1. Consider the air-standard Otto cycle with a compression ratio r = 12 and a minimum...
1. Consider the air-standard Otto cycle with a compression ratio
r = 12 and a minimum temperature and pressure of T=300K and P=1bar
and a maximum temperature of 1200K. Find the thermal efficiency and
compare to the cold air efficiency.
2. For the Otto cycle above calculate the thermal efficiency if the
maximum temperature is now, 1400, 1600, and 1800 K. Comment on the
trend.
3. For the Diesel cycle with a compression ratio of 18, a minimum
temperature and pressure of T = 300K and P=1 bar and a maximum
temperature of 1600K, find the thermal efficiency if the cutoff
ratio is 1, 2, and 3. Comment on the trend, noting particularly the
meaning of a cutoff ratio of 1.
Homework Answers
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1. Consider the air-standard Otto cycle with a compression ratio
r = 12 and a minimum...
Problem 9.001 SI At the beginning of the compression process of an air-standard Otto cycle, p1...
Problem 9.001 SI At the beginning of the compression process of an air-standard Otto cycle, p1 1 bar and T1 300 K. The compression ratio is 6 and the heat addition per unit mass of air is 1400 kJ/kg Determine: (a) the maximum temperature of the cycle, in K. (b) the net work, in kJ/kg. (c) the percent thermal efficiency of the cycle (d) the mean effective pressure, in kPa.
Temperature and pressure at the beginning of the compression process of an air-standard Otto cycle are...
Temperature and pressure at the beginning of the compression process of an air-standard Otto cycle are 295 K and 100 kPa, respectively. The compression ratio is 10 and the maximum temperature during the cycle is 2200 K. Draw P-v and T-s diagrams of the cycle and determine: a) The net work in kJ/kg. b) The thermal efficiency. c) The mean effective pressure, in kPa. Assume R = 287 J/kg.K for air.
1. At the beginning of the compression process of an air-standard Otto cycle, P bar, T1...
1. At the beginning of the compression process of an air-standard Otto cycle, P bar, T1 = 290 K, Vi = 400 cm. The maximum temperature in the cycle is 2200 K and the compression ratio is 8. Determine (a) the heat addition, in kJ (b) the net work, in kJ. (c) the thermal efficiency. (d) the mean effective pressure, in bar.
(12 points) An ideal Otto cycle operates with a compression ratio of 10. At the beginning...
(12 points) An ideal Otto cycle operates with a compression ratio of 10. At the beginning of the compression process, the air is at 101 kPa and 27°C. During the constant volume heat addition process, 790 kJ/kg of heat is transferred to the air. Accounting for variable specific heats with temperature, determine: the maximum temperature during the cycle 1266.862 °C the maximum pressure during the cycle 6239.424 kPa the specific net work output 475.495481 kJ/kg the mean effective pressure (MEP)...
At the beginning of the compression process of an air-standard Otto cycle, p1 = 1 bar...
At the beginning of the compression process of an air-standard Otto cycle, p1 = 1 bar and T1 = 300 K. The compression ratio is 6 and the heat addition per unit mass of air is 1300 kJ/kg. Determine: (a) the maximum temperature of the cycle, in K. (b) the net work, in kJ/kg. (c) the percent thermal efficiency of the cycle. (d) the mean effective pressure, in kPa.
Problem (3) The compression ratio of an air-standard Otto cycle is 8. At the beginning of...
Problem (3) The compression ratio of an air-standard Otto cycle is 8. At the beginning of compression process, the air is at 100 KPa, and 17 °C. 800 kJ/kg of heat is transferred to the air during the constant volume heat addition process. Determine: (a) The highest temperature in the cycle. (b) The highest pressure in the cycle. (c) The net work. (d) The thermal efficiency of the cycle.
3. Air in a standard Otto cycle is at 17°C and 1 bar and has a volume 0.4 L before compression. The compressor has a compression ratio 8. The maximum allowed temperature is 1927°C. Estimate the heat...
3. Air in a standard Otto cycle is at 17°C and 1 bar and has a volume 0.4 L before compression. The compressor has a compression ratio 8. The maximum allowed temperature is 1927°C. Estimate the heat transfer, in kJ, net work of the cycle, in kJ, the thermal efficiency, and mean effective pressure in bar.
3. Air in a standard Otto cycle is at 17°C and 1 bar and has a volume 0.4 L before compression. The compressor has...
Consider a modification of the air-standard Otto cycle in which the isentropic compression and expansion processes...
