A certain ideal gas (unknown) inside a close piston-cylinder assembly undergoes a set of processes that composed of Isothermal expansion from State point 1 to state point 2, Isometric heat rejection from state point 2 to state point 3, and Isentropic compression from state point 3 back to the initial condition. If the maximum pressure is 3000kPa and maximum and minimum volume is 200cm and 50cm', analyze the problem and perform the following: a. Draw and label the graph of this set of processes in the P-V and T-S diagram showing the state point numbers and energy directions. b. From the known ideal gases as shown in Table 1.0, select the best suited ideal gas to attain the processes stated if the lowest pressure is limited to 629.8kPa. Assume a constant specific heat. c. For the selected ideal gas from b, compute the work of compression (kJ/kg), work of expansion (kJ/kg), and heat rejected (kJ/kg) Table 1.0: Ideal gas specific heats of various common gases Gas constant, R kgK Gas Formula 0.718 0.3122 1.5734 0.657 0.744 14897 1.2518 3.1156 10.183 1.7354 0.6179 0.743 1.6385 0.658 14909 14108 Air 0.2870 1.005 0.5203 1.7164 0.846 1.040 1.7662 1.5482 5.1926 14.307 2.2537 1.0299 1.039 1.7113 0.918 1.6794 1.8723 1.400 1.667 1.091 1.289 1.400 1.186 1.237 1.667 1.405 1.299 1.667 1.400 1.044 0.2081 0.1433 0.1889 0.2968 0.2765 0.2964 Argon Butane Carbon diaxide Carbon monoxide Ethane Ethylene Helium 2.0769 4.1240 0.5182 0.4119 0.2968 0.0729 0.2598 0.1885 0.4615 Hydrogen Methane Neon Nitrogen Octane Onygen Propane Steam 1.395 1.126 1.327
A certain ideal gas (unknown) inside a close piston-cylinder assembly undergoes a set of processes that composed of Isothermal expansion from State point 1 to state point 2, Isometric heat rejection from state point 2 to state point 3, and Isentropic compression from state point 3 back to the initial condition. If the maximum pressure is 3000kPa and maximum and minimum volume is 200cm and 50cm', analyze the problem and perform the following: a. Draw and label the graph of this set of processes in the P-V and T-S diagram showing the state point numbers and energy directions. b. From the known ideal gases as shown in Table 1.0, select the best suited ideal gas to attain the processes stated if the lowest pressure is limited to 629.8kPa. Assume a constant specific heat. c. For the selected ideal gas from b, compute the work of compression (kJ/kg), work of expansion (kJ/kg), and heat rejected (kJ/kg) Table 1.0: Ideal gas specific heats of various common gases Gas constant, R kgK Gas Formula 0.718 0.3122 1.5734 0.657 0.744 14897 1.2518 3.1156 10.183 1.7354 0.6179 0.743 1.6385 0.658 14909 14108 Air 0.2870 1.005 0.5203 1.7164 0.846 1.040 1.7662 1.5482 5.1926 14.307 2.2537 1.0299 1.039 1.7113 0.918 1.6794 1.8723 1.400 1.667 1.091 1.289 1.400 1.186 1.237 1.667 1.405 1.299 1.667 1.400 1.044 0.2081 0.1433 0.1889 0.2968 0.2765 0.2964 Argon Butane Carbon diaxide Carbon monoxide Ethane Ethylene Helium 2.0769 4.1240 0.5182 0.4119 0.2968 0.0729 0.2598 0.1885 0.4615 Hydrogen Methane Neon Nitrogen Octane Onygen Propane Steam 1.395 1.126 1.327
Principles of Heat Transfer (Activate Learning with these NEW titles from Engineering!)
8th Edition
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Author:Kreith, Frank; Manglik, Raj M.
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Chapter2: Steady Heat Conduction
Section: Chapter Questions
Problem 2.63P
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Transcribed Image Text:A certain ideal gas (unknown) inside a close piston-cylinder assembly undergoes a set of processes
that composed of Isothermal expansion from State point 1 to state point 2, Isometric heat rejection
from state point 2 to state point 3, and Isentropic compression from state point 3 back to the initial
condition. If the maximum pressure is 3000kPa and maximum and minimum volume is 200cm and
50cm, analyze the problem and perform the following:
a. Draw and label the graph of this set of processes in the P-V and T-S diagram showing the state
point numbers and energy directions.
b. From the known ideal gases as shown in Table 1.0, select the best suited ideal gas to attain the
processes stated if the lowest pressure is limited to 629.8kPa. Assume a constant specific heat.
c. For the selected ideal gas from b, compute the work of compression (kJ/kg), work of expansion
(kJ/kg), and heat rejected (kJ/kg)
Table 1.0: Ideal gas specific heats of various common gases
Gas constant, R
kkg-K
kikg-K
Gas
Formula
0.718
0.3122
1.5734
0.657
0.744
1.4897
1.2518
3.1156
10.183
1.7354
0.6179
0.743
1.6385
0.658
Air
0.2870
0.2081
Argon
Butane
Carbon dioxide
Carbon monoxide
Ethane
1.005
0.5203
1.7164
0.846
1.040
1.7662
1.5482
1.400
1.667
1.091
1.289
1.400
1.186
Ar
0.1433
0.1889
0.2968
0.2765
0.2964
2.0769
4.1240
Ethylene
Helium
C,H.
He
5.1926
14.307
2.2537
1.0299
1.039
1.7113
1.237
1.667
1.405
1.299
1.667
1.400
1.044
1.395
1.126
1.327
Hydrogen
Methane
Neon
0.5182
0.4119
0.2968
0.0729
0.2598
0.1885
0.4615
Ne
Nitrogen
Octane
Ng
CHa
Oxygen
Propane
Steam
CH,
H,0
0.918
1.6794
1.8723
1.4909
1.4108
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