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##### ME 301 Homework 11

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ME 301 Homework 11;1. Air is compressed in an isentropic process from an initial pressure and temperature of P 1 = 90 kPa;and T1 = 22 oC to a final pressure of P2 = 900 kPa. Determine;a. The final temperature of the air.;b. The work done per kg of air during the process.;2. What four processes make up the ideal Otto Cycle? What is happening in an actual engine during;the real processes that are approximated by these idealized processes?;3. An air standard Otto cycle has a compression ratio of 9.5. At the beginning of the isentropic;compression the working fluid, air, is at an initial pressure, temperature and volume of P 1 = 100 kPa;T1 = 35 oC and V1 = 600 cm3. The temperature at the end of the isentropic expansion is T4 = 527 oC.;Assume Cp = 1.005 kJ/kgK & Cv = 0.718 kJ/kgK, R = 0.287 kJ/kg K and k = 1.4 for the air. Sketch;the Pv and Ts diagrams for the cycle and determine;a. The temperature and pressure, at the beginning of the isentropic expansion: P 3 & T3;b. The heat transferred into the working fluid during the heat addition process: Q 2-3;c. The work done by the air during the isentropic expansion: W 3-4;d. The work done on the air during the isentropic compression: W1-2;e. The thermal efficiency of the engine;4. What four processes make up the ideal Rankine Cycle? What is happening in an actual power plant;during the real processes that are approximated by these idealized processes?;5. A power plant is analyzed as a simple ideal Rankine cycle, with a boiler operating at 300 oC. Steam;leaves the boiler and enters the turbine as a saturated vapor. The condenser operates at 40 oC.;Sketch the cycle on a Pv and a Ts diagram and then determine;a. The pressure in the boiler: P2 = P3;b. The pressure in the condenser: P1 = P4;c. The heat added in the boiler, per kg of steam: q2-3;d. The work done by the turbine, per kg of steam: w3-4;e. The work done by the pump, per kg of steam: w 1-2;f.;The thermal efficiency of the power plant;6. A power plant is analyzed as a simple Rankine cycle with a boiler operating at a pressure of 7 MPa.;Steam leaves the boiler and enters the turbine as a superheated vapor at a temperature of 500 oC.;The condenser operates at a pressure of 10 kPa. Sketch the cycle on a Pv and a Ts diagram and;then determine;a. The temperature in the condenser: T1 = T4;b. The heat added in the boiler, per kg of steam: q2-3;c. The work done by the turbine, per kg of steam: w3-4;d. The work done by the pump, per kg of steam: w1-2;e. The thermal efficiency of the power plant

Paper#68503 | Written in 18-Jul-2015

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