Consider a modification of the air-standard Otto cycle in which the isentropic compression and expansion processes are each replaced with polytropic processes having n = 1.35. The compression ratio is 10 for the modified cycle. At the beginning of compression, p1 = 1 bar and T1 = 310 K. The maximum temperature during the cycle is 2200 K. Determine: (a) the heat transfer and work in kJ per kg of air for each process in the modified cycle. (b) the...
A cold air-standard Otto cycle (k =1.4) has a compression ratio of 7.0. At the beginning...
A cold air-standard Otto cycle (k =1.4) has a compression ratio of 7.0. At the beginning of the compression process, P,=90 kPa, T,=27°C, and V,=0.004 m3. The maximum cycle temperature is 1127°C. For this cycle determine: (a) Sketch a P-V diagram for the cycle and label the data states (b) the net work output (kW) (c) the thermal efficiency Page 5 of 6
An air-standard Diesel cycle has a compression ratio of 16 and a cutoff ratio of 2....
An air-standard Diesel cycle has a compression ratio of 16 and a cutoff ratio of 2. At the beginning of the com pression process, air is at 95 kPa and 27℃ Accounting for the variation of specific heats with temperature, determine (a) the temperature after the heat-addition process, (b) the thermal efficiency, and (c) the mean effective pressure
Problem 9.001 SI At the beginning of the compression process of an air-standard Otto cycle, p1 1 bar and T1 300 K. The compression ratio is 6 and the heat addition per unit mass of air is 1400 kJ/kg Determine: (a) the maximum temperature of the cycle, in K. (b) the net work, in kJ/kg. (c) the percent thermal efficiency of the cycle (d) the mean effective pressure, in kPa.
Temperature and pressure at the beginning of the compression process of an air-standard Otto cycle are 295 K and 100 kPa, respectively. The compression ratio is 10 and the maximum temperature during the cycle is 2200 K. Draw P-v and T-s diagrams of the cycle and determine: a) The net work in kJ/kg. b) The thermal efficiency. c) The mean effective pressure, in kPa. Assume R = 287 J/kg.K for air.
1. At the beginning of the compression process of an air-standard Otto cycle, P bar, T1 = 290 K, Vi = 400 cm. The maximum temperature in the cycle is 2200 K and the compression ratio is 8. Determine (a) the heat addition, in kJ (b) the net work, in kJ. (c) the thermal efficiency. (d) the mean effective pressure, in bar.
(12 points) An ideal Otto cycle operates with a compression ratio of 10. At the beginning of the compression process, the air is at 101 kPa and 27°C. During the constant volume heat addition process, 790 kJ/kg of heat is transferred to the air. Accounting for variable specific heats with temperature, determine: the maximum temperature during the cycle 1266.862 °C the maximum pressure during the cycle 6239.424 kPa the specific net work output 475.495481 kJ/kg the mean effective pressure (MEP)...
Problem (3) The compression ratio of an air-standard Otto cycle is 8. At the beginning of compression process, the air is at 100 KPa, and 17 °C. 800 kJ/kg of heat is transferred to the air during the constant volume heat addition process. Determine: (a) The highest temperature in the cycle. (b) The highest pressure in the cycle. (c) The net work. (d) The thermal efficiency of the cycle.
3. Air in a standard Otto cycle is at 17°C and 1 bar and has a volume 0.4 L before compression. The compressor has a compression ratio 8. The maximum allowed temperature is 1927°C. Estimate the heat transfer, in kJ, net work of the cycle, in kJ, the thermal efficiency, and mean effective pressure in bar.
3. Air in a standard Otto cycle is at 17°C and 1 bar and has a volume 0.4 L before compression. The compressor has...
A cold air-standard Otto cycle (k =1.4) has a compression ratio of 7.0. At the beginning of the compression process, P,=90 kPa, T,=27°C, and V,=0.004 m3. The maximum cycle temperature is 1127°C. For this cycle determine: (a) Sketch a P-V diagram for the cycle and label the data states (b) the net work output (kW) (c) the thermal efficiency Page 5 of 6
An air-standard Diesel cycle has a compression ratio of 16 and a cutoff ratio of 2. At the beginning of the com pression process, air is at 95 kPa and 27℃ Accounting for the variation of specific heats with temperature, determine (a) the temperature after the heat-addition process, (b) the thermal efficiency, and (c) the mean effective pressure
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