For a gas turbine power cycle operating on an air-standard cycle, and treating the air as a perfect gas, show that the efficiency of the cycle is given by Y-1 n = 1. - (+7) where Rp is the pressure ratio. Also, show that the work ratio is given by TL Y-1 Rw = 1 - (Rp) Y TH where TH and T are the highest and lowest temperatures in the cycle. L

A:0£ I 26ll 4ll HMW-7.pdf > HMW-7: Steam Turbine Power Cycles Steam enters the turbine at 10 MN/m and 450°C. The steam expanded isentropically in the turbine down to the condenser pressure of 20 kN/m?. The power developed by the plant is 5600 kW. The condensate leaving the condenser is pumped to the boiler pressure isentropically. Taking into account the pump work and calculate: • The mass of steam generated in the boiler. • Cycle thermal efficiency. • Specific steam consumption. Draw the cycle on a T-s diagram. Hint: 1 MN/m² = 10 bar ...

The working fluid of a liquid-vapor cycle is 1kg of R-134a (Hint: Use the R-134a thermodynamic tables.) The cycle operates between two pressures 100kPa and 1000kPa. Process A-B: An isobaric compression at the high pressure from a saturated vapor to a saturated liquid. • ProcessB-C: An iso-entropic process from the high pressure to the low pressure. • Process C-D: An isobaric expansion at the low pressure. •Process D-A: An iso-entropic process from the low pressure to the high pressure. •a) Make a table of the temperature, pressure, volume, internal energy, enthalpy, entropy and quality factor (T, P, V, U, H, S & x) at the start of each process. b) Make a table of the change in internal energy, heat flow, work done, change in enthalpy, and change in S) during each leg of the cycle.AH, AU, Q, W, Aentropy (c) Draw a well-labeled T-S diagram (indicating lines of constant pressure and the saturation dome.) d) Calculate the coefficient of performance of the cycle "nglish (United States)

1. 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…

A gas turbine power plant operates on a simple thermodynamic cycle. The ambient conditionsare 100 kPa and 24 °C. The air at this condition enters the engine at 150 m/s whose diameteris 0.5 m. The pressure ratio across the compressor is 18 k and the temperature at the turbineinlet is 1400 K. Assuming ideal operation for all components and specific heats for air andproducts separately. In addition, neglect the mass of fuel burned. Do the followings:a. Choose the suitable thermodynamic cycleb.Draw pv and Ts diagram and label itCalculate the power required by the compressordDetermine the pressure and the temperature at the turbine exit,Compute the power produced by the turbinef.Available specific workg.The thermal efficiency

In a reheat cycle steam at 15 Mpa, 540°C enters the engine and expands to 1.95 Mpa. At this point the steam is withdrawn and passed through a reheater. It reenters the engine at 540°C. Expansion now occurs to the condenser pressure of 0.0035 Mpa. (a) For the ideal cycle, find ee (b) A 60,000 kW turbine operates between the same state points except that the steam enters the reheater at 1.95Mpa and 260°C, departs at 1.8 Mpa and 540°C. The steam flow is 147,000 kg/hr; generator efficiency is 96%. For actual engine, ek, mk, and nk, (c) Determine the approximate enthalpy of the exhaust steam if the heat lost through the turbine casing is 2% of the combined work.4. Steam at 200 bar, 760°C enters the thrott

Instead, assume variable specific heat A gas-turbine power plant operates on the simpleBrayton cycle between the pressure limits of 100 and 800 kPa.Air enters the compressor at 308C and leaves at 3308C at amass flow rate of 200 kg/s. The maximum cycle temperatureis 1400 K. During operation of the cycle, the net power outputis measured experimentally to be 60 MW. Assume constantproperties for air at 300 K with cv 5 0.718 kJ/kg·K, cp 51.005 kJ/kg·K, R 5 0.287 kJ/kg·K, k 5 l.4.(a) Sketch the T-s diagram for the cycle.(b) Determine the isentropic efficiency of the turbine forthese operating conditions.(c) Determine the cycle thermal efficiency.

A young inventor has proposed a three-process internal combustion cycle. According to the patent application, the cycle consists of an isentropic compression process (1-2), an isothermal heat addition process (2-3), and a constant volume heat rejection process (3-1). Assuming that the working fluid is air with constant properties (Table A.5) and that the inlet temperature and pressure is 25℃ and 100 kPa respectively, plot and label the cycle on the temperature-entropy (T-s) and pressure-volume (P-v) diagram and calculate the following quantities for a compression pressure ratio of 10. (a) maximum air cycle temperature(b) heat added to the working fluid (c) net work for the cycle(d) cycle efficiency(e) thermal efficiency for a Carnot cycle operating between the same temperature difference

A young inventor has proposed a three-process internal combustion cycle. According to the patent application, the cycle consists of an isentropic compression process (1-2), an isothermal heat addition process (2-3), and a constant volume heat rejection process (3-1). Assuming that the working fluid is air with constant properties (Table A.5) and that the inlet temperature and pressure is 25℃ and 100 kPa respectively, plot and label the cycle on the temperature-entropy (T-s) and pressure-volume (P-v) diagram and calculate the following quantities for a compression pressure ratio of 10. (a) cycle efficiency(b) thermal efficiency for a Carnot cycle operating between the same temperature difference

T B A D Consider the cycle in the diagram (very similar to the Rankine Cycle) using water as the working fluid. Process A-B: A saturated mixture of water is pumped from low pressure to a high pressure saturated liquid in an iso- entropic (and adiabatic) process. Process B-C: The high pressure saturated liquid enters a boiler where it is heated at constant pressure process by an external heat source to a super-heated vapor. Process C-D: The super-heated vapor goes through a turbine, generating power exiting as a saturated vapor. Assume an iso-entropic (and adiabatic) process and neglect kinetic energy and potential energy changes. Process D-A: The saturated vapor then enters a condenser where it is condensed at a constant pressure process back to its original state. The boiler operates at 8 MPa (points B & C) and the condenser operates at 200 kPa (points A & D). Assume a mass flow rate of 1 kg/s. Make a table of the temperature, pressure, volume, internal energy, enthalpy, entropy and…