Consider the expansion of N2 to a volume ten times larger than its initial volume. The...
Consider the expansion of N2 to a volume ten times larger than its initial volume. The initial temperature and pressure are 1800 K and 2 MPa, respectively. Determine the final-state temperature and pressure for (a) an isentropic expansion (γ = 1.4) and (b) a polytropic expansion with n = 1.25.
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Consider the expansion of N2 to a volume ten times larger than
its initial volume. The...
Air in a piston-cylinder assembly undergoes a polytropic expansion in which the pressure – specific volume...
Air in a piston-cylinder assembly undergoes a polytropic expansion in which the pressure – specific volume relation is p. V..2=constant. The initial volume is 0.5 m², the initial temperature is 500 K and initial pressure is 600 kPa. The final pressure is 300 kPa. Determine (a) the mass of air, in kg (b) the boundary work, in kJ (c) the final temperature in K and (d) the heat transfer, in kJ.
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 = 1.25. The compression ratio is 8 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...
1.Water vapor contained in a piston–cylinder assembly undergoes an isothermal expansion at 277°C from a pressure...
1.Water vapor contained in a piston–cylinder assembly undergoes an isothermal expansion at 277°C from a pressure of 5.1 bar to a pressure of 2.7 bar. Evaluate the work, in kJ/kg. 2.Nitrogen (N2) contained in a piston–cylinder arrangement, initially at 9.3 bar and 437 K, undergoes an expansion to a final temperature of 300 K, during which the pressure–volume relationship is pV1.1 = constant. Assuming the ideal gas model for the N2, determine the heat transfer in kJ/kg. 3.Argon contained in...
1.Argon contained in a closed, rigid tank, initially at 62.3°C, 3.9 bar, and a volume of...
1.Argon contained in a closed, rigid tank, initially at 62.3°C, 3.9 bar, and a volume of 4.2 m3, is heated to a final pressure of 9.4 bar. Assuming the ideal gas model with k = 1.6 for the argon, determine the heat transfer, in kJ. 2.Water vapor contained in a piston–cylinder assembly undergoes an isothermal expansion at 223°C from a pressure of 5.4 bar to a pressure of 1.9 bar. Evaluate the work, in kJ/kg. 3.A mass of 4 kilograms...
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...
After a free expansion to increase its volume by a factor of eight, a mole of...
After a free expansion to increase its volume by a factor of eight, a mole of ideal diatomic gas is compressed back to its original volume isobarically and then warmed up isochorically to its original temperature. What is the heat added to the gas in the final step to restoring its original state? (Use the following as necessary: p0 for the initial pressure and V0 for the initial volume.)
(a) An ideal gas initially at pressure po undergoes a free expansion until its volume is...
(a) An ideal gas initially at pressure po undergoes a free expansion until its volume is 5.30 times its initial volume. What then is the ratio of its pressure to po? (b) The gas is next slowly and adiabatically compressed back to its original volume. The pressure after compression is (5.30)1/3po. Is the gas monatomic, diatomic, or polyatomic? (c) What is the ratio of the average kinetic energy per molecule in this final state to that in the initial state?...
After a free expansion to increase its volume by a factor of six, a mole of...
After a free expansion to increase its volume by a factor of six, a mole of ideal monatomic gas is compressed back to its original volume isobarically and then warmed up isochorically to its original temperature. What is the heat added to the gas in the final step to restoring its original state? (Use the following as necessary: p0 for the initial pressure and V0 for the initial volume.) (The answer is not 7.5*p_0*v_0)
(a) An ideal gas initially at pressure po undergoes a free expansion until its volume is...
(a) An ideal gas initially at pressure po undergoes a free expansion until its volume is 2.30 times its initial volume. What then is the ratio of its pressure to po? (b) The gas is next slowly and adiabatically compressed back to its original volume. The pressure after compression is (2.30)1/320. Is the gas monatomic, diatomic, or polyatomic? (c) What is the ratio of the average kinetic energy per molecule in this final state to that in the initial state?...
(a) An ideal gas initially at pressure po undergoes a free expansion until its volume is...
(a) An ideal gas initially at pressure po undergoes a free expansion until its volume is 4.10 times its initial volume. What then is the ratio of its pressure to po? (b) The gas is next slowly and adiabatically compressed back to its original volume. The pressure after compression is (4.10)1/3po. Is the gas monatomic, diatomic, or polyatomic? (c) What is the ratio of the average kinetic energy per molecule in this final state to that in the initial state?...
Air in a piston-cylinder assembly undergoes a polytropic expansion in which the pressure – specific volume relation is p. V..2=constant. The initial volume is 0.5 m², the initial temperature is 500 K and initial pressure is 600 kPa. The final pressure is 300 kPa. Determine (a) the mass of air, in kg (b) the boundary work, in kJ (c) the final temperature in K and (d) the heat transfer, in kJ.
(a) An ideal gas initially at pressure po undergoes a free expansion until its volume is 5.30 times its initial volume. What then is the ratio of its pressure to po? (b) The gas is next slowly and adiabatically compressed back to its original volume. The pressure after compression is (5.30)1/3po. Is the gas monatomic, diatomic, or polyatomic? (c) What is the ratio of the average kinetic energy per molecule in this final state to that in the initial state?...
(a) An ideal gas initially at pressure po undergoes a free expansion until its volume is 2.30 times its initial volume. What then is the ratio of its pressure to po? (b) The gas is next slowly and adiabatically compressed back to its original volume. The pressure after compression is (2.30)1/320. Is the gas monatomic, diatomic, or polyatomic? (c) What is the ratio of the average kinetic energy per molecule in this final state to that in the initial state?...
(a) An ideal gas initially at pressure po undergoes a free expansion until its volume is 4.10 times its initial volume. What then is the ratio of its pressure to po? (b) The gas is next slowly and adiabatically compressed back to its original volume. The pressure after compression is (4.10)1/3po. Is the gas monatomic, diatomic, or polyatomic? (c) What is the ratio of the average kinetic energy per molecule in this final state to that in the initial state?...
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