Compressed Air Engine Constant Pressure Expansion (at Pa) Work = P * (Vf – Vi) = Pressure Volume Temperature (Atmospheres) (metres^3) K C 300.000 0.00333 283 10 300.000 0.00437 371 98 300.000 0.00540 459 186 300.000 0.00643 546 273 300.000 0.00747 634 361 300.000 0.00850 722 449 (1 Atmosphere = 101,325 Pascals) Adiabatic Expansion : Diatomic Gas (Pa => Pb) Work = (-5/2) * n R * (T2-T1) = Pressure Volume Temperature (Atmospheres) (metres^3) K C 300.000 0.00850 722 449 255.199 0.00954 689 416 217.089 0.01071 658 385 184.670 0.01202 628 355 157.092 0.01350 600 327 133.633 0.01515 573 300
157,145 F 50 208 366 524 682 840
133,314 F 840 781 725 672 621 572
Constant Pressure Expansion (at Pb) Work = P * (Vf – Vi) = Pressure Volume Temperature (Atmospheres) (metres^3) K C 133.633 0.01515 573 300 133.633 0.01594 603 330 133.633 0.01672 633 360 133.633 0.01751 662 389 133.633 0.01830 692 419 133.633 0.01909 722 449
Adiabatic Expansion : Diatomic Gas (Pb => Pc) Work = (-5/2) * n R * (T2-T1) = Pressure Volume Temperature (Atmospheres) (metres^3) K C 133.633 0.01909 722 449 113.677 0.02143 689 416 96.701 0.02405 658 385 82.260 0.02699 628 355 69.975 0.03030 600 327 59.526 0.03401 573 300
53,342 F 572 626 679 733 786 840
133,314
Constant Pressure Expansion (at Pc) Work = P * (Vf – Vi) = Pressure Volume Temperature (Atmospheres) (metres^3) K C 59.526 0.03401 573 300 59.526 0.03578 603 330 59.526 0.03755 633 360 59.526 0.03932 662 389 59.526 0.04109 692 419 59.526 0.04286 722 449
Page 1 of 3
25/02/2008
F 840 781 725 672 621 572
53,348 F 572 626 679 733 786 840
Colin Dunstan
Joules P(Pa)V(M3)/T(K) 357.96100 357.96100 357.96100 357.96100 357.96100 357.96100
Joules P(Pa)V(M3)/T(K) P(Pa)V(M3)x 357.96100 357.96100 357.96100 357.96100 357.96100 357.96100
(x=1.4) 38,382.64 38,382.64 38,382.64 38,382.64 38,382.64 38,382.64
Joules P(Pa)V(M3)/T(K) 357.99970 357.99970 357.99970 357.99970 357.99970 357.99970
Joules P(Pa)V(M3)/T(K) P(Pa)V(M3)x 357.99970 357.99970 357.99970 357.99970 357.99970 357.99970
Joules P(Pa)V(M3)/T(K) 358.03840 358.03840 358.03840 358.03840 358.03840 358.03840
(x=1.4) 53,049.83 53,049.83 53,049.83 53,049.83 53,049.83 53,049.83
Compressed Air Engine Adiabatic Expansion : Diatomic Gas (Pc => Pd) Work = (-5/2) * n R * (T2-T1) = Pressure Volume Temperature (Atmospheres) (metres^3) K C 59.526 0.04286 722 449 50.636 0.04810 689 416 43.075 0.05400 658 385 36.642 0.06061 628 355 31.170 0.06803 600 327 26.515 0.07636 573 300
133,314 F 840 781 725 672 621 572
Constant Pressure Expansion (at Pd) Work = P * (Vf – Vi) = Pressure Volume Temperature (Atmospheres) (metres^3) K C 26.515 0.07636 573 300 26.515 0.08033 603 330 26.515 0.08430 633 360 26.515 0.08827 662 389 26.515 0.09224 692 419 26.515 0.09621 722 449
Adiabatic Expansion : Diatomic Gas (Pd => Pe) Work = (-5/2) * n R * (T2-T1) = Pressure Volume Temperature (Atmospheres) (metres^3) K C 26.515 0.09621 722 449 22.556 0.10799 689 416 19.187 0.12122 658 385 16.322 0.13606 628 355 13.884 0.15272 600 327 11.811 0.17143 573 300
Adiabatic Expansion : Diatomic Gas (Pe => Pf) 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
Page 2 of 3
53,326 F 572 626 679 733 786 840
133,314 F 840 781 725 672 621 572
259,578
25/02/2008
F 572 436 318 216 127 50
Colin Dunstan
Joules P(Pa)V(M3)/T(K) P(Pa)V(M3)x 358.03840 358.03840 358.03840 358.03840 358.03840 358.03840
(x=1.4) 73,321.81 73,321.81 73,321.81 73,321.81 73,321.81 73,321.81
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 358.03840 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
(x=1.4) 101,325.00 101,325.00 101,325.00 101,325.00 101,325.00 101,325.00
(x=1.4) 101,325.00 101,325.00 101,325.00 101,325.00 101,325.00 101,325.00
Compressed Air Engine Universal Gas Constant ( R ) Pressure Volume (Atmospheres) (metres^3) 1.000 0.02240
K 273
Moles of Gas ( n ) Pressure (Atmospheres) 1.000
Temperature K C 283 10
Volume (metres^3) 1.00000
Total Work Done: Constant Pressure Expansion (at Pa) Adiabatic Expansion : Diatomic Gas (Pa => Pb) Constant Pressure Expansion (at Pb) Adiabatic Expansion : Diatomic Gas (Pb => Pc) Constant Pressure Expansion (at Pc) Adiabatic Expansion : Diatomic Gas (Pc => Pd) Constant Pressure Expansion (at Pd) Adiabatic Expansion : Diatomic Gas (Pd => Pe) Adiabatic Expansion : Diatomic Gas (Pe => Pf)
H2(g) +
½ O2(g)
CH4(g) C(s) + 2 H2(g) + CH4(g) +
<= O2(g) O2(g) => 2 O2(g) =>
Temperature C 0
157,145 133,314 53,342 133,314 53,348 133,314 53,326 133,314 259,578 1,109,994
=> C(s) + => => CO2(g) +
F 32
Colin Dunstan
P(Pa)V(M3)/T(K) R 8.31385
Moles n 1.00
P(Pa)V(M3)/T(K)
Moles n 43.07
F 50
358.04
Joules Joules Joules Joules Joules Joules Joules Joules Joules Joules
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
Multiple Reheat Stages, No Isothermal Expansion 350
Pressure (atmospheres)
300 250 200 150 100 50 0 0.00
Page 3 of 3
0.01
Volume (metres^3)
Constant Pressure Expansion (at Pa) Constant Pressure Expansion (at Pc)
Adiabatic Expansion : Diatomic Gas (Pa => Pb) Adiabatic Expansion : Diatomic Gas (Pc => Pd)
Adiabatic Expansion : Diatomic Gas (Pe => Pf)
Isothermal Expansion
0.10
Constant Pressure Expansion (at Pb) Constant Pressure Expansion (at Pd)
25/02/2008
1.00
Adiabatic Expansion : Diatomic Gas (Pb => Pc) Adiabatic Expansion : Diatomic Gas (Pd => Pe)