2 and exiting as saturated vapor at 140 lbf/in.2 The mass flow rate of the process stream is 50,000 lb/h. Let T0 = 70°F, p0 = 14.7 lbf/in.2arrow_forwardIn a cogeneration system, a Rankine cycle operates with steam entering the turbine at 800 lbf/in.2, 700°F, and a condenser pressure of 180 lbf/in.² The isentropic turbine efficiency is 70%. Energy rejected by the condensing steam is transferred to a separate process stream of water entering at 250°F, 140 lbf/in.2 and exiting as saturated vapor at 140 lbf/in.2 The mass flow rate of the process stream is 49,000 lb/h. Let To = 70°F, po = 14.7 lbf/in.²arrow_forwardConsider a cogeneration system operating as shown in the figure below. Steam enters the first turbine stage at 6 MPa, 540°C. Between the first and second stages, y = 40% of the steam is extracted at 500 kPa and diverted to a process heating load of Oprocess = 5x 10° kJ/h. Condensate exits the process heat exchanger at 450 kPa with specific enthalpy of 589.13 kJ/kg and is mixed with liquid exiting the lower-pressure pump at 450 kPa. The entire flow is then pumped to the steam generator pressure. At the inlet to the steam generator the specific enthalpy is 469.91 kJ/kg. Saturated liquid at 60 kPa leaves the condenser. The turbine stages and the pumps operate with isentropic efficiencies of 82% and 88%, respectively. P1 = 6 MPa T = 540°C Turbine Steam 7 = 82% generator P2 = 500 kPa (у) (1-у) 7 3 P3 = 60 kPa P7 = P1 = 6 MPa h7 = 469.91 kJ/kg V Qout Condenser Pump 2 P6 =P5 = 450 kPa Pump 1 (1- у) P4 = P3 = 60 kPa X4 = 0 (saturated liquid) 6 5 7p2 = 88% 7pl = 88% W. p2 PI Heat Oproces…arrow_forward
- Steam is the working fluid in an ideal Rankine cycle. Saturated vapor enters the turbine at 10 MPa and saturated liquid exits the condenser at a pressure of 0.01MPa. The net power output (W_dotnet) of the cycle is 150 MW. The turbine and the pump both have an isentropic efficiency of 85 %. The boiler receives heat from a source at 1200 ∘C and the condenser rejects heat to a reservoir at 25 ∘C. Assume the atmospheric conditions to be 100 kPa and 25 ∘C. (Figure 1) Part A. Determine the exergetic efficiency of the cycle.arrow_forwardIn a cogeneration system, a Rankine cycle operates with steam entering the turbine at 800 lb/in.2, 700°F, and a condenser pressure of 180 lb/in. The isentropic turbine efficiency is 60%. Energy rejected by the condensing steam is transferred to a separate process stream of water entering at 250°F, 140 lbs/in.2 and exiting as saturated vapor at 140 lbs/in.²2 The mass flow rate of the process stream is 49,000 lb/h. Let To-70°F. po-14.7 lb/in.² Step 1 Determine the mass flow rate for the working fluid of the Rankine cycle, in lb/h. mcycle Hint Step 2 Your answer is correct. cycle Step 3 52871.276 Your answer is correct. Determine the net power output for the cycle, in Btu/h. Hint lb/h 4551075.519 Btu/h Attempts: 3 of 4 used % Attempts: 2 of 4 used Evaluate an exergetic efficiency for the overall cogeneration system. The exergetic efficiency is defined as the net rate of exergy output divided by the net rate of exergy input.arrow_forward3arrow_forward
- A Rankine cycle is characterized by turbine inlet conditions of 1500 psia and 1000F. The condenser pressure is 1 psia. The heat transfer to the steam in the boiler occurs at the rate of 7x 106 Btu/sec. The cooling water in the condenser increases in temperature from 70° to 85°F. Determine the following: 1. the net power produced, the cooling-water flow rate in gal/min and the cycle thermal efficiency.arrow_forwardWater is the working fluid in a Rankine cycle that produces 125 MW of power. The superheated vapor enters the turbine at 100 bar, 600°C, and exits at 6 kPa. Saturated liquid enters the pump at 20 kPa. The isentropic turbine efficiency is 74%, and the isentropic pump efficiency is 70%. Cooling water enters the condenser at 20°C and exits at 38°C with no significant change in pressure. Determine:(a) the mass flow rate of the working fluid, in kg/s.(b) the thermal efficiency.arrow_forwardA Rankine cycle with superheat uses water as its working fluid. Superheated steam exits the steam generator at 1,800 psia and 1,100°F and exits the condenser as a saturated liquid at 4 psia. The mass flow rate of the water is 205 lbm/s. (a) Determine the exit state of the water from the turbine, the net power produced, and the thermal efficiency of the cycle if the turbine and pump are isentropic. exit state of the water net power produced thermal efficiency MW (b) Determine the exit state of the water from the turbine, the net power produced, and the thermal efficiency of the cycle if the turbine isentropic efficiency is 76% and the pump isentropic efficiency is 68%. exit state of the water net power produced thermal efficiency MWarrow_forward
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