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1- Two stage compressor with suction pressure and temperature of (100kPa) and (300K). The compression ratio for the low pressure stage is (5.5:1) and for high pressure ratio is (6.5:1). The temperature of the air leaving the intercooler is (47°C). Determine the work done in the two stages of compression on air, the heat loses in the two stages. Take the compression according to PV¹2C. 2- Prove that the heat rejected from a compressor, of the compression is according to the law PV-C is determined by the following relation for each stage. ('-.*)--(*#* -»)- *·

1- Two stage compressor with suction pressure and temperature of (100kPa) and (300K). The compression ratio for the low pressure stage is (5.5:1) and for high pressure ratio is (6.5:1). The temperature of the air leaving the intercooler is (47°C). Determine the work done in the two stages of compression on air, the heat loses in the two stages. Take the compression according to PV¹2C. 2- Prove that the heat rejected from a compressor, of the compression is according to the law PV-C is determined by the following relation for each stage. ('-.*)--(*#* -»)- *·

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
Problem 1.1MA
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Problems-3 1- Two stage compressor with suction pressure and temperature of (100kPa) and (300K). The compression ratio for the low pressure stage is (5.5:1) and for high pressure ratio is (6.5:1). The temperature of the air leaving the intercooler is (47°C). Determine the work done in the two stages of compression on air, the heat loses in the two stages. Take the compression according to PVC. 2- Prove that the heat rejected from a compressor, of the compression is according to the law PV-C is determined by the following relation for each stage. n(k-1 CpT k(n-1)) 3- Two stage air compressor compress air from (100kPa), (300K) to (4200kPa). The compression is according to (PV32 C), the intercooling is ideal. Find 1- the work done in the compressor.2- the required quantity of water to absorb the heat in the intercooling if the water temperature rice not exceed (15°C). 3- the heat loses by the two stages and the intercooling. 4- Two stage compressor delivered air at (1760kPa). The compression is according to PV-C for both stages. Clearance volume for the low pressure cylinder is (4%)of the stroke volume. At the beginning of compression stroke for the low pressure cylinder, the pressure is (100kPa). The atmospheric pressure and temperature are (105kPa) and (25°C) respectively. The temperature at the beginning of every compression stroke is (35°C) and the intermediate pressure is (400kPa). Determine the volumetric efficiency and the compressor work per (kg) of air. 5- Multi stages compressor is designed to rise the pressure from (100kPa) to (10000kPa). The compression ratio do not exceed (4:1). Determine (1) number of stages (2) the actual compression ratio (3) inter mediate pressure. 78 6- Three stages air compressor compresses air from (100kPa) to (3300kPa) and delivered to the storage tank at the high pressure. The initial temperature is (27°C) and the compression is according to the law (PV2C) for all compression stages. By assuming the maximum work and ideal intercooling and neglecting effects of valves and clearances, determine the power required to compress (16m'/min) measured at the compression line and the intermediate pressures. 7- Three stages compressor takes the air at pressure (100kPa) and temperature (27°C) and delivers it at (800okPa. Considering ideal intercooling Find the minimum work done in the compressor per (Ikg) and the heat rejected in the intercoolers if the compression is according to PV22. 8- Three stage single acting air compressor with ideal intercoolers takes air with a pressure and temperature at the end of the suction line (100kPa) and (27°C) respectively. The delivering from the last stage at a pressure of (7200kPa). The volumetric flow rate of air at the end of the suction condition is (8m'/min).for minimum work required determine: 1) the output pressure of the first and second stage.2) cylinders volume ratio. 3) indicating energy required. Neglecting the clearance and assuming the compression according to PV12 C. 9- Determine the brake work of two stage compressor that compresses (300m'/hr)of air from (100kPa) and (27°C) to (3400kPa). The air is cooled by intercooler to (40°C) at pressure (600kPa). Assume the mechanical efficiency to be (85%) and the compression is adiabatic. 10- Compressor compresses air to (1050kPa). The pressure and temperature of air entering the compressor at the suction line are (100kPa) and (300K) respectively. The air enters the high pressure stage after leaving the intercooler at (35°C) and (350kPa). Determine 1- the power required to compress (22.5kg/min) of air. 2- the water mass flow rate to intercooler if the temperature rise of (5°C). assume the polyyropic index is (1.25). 11- Determine the minimum work required to compress air at (100kPa) and (300K) to (900kPa) in two stages. The compression is adiabatic and the intercooler is ideal. Find the save in energy as comparison with single compression. 12- Two stage compressor compress air from (100kPa) and (300K) to (3600kPa) for minimum work and ideal intercooler. Determine the cylinders diameter ratio if the stroke length is equal for the two stages. Determine the work done per kg of air, if the compression according to PV13 C
