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1-prove that the air standard efficiency of an engine working on the constant volume cycle is given by 1-- Calculate the air standard efficiency of an engine working on this cycle. If the pressure at the beginning and the end of compression, are 103.5kPa and 827.5 kPa, respectively. Take y =1.4 (44.7%)

1-prove that the air standard efficiency of an engine working on the constant volume cycle is given by 1-- Calculate the air standard efficiency of an engine working on this cycle. If the pressure at the beginning and the end of compression, are 103.5kPa and 827.5 kPa, respectively. Take y =1.4 (44.7%)

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
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397 82 B/s O 11:50 Q2 Sheet No. Eight 1-prove that the air standard efficiency of an engine working on the constant volume cycle is given by 1- Calculate the air standard efficiency of an engine working on this cycle. If the pressure at the beginning and the end of compression, are 103.5kPa and 827.5 kPa, respectively. Take y =1.4 (44.7%) 2- An internal combustion engine has a bore of 200 mm and stroke of 380 mm. The clearance volume is 0.003 m'. Determine the air standard efficiency and indicated thermal efficiency , taking y=1.4 and an efficiency ratio is 60%. (0.472, 0.2835) 3-a- establish an expression in terms of the volume ratio of compression for the ideal thermal efficiency of an engine working on the constant volume cycle. b- The diameter of the piston of a petrol engine is 100 mm and the stroke is 100m. The clearance volume is 0.105 lit. if its relative efficiency is 0.4, calculate the actual thermal efficiency. 4-Show thsat for ideal constant pressure cycle, the thermal efficiency is given by (0.231) . in an engine working on the ideal constant pressure cycle, the adiabatic 1- Thermodynamics 2nd Year University of Misan Dr. Ali Al-Jubainawi. College of Engineering Mechanical Engineering Dept. compression and expansion volume ratio is 4.5 and 50kJ are rejected at constant pressure per cycle. Determine the work done per cycle. 5- a mass of 0.5 kg of air is taken through a constant pressure cycle. Condition at the beginning of adiabatic compression are 96.5 kPa and 15°C. The pressure ratio of compression is 6. Constant pressure heat addition occurs after adiabatic compression until the volume is doubled. Determine a-the thermal efficiency b-the heat received per cycle c- the work done by the cycle. 6-In an ideal diesel cycle the pressure and the temperature at the beginning of compression are 98.5 kPa and 60°C, respectively. The maximum pressure attend during the cycle is 4.5MPA and heat received during the cycle is 580KJ/kg. Determine a-the compression ratio b- the temperature at the end of compression b- the temperature at the end of combustion.y-14.p - 1.003J I kgk (15.3:1, 721°C, 1300°C) 7- At the commencement of the compression stroke, the cylinder of an oil engine is charged with air at 96.5kPa and 65°C. Compression takes place to 1/14th of the (41.2kJ) (0.4, 240KJ, 960kJ) original volume according to the law PV35 -C. Fuel the injected, the mass of the fuel injected being 1/40th of that of the air in the cylinder, and combustion takes place at constant pressure. Taking t5he calorific value of the oil as 44000kJ/kg, determine a- the theoretical pressure and temperature after compression b- the theoretical temperature after combustion c- the fraction of the stroke at which combustion is theoretically complete, ep-1.003KJ/kg.K (3400kPa, 579°C, 1649'c, 0.0967) 8-A diesel engine has a clearance volume is 0.00025m and bore and stroke of 152.5mm and 200mm, respectively. A charge of air at 100kPa and 20°C is taken into the cylinder and compressed adiabatically y=1.4. After combustion at constant pressure the temperature is 1090°C. The expansion which follows is adiabatic. Find a- the temperature and the pressure at the end of compression b- the temperature and pressure after expansion c- the ideal thermal efficiency of the engine (591°C.4400kPa,227°C,188kPa,0.633) 9-In an ideal dual combustion cycle conditions at the commencement of the adiabatic compression are 93kPa, 0.05m and 24 °C. respectively. The adiabatic compression volume ratio is 9:1. The constant volume heat addition pressure ratio is 1.5 and the constant pressure heat addition volume ratio is 2, if cp=1.05, cv=0.7745 kJ/kgK. Determine a- the pressure, volume and temperature at the state points of the cycle b- the thermal efficiency of the cycle c- the work done by the cycle a- Pi-93 VI-0.05 TI-24 P2-INIS V2-0.0056 T2371 P3-27225 V3-0.0056 P4-27225 V4-0.0112 T4-1657 PS359 VS-005 TS-K72 15 15
