Compressed Air Engine Constant Pressure Expansion Work = P * (Vf – Vi) = Pressure Volume Temperature (Atmospheres) (metres^3) K C 300.000 0.00333 283 10 300.000 0.00402 341 68 300.000 0.00470 399 126 300.000 0.00538 457 184 300.000 0.00607 515 242 300.000 0.00675 573 300 (1 Atmosphere = 101,325 Pa)
103,831 F 50 154.4 258.8 363.2 467.6 572
Colin Dunstan
Joules P(Pa)V(M3)/T(K) 358.03840 358.03840 358.03840 358.03840 358.03840 358.03840
Isothermal Expansion Pressure (Atmospheres) 300.000 157.092 82.260 43.075 22.556 11.811
Work =n RT * ln(Vf/Vi) Volume (metres^3) 0.00675 0.01289 0.02461 0.04701 0.08977 0.17143
= K 573 573 573 573 573 573
663,629 Temperature C 300 300 300 300 300 300
F 572 572 572 572 572 572
Adiabatic Expansion : Diatomic Gas Work = (-5/2) * n R * (T2-T1) = Pressure Volume Temperature (Atmospheres) (metres^3) K C 11.811 0.17143 573 300 7.208 0.24393 498 225 4.399 0.34710 432 159 2.685 0.49389 375 102 1.639 0.70277 326 53 1.000 1.00000 283 10
Universal Gas Constant ( R ) Pressure Volume (Atmospheres) (metres^3) 1.000 0.02240
Temperature K C 273 0
Moles of Gas ( n ) Pressure (Atmospheres) 1.000
K 283
Volume (metres^3) 1.00000
Total Work Done: Constant Pressure Expansion Isothermal Expansion Adiabatic Expansion : Diatomic Gas Total Work Other Than Isothermal: Constant Pressure Expansion Adiabatic Expansion : Diatomic Gas
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259,578 F 572 436 318 216 127 50
Joules P(Pa)V(M3)/T(K) 358.03840 358.03840 358.03840 358.03840 358.03840 358.03840
Joules P(Pa)V(M3)/T(K) P(Pa)V(M3)x 358.03887 358.03887 358.03887 358.03887 358.03887 358.03887
101,325.00 101,325.00 101,325.00 101,325.00 101,325.00 101,325.00
P(Pa)V(M3)/T(K) F R 32 8.31385
Moles n 1.00
P(Pa)V(M3)/T(K)
Temperature C 10
(x=1.4)
F 50
358.03887
Moles n 43.07
103,831 663,629 259,578 1,027,038
Joules Joules Joules Joules
8.31384
Joules / (Mole.K) = R
20.78456 29.09840
Joules / (Mole.K) = Cv Joules / (Mole.K) = Cp
103,831 259,578 363,409
Joules Joules Joules
29.09840
Joules / (Mole.K) = Cp
25/02/2008
Compressed Air Engine
H2(g) +
½ O2(g)
=>
CH4(g) C(s) + 2 H2(g) + CH4(g) +
<= O2(g) O2(g) => 2 O2(g) =>
C(s) + => => CO2(g) +
Colin Dunstan
H2O(g)
+
241,800
Joules / Mole
2 H2(g) CO2(g) 2 H2O(g) 2 H2O(g)
+ + +
74,800 393,500 483,600 802,300
Joules / Mole Joules / Mole Joules / Mole Joules / Mole
Assuming Isothermal Expansion
Pressure (atmospheres)
350 300 250 200 150 100 50 0 0.00
0.01
0.10
Volume (metres^3) Constant Pressure Expansion
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Isothermal Expansion
25/02/2008
Adiabatic Expansion : Diatomic Gas
1.00