Related Resources: thermodynamics

Isentropic Pressure and Volume

Thermodynamics
Heat Transfer

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.

Isentropic Relative Pressure and Relative Volume Functions

such that for an isentropic process (s1 = s2)

Isentropic Relative Pressure and Relative Volume Functions

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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