Transcribed Image Text:397 82 B/s O 11:50 Q2 Sheet No. Eight 1-prove that the air standard efficiency of an engine working on the constant volume cycle is given by 1- Calculate the air standard efficiency of an engine working on this cycle. If the pressure at the beginning and the end of compression, are 103.5kPa and 827.5 kPa, respectively. Take y =1.4 (44.7%) 2- An internal combustion engine has a bore of 200 mm and stroke of 380 mm. The clearance volume is 0.003 m'. Determine the air standard efficiency and indicated thermal efficiency , taking y=1.4 and an efficiency ratio is 60%. (0.472, 0.2835) 3-a- establish an expression in terms of the volume ratio of compression for the ideal thermal efficiency of an engine working on the constant volume cycle. b- The diameter of the piston of a petrol engine is 100 mm and the stroke is 100m. The clearance volume is 0.105 lit. if its relative efficiency is 0.4, calculate the actual thermal efficiency. 4-Show thsat for ideal constant pressure cycle, the thermal efficiency is given by (0.231) . in an engine working on the ideal constant pressure cycle, the adiabatic 1- Thermodynamics 2nd Year University of Misan Dr. Ali Al-Jubainawi. College of Engineering Mechanical Engineering Dept. compression and expansion volume ratio is 4.5 and 50kJ are rejected at constant pressure per cycle. Determine the work done per cycle. 5- a mass of 0.5 kg of air is taken through a constant pressure cycle. Condition at the beginning of adiabatic compression are 96.5 kPa and 15°C. The pressure ratio of compression is 6. Constant pressure heat addition occurs after adiabatic compression until the volume is doubled. Determine a-the thermal efficiency b-the heat received per cycle c- the work done by the cycle. 6-In an ideal diesel cycle the pressure and the temperature at the beginning of compression are 98.5 kPa and 60°C, respectively. The maximum pressure attend during the cycle is 4.5MPA and heat received during the cycle is 580KJ/kg. Determine a-the compression ratio b- the temperature at the end of compression b- the temperature at the end of combustion.y-14.p - 1.003J I kgk (15.3:1, 721°C, 1300°C) 7- At the commencement of the compression stroke, the cylinder of an oil engine is charged with air at 96.5kPa and 65°C. Compression takes place to 1/14th of the (41.2kJ) (0.4, 240KJ, 960kJ) original volume according to the law PV35 -C. Fuel the injected, the mass of the fuel injected being 1/40th of that of the air in the cylinder, and combustion takes place at constant pressure. Taking t5he calorific value of the oil as 44000kJ/kg, determine a- the theoretical pressure and temperature after compression b- the theoretical temperature after combustion c- the fraction of the stroke at which combustion is theoretically complete, ep-1.003KJ/kg.K (3400kPa, 579°C, 1649'c, 0.0967) 8-A diesel engine has a clearance volume is 0.00025m and bore and stroke of 152.5mm and 200mm, respectively. A charge of air at 100kPa and 20°C is taken into the cylinder and compressed adiabatically y=1.4. After combustion at constant pressure the temperature is 1090°C. The expansion which follows is adiabatic. Find a- the temperature and the pressure at the end of compression b- the temperature and pressure after expansion c- the ideal thermal efficiency of the engine (591°C.4400kPa,227°C,188kPa,0.633) 9-In an ideal dual combustion cycle conditions at the commencement of the adiabatic compression are 93kPa, 0.05m and 24 °C. respectively. The adiabatic compression volume ratio is 9:1. The constant volume heat addition pressure ratio is 1.5 and the constant pressure heat addition volume ratio is 2, if cp=1.05, cv=0.7745 kJ/kgK. Determine a- the pressure, volume and temperature at the state points of the cycle b- the thermal efficiency of the cycle c- the work done by the cycle a- Pi-93 VI-0.05 TI-24 P2-INIS V2-0.0056 T2371 P3-27225 V3-0.0056 P4-27225 V4-0.0112 T4-1657 PS359 VS-005 TS-K72 15 15
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