Transcribed Image Text:Problems-3 1- Two stage compressor with suction pressure and temperature of (100kPa) and (300K). The compression ratio for the low pressure stage is (5.5:1) and for high pressure ratio is (6.5:1). The temperature of the air leaving the intercooler is (47°C). Determine the work done in the two stages of compression on air, the heat loses in the two stages. Take the compression according to PVC. 2- Prove that the heat rejected from a compressor, of the compression is according to the law PV-C is determined by the following relation for each stage. n(k-1 CpT k(n-1)) 3- Two stage air compressor compress air from (100kPa), (300K) to (4200kPa). The compression is according to (PV32 C), the intercooling is ideal. Find 1- the work done in the compressor.2- the required quantity of water to absorb the heat in the intercooling if the water temperature rice not exceed (15°C). 3- the heat loses by the two stages and the intercooling. 4- Two stage compressor delivered air at (1760kPa). The compression is according to PV-C for both stages. Clearance volume for the low pressure cylinder is (4%)of the stroke volume. At the beginning of compression stroke for the low pressure cylinder, the pressure is (100kPa). The atmospheric pressure and temperature are (105kPa) and (25°C) respectively. The temperature at the beginning of every compression stroke is (35°C) and the intermediate pressure is (400kPa). Determine the volumetric efficiency and the compressor work per (kg) of air. 5- Multi stages compressor is designed to rise the pressure from (100kPa) to (10000kPa). The compression ratio do not exceed (4:1). Determine (1) number of stages (2) the actual compression ratio (3) inter mediate pressure. 78 6- Three stages air compressor compresses air from (100kPa) to (3300kPa) and delivered to the storage tank at the high pressure. The initial temperature is (27°C) and the compression is according to the law (PV2C) for all compression stages. By assuming the maximum work and ideal intercooling and neglecting effects of valves and clearances, determine the power required to compress (16m'/min) measured at the compression line and the intermediate pressures. 7- Three stages compressor takes the air at pressure (100kPa) and temperature (27°C) and delivers it at (800okPa. Considering ideal intercooling Find the minimum work done in the compressor per (Ikg) and the heat rejected in the intercoolers if the compression is according to PV22. 8- Three stage single acting air compressor with ideal intercoolers takes air with a pressure and temperature at the end of the suction line (100kPa) and (27°C) respectively. The delivering from the last stage at a pressure of (7200kPa). The volumetric flow rate of air at the end of the suction condition is (8m'/min).for minimum work required determine: 1) the output pressure of the first and second stage.2) cylinders volume ratio. 3) indicating energy required. Neglecting the clearance and assuming the compression according to PV12 C. 9- Determine the brake work of two stage compressor that compresses (300m'/hr)of air from (100kPa) and (27°C) to (3400kPa). The air is cooled by intercooler to (40°C) at pressure (600kPa). Assume the mechanical efficiency to be (85%) and the compression is adiabatic. 10- Compressor compresses air to (1050kPa). The pressure and temperature of air entering the compressor at the suction line are (100kPa) and (300K) respectively. The air enters the high pressure stage after leaving the intercooler at (35°C) and (350kPa). Determine 1- the power required to compress (22.5kg/min) of air. 2- the water mass flow rate to intercooler if the temperature rise of (5°C). assume the polyyropic index is (1.25). 11- Determine the minimum work required to compress air at (100kPa) and (300K) to (900kPa) in two stages. The compression is adiabatic and the intercooler is ideal. Find the save in energy as comparison with single compression. 12- Two stage compressor compress air from (100kPa) and (300K) to (3600kPa) for minimum work and ideal intercooler. Determine the cylinders diameter ratio if the stroke length is equal for the two stages. Determine the work done per kg of air, if the compression according to PV13 C
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