3. In a gas turbine plant air is compressed from 1.01 bar and 15 °C through a pressure ratioof 5. It is then heated in a combustion chamber at constant pressure to a temperature of700 °C and expanded to atmospheric pressure in a turbine. The isentropic efficiencies ofcompression and expansion are respectively 0.8 and 0.85. Calculate (a) the cycleefficiency and (b) the work ratio. Assume that the properties of air do not change withtemperature and may be taken as Cp = 1.005 kJ/kg K and y = 1.4.

Answered: Image /qna-images/answer/c9f2f652-b5e7-4e43-9593-d3b78eeb133d.jpg

Answered: 3. In a gas turbine plant air is…

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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In a lenoir cycle, helium is taken in at 60 K with a pressure ratio of 8.45. The ratio of the volume between the start and end of heat rejection is 3.99. Find the change in entropy in BTU/lb-R of the heat addition process. use R= 8.314 kJ/ kmol -K, k=1.667, mw = 4 g/mol
The Brayton cycle, or one gas turbine cycle, operates between 1 bar and 300 K and 5 bar and 1000 K. Air is sucked into a double-acting compressor with cooling between the compression stages and, likewise, expansion. The turbine takes place in two stages with heating. complete during the expansion stage, calculate (a) Appropriate pressure between compression and expansion stages (bar) (b) net export work and (c) the ratio of work to drive the compressor to the work from the turbine
Air goes through a Brayton cycle gas turbine, entering the compressor at 11 °C and 108 kPa. When it reaches the turbine inlet, the air is at 1,061 °C and 1.23 MPa. What is the net change in specific enthalpy of the working fluid after going through the compressor and heat addition processes? You may assume that the specific heat capacity c, is a constant 1.005 --1. kJ-kg 1.K1 throughout the whole cycle. Give your answer in kJ-kg1 to one decimal place.
IMPORTANT: For problem solving items, start your solution by presenting the cycle in P-v and T-s diagrams. Label all points and mark the process where the heat is added and rejected. Also mark the area showing the net work of the cycle. The parameters of the initial state of one kilogram of air in the cycle of an internal combustion engine are o.095 MPa and 65 deg.C. The compression ratio is 12. Compare the values of the thermal efficiency for isobaric and isometric heat supply in the amounts of 820 kJ.
b) A nearly flat bicycle tire becomes noticeably warmer after it has been pumped up. Approximate this process as a reversible adiabatic compression. Take the initial pressure and initial temperature of the air before it is put in the tire to be P = 1.00 bar and T; = 298 K. The final volume of the air in the tire is V = 1.00 L and the final pressure is Pf = 5.00 bar. Hints: • Cy.m = 5/2 R. Heat Capacity ratio, y = Cp.m Cy,m = 1.4 %3D Cy,m For a reversible adiabatic change, 4 = (4 )°, where c = R For perfect gas: CP.m - Cv,m = R CP.m and Cv.m denote molar heat capacity at constant pressure and volume, respectively. Tand V are temperature and volume at initiate (i) state ad final (f) state. i) Derive a mathematical expression to show the relationship of temperature, volume and heat capacity ratio (y) for the transformation of this process from initial to final states.
1.A piston-cylinder device contains air at 427 degrees and 134kPa. A pressure increase of 1.378kPa was recorded after the air was compressed isentropically with minimum work input of 1.422KJ. Assuming air has constant specific heats evaluated at given temperature. Determine the mass of air in the device. 2. Air is used as the working fluid in a simple ideal brayton cycle that has a pressure ratio of 12, a compressor inlet temperature of 300k, and a turbine inlet temperature of 1000k. Determine the required mass flow rate in (kg/s) of air for a net power output of 70MW, assuming both the compressor and the turbine have an isentropic efficiency of 100%. Assume constant specific heats at room temperature
A single flash geothermal steam power plant is operating at maximum turbine power output with a geofluid flowing from the production well at 250 °C. The mass flow of entering the adiabatic separator is 70 kg/s. The exit pressure of the steam turbine is 15 kPa. The turbine isentropic efficiency is 90 %. Neglecting the pump work, calculate: 1. The steam quality at the turbine exit 2. The mass flow rate at the turbine exit 3. The turbine output power 4. The reinjection well temperature
9 In a constant temperature, transferred to the working fluid at 80F. What is the change of entropy of the working fluid, KJ/kg-K? closed system process, 120 BTU of heat is 10 1ne in -rease of certain is 141 KJ/ka when the gas
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In a gas turbine plant working on Brayton cycle, the carbon dioxide at inlet is 27°C, 100 kPa. The pressure ratio is 7.5 and the maximum temperature is 850°C. The turbine and compressor efficiencies are each 85%. Mass of CO₂ may be considered as 1 kg. Determine (a) draw T-s diagram (b) compressor work (c) turbine work (d) heat supplied (e) thermal efficiency (f) turbine exhaust temperature
A two-stage air compressor with perfect intercooling takes in air at 1 bar pressure and 27°C. The law of compression in both the stages is puls constant. The compressed air is delivered at 9 bar from the HP cylinder to an air receiver. Calculate per kilogram of air, the minimum work done, and the heat rejected to the intercooler.
6. The working substance for a Carnot cycle is 8 lb of air. The volume at the beginning of isothermal expansion is 9 cu. ft and the pressure is 300 psia. The ratio of expansion during the addition of heat is 2 and the temperature of the cold body is 90°F. Find Qa, Qr, V3, P3, V4, P4, mep, the ratio of expansion during the isentropic process, and the overall ratio of compression.

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