FUNDAMENTALS OF THERMODYNAMICS
10th Edition
ISBN: 9781119634928
Author: Borgnakke
Publisher: WILEY
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In an ideal Rankine cycle the boiler pressure is 10 MPa. All components are operating at steady state and adiabatically. The steam enters the turbine at 550oC. The condenser pressure is 15 kPa.
Determine the cycle efficiency.Find the entropy generation for the condenser for 6 kg/min mass flow rate of steam.
This is a Thermodynamics question. Please explain all steps and write nicely. Thanks.
A medium size power station is used to produce 30 MW net power for arefinery. The station uses steam as the operating fluid and operatesaccording to the Carnot cycle between the pressure limits of 0.4 bar and35 bar. Steam enters the boiler as a saturated liquid and leaves it as adry saturated vapour.
(i) Calculate the thermal efficiency of the power station if theisentropic efficiency of the steam turbine is 94%.
(ii) State main disadvantages of using the Carnot cycle as the basis fora power station.
(iii) State the name of the cycle that is used in practice in powerstations, along with three key benefits over the Carnot cycle.
in an ideal reheat cycle, the steam enters the turbine at 30 bar and 500°C after expansion to 5 bar, the steam is reheated to 500°Cand then expanded to the condenser pressure of 0.1 bar. Determine the cycle thermal efficiency, mass flow rate of steam. Take power output as 100 MW.
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- A reheat cycle with two stages of reheating is executed, with steam expanding initially from 90 bar and 530C. The two reheater pressure are 10 bar and 0.6 bar, and the steam leaves each reheater at 480C. Condensation occurs at 0.04 bar. For an ideal cycle, find (a) QA and e. (b) For the engine, ignore the pressure drop through the reheaters, let the engine operate through the same states and compute W and e. (c) What is the steam flow rate for an engine output of 20,000kW? Answer: (a) 4657.5 KJ/kg, 44.31%; (b) 2072.6 KJ/kg, 44.41%; (c) 9.65 kg/sarrow_forward2. In a reheat cycle steam enters the high pressure turbine at 40 bar and 400°C. It expands isentropic ally to 6 bar and is reheated at constant pressure to 400°C. This steam is expanded isentropic ally in the low pressure turbine to the condenser pressure of 0.1 bar. Calculate the thermal efficiency and steam consumption for 10 MW output.arrow_forwardIn a regenerative steam cycle employing one open feed heater, the steam is supplied to the turbine as dry saturated at 40 bar, and exhausted to the condenser at 0.35 bar. The intermediate bleed pressure is 10 bar. Sketch the layout of the plant and show on the temp – entropy diagram the pressure under gone by the steam, neglecting the pump works, calculate: A. The mass of steam bled from the turbine per Kg of steam leaving the boiler. B. The thermal efficiency of the plant. C. The thermal efficiency of the plant without feed heating. D. The heat rate in (kJ/kW.hr) for the plant with and without feed heating.arrow_forward
- A power plant operating in a Reheat Rankine Cycle produces steam at 3 MPa, 600°C in the boiler. It keeps the condenser at 45°C by transfer of 10 MW out as heat transfer. The first turbine section (high- pressure) expands to 500 kPa and then flow is reheated followed by the expansion in the low-pressure turbine. 1. Draw the Ts Diagram 2. Determine the values of enthalpy for each state. 3. Compute for the Pump work input (kJ/kg) 4. Solve for the High-Pressure and Low-Pressure Turbines work output (kJ/kg) 5. Determine the mass flow rate (kg/s) 6. Find the boiler heat transfer including the reheat process (kW) 7. Show how much is the net power output (kW) QH Boiler cb 2 1 3 + 5 Turbine CH Condenser 6 WT Do &arrow_forwardSteam at 10 MPaa, 550 degrees Celsius enters an ideal enginethat has one stage of regenerative cycle; condenser pressure is 10 kPaa and extraction of steam is at 1 MPaarrow_forward1. Consider a steam power plant that operates on a simple ideal Rankine cycle and has a net power output of45 MW. Steam enters the turbine at 7 MPa and 500°C and iscooled in the condenser at a pressure of 10 kPa by runningcooling water from a lake through the tubes of the condenserat a rate of 2000 kg/s. Show the cycle on a T-s diagram withrespect to saturation lines, and determine (a) the thermal efficiency of the cycle, (b) the mass flow rate of the steam, and(c) the temperature rise of the cooling water. Answers:(a) 38.9 percent, (b) 36 kg/s, (c) 8.4°C 2. Consider a 210-MW steam power plant that operateson a simple ideal Rankine cycle. Steam enters the turbine at10 MPa and 500°C and is cooled in the condenser at a pressure of 10 kPa. Show the cycle on a T-s diagram with respectto saturation lines, and determine (a) the quality of the steamat the turbine exit, (b) the thermal efficiency of the cycle,and (c) the mass flow rate of the steam. Answers: (a) 0.793,(b) 40.2 percent, (c) 165…arrow_forward
- A binary-vapour cycle operates on mercury and steam. Saturated mercury vapour at 4.5 bar is suppliedto the mercury turbine, from which it exhaust at 0.04 bar. The mercury condenser generates saturatedsteam at 15 bar which is expanded in a steam turbine to 0.04 bar.(i) Find the overall efficiency of the cycle.(ii) If 50000 kg/h of steam flows through the steam turbine, what is the flow through the mercuryturbine ?(iii) Assuming that all processes are reversible, what is the useful work done in the binary vapour cyclefor the specified steam flow ?(iv) If the steam leaving the mercury condenser is superheated to a temperature of 300°C in a superheaterlocated in the mercury boiler, and if the internal efficiencies of the mercury and steam turbinesare 0.85 and 0.87 respectively, calculate the overall efficiency of the cycle. The properties ofsaturatedmercury are given below :arrow_forwardSteam is the working fluid in a power plant that operates within a pressure limit of 2MPA. and 3.5 kPa. The superheated temperature is 300 C, Regenerative cycle using close feed water heater operating at pressure where steam becomes saturated vapour. Draw the TS diagram for cycle noting that state 1 is at boiler entrance.arrow_forwardSteam is supplied to a two-stage turbine at 40 bar and 350 o It expands in the first turbine until it is just dry saturated, then it is reheated to 350 oC and expanded through the second stage turbine; the isentropic efficiencies of the first and second stage turbines are 84 % and 78 % respectively. The condenser pressure is 0.035 bar. Sketch the process on a T-s diagram and calculate; i. The work output and heat supplied per kg of steam for the plant assuming ideal processes ii. The thermal efficiency of the cycle iii. The specific steam consumptionarrow_forward
- A steam power plants operates between a boiler pressure of 40 bar and a condenser pressure of 0.04 bar. If steam entry to the turbine with dry saturated calculate for a carnot cycle : i. Sketch the T-s diagram ii. Find T1 and T2 iii. Find h1 and h2 iv. Calculate the efficiency Carnot cyclearrow_forward1.) A steam power plant uses the ideal Reheat Rankine cycle where the steam enters the high-pressure turbine at 4 MPa and 300C. It partially expands to 600 kPa then it is reheated to the same temperature. After expanding again, it enters the condenser at 10 kPa. Sketch the schematic diagram and the TS diagram with labeled points, and solve for Qa, Qr, Wt, Wp, Wnet, thermal efficiency, and Steam rate kg 3241.70,2144.67,1101.06 4.03, 1097.03 33.84%, 3.28 k kJ kg kl, kg kWharrow_forwardRankin cycle (Thermodynamics) Show complete and step by step solution. And show the diagram.arrow_forward
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