Related Resources: thermodynamics
Isentropic Pressure and Volume
Isentropic Relative Pressure and Relative Volume Functions
Where:
T = Temperature
vr = relative specific volume
Pr = relative pressure
Isentropic Relative Pressure and Relative Volume Functions
The relative pressure and relative volume are temperature functions calculated with two scaling constants A1, A2.
such that for an isentropic process (s1 = s2)
where the near equalities are for the constant heat capacity approximation.
|
T [K]
|
Pr
|
vr
|
|
200
|
0.2703
|
493.47
|
|
220
|
0.3770
|
389.15
|
|
240
|
0.5109
|
313.27
|
|
260
|
0.6757
|
256.58
|
|
280
|
0.8756
|
213.26
|
|
290
|
0.9899
|
195.36
|
|
298.15
|
1.0907
|
182.29
|
|
300
|
1.1146
|
179.49
|
|
320
|
1.3972
|
152.73
|
|
340
|
1.7281
|
131.20
|
|
360
|
2.1123
|
113.65
|
|
380
|
2.5548
|
99.188
|
|
400
|
3.0612
|
87.137
|
|
420
|
3.6373
|
77.003
|
|
440
|
4.2892
|
68.409
|
|
460
|
5.0233
|
61.066
|
|
480
|
5.8466
|
54.748
|
|
500
|
6.7663
|
49.278
|
|
520
|
7.7900
|
44.514
|
|
540
|
8.9257
|
40.344
|
|
560
|
10.182
|
36.676
|
|
580
|
11.568
|
33.436
|
|
600
|
13.092
|
30.561
|
|
620
|
14.766
|
28.001
|
|
640
|
16.598
|
25.713
|
|
660
|
18.600
|
23.662
|
|
680
|
20.784
|
21.818
|
|
700
|
23.160
|
20.155
|
|
T [K]
|
Pr
|
vr
|
|
700
|
23.160
|
20.155
|
|
720
|
25.742
|
18.652
|
|
740
|
28.542
|
17.289
|
|
760
|
31.573
|
16.052
|
|
780
|
34.851
|
14.925
|
|
800
|
38.388
|
13.897
|
|
850
|
48.468
|
11.695
|
|
900
|
60.520
|
9.9169
|
|
950
|
74.815
|
8.4677
|
|
1000
|
91.651
|
7.2760
|
|
1050
|
111.35
|
6.2885
|
|
1100
|
134.25
|
5.4641
|
|
1150
|
160.73
|
4.7714
|
|
1200
|
191.17
|
4.1859
|
|
1250
|
226.02
|
3.6880
|
|
1300
|
265.72
|
3.2626
|
|
1350
|
310.74
|
2.8971
|
|
1400
|
361.62
|
2.5817
|
|
1450
|
418.89
|
2.3083
|
|
1500
|
483.16
|
2.0703
|
|
1550
|
554.96
|
1.8625
|
|
1600
|
634.97
|
1.6804
|
|
1650
|
723.86
|
1.52007
|
|
1700
|
822.33
|
1.37858
|
|
1750
|
931.14
|
1.25330
|
|
1800
|
1051.05
|
1.14204
|
|
1850
|
1182.9
|
1.04294
|
|
1900
|
1327.5
|
0.95445
|
|
T [K]
|
Pr
|
vr
|
|
1900
|
1327.5
|
0.95445
|
|
1950
|
1485.8
|
0.87521
|
|
2000
|
1658.6
|
0.80410
|
|
2050
|
1847.1
|
0.74012
|
|
2100
|
2052.1
|
0.68242
|
|
2150
|
2274.8
|
0.63027
|
|
2200
|
2516.2
|
0.58305
|
|
2250
|
2777.5
|
0.54020
|
|
2300
|
3059.9
|
0.50124
|
|
2350
|
3364.6
|
0.46576
|
|
2400
|
3693.0
|
0.43338
|
|
2450
|
4046.2
|
0.40378
|
|
2500
|
4425.8
|
0.37669
|
|
2550
|
4833.0
|
0.35185
|
|
2600
|
5269.5
|
0.32903
|
|
2650
|
5736.7
|
0.30805
|
|
2700
|
6236.2
|
0.28872
|
|
2750
|
6769.7
|
0.27089
|
|
2800
|
7338.7
|
0.25443
|
|
2850
|
7945.1
|
0.23921
|
|
2900
|
8590.7
|
0.22511
|
|
2950
|
9277.2
|
0.21205
|
|
3000
|
10007
|
0.19992
|
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