Hier
finden Sie für feuchte Luft, berechnet mit und ohne Dissoziation, die spezifische
Wärmekapazität, die spezifische konventionelle Entropie, die dynamische Viskosität und die Wärmeleitfähigkeit als Funktion der
Temperatur und der Wasserdampfbeladung. Die Umrechnung in molare Größen ist
durch die jeweilige Molmasse der Luft möglich.
Tabelle 2.1. Spezifische Wärmekapazität cp
feuchter Luft in kJ/(kg K) im Zustand idealer Gase (im Zustand realer Gase hier) als Funktion der Temperatur t
und der Wasserdampfbeladung X in kg/kg. Bei anfänglicher Temperatur liegt Sättigung vor. Die Molmasse der Luft ist in kg/kmol.
Berechnung bei 100 kPa ohne Dissoziation. Der Massenanteil x berechnet sich mit x = X/(1+X). Die auf trockene Luft bezogene
Zustandsgröße z* erhält man durch z* =
z/(1-x). Die Wärmekapazitäten
der Komponenten stammen von Wagner, W.: VDI 4670 Blatt 1, Düsseldorf 2003.
----------------------------------------------------------------------------
Molmasse 28,965 28,8983
28,7784 28,5002 27,9145
26,7810 24,7390
t Wasserdampfbeladung X
°C 0 0,003825 0,010793 0,027586 0,066014
0,154982 0,390957
----------------------------------------------------------------------------
0 1,00365 1,00691
15 1,00420 1,00747
1,01336
30 1,00489 1,00817
1,01408 1,02800
45 1,00573 1,00903
1,01496 1,02893 1,05924
60 1,00674 1,01004
1,01600 1,03003 1,06047
1,12318
75 1,00791 1,01123
1,01722 1,03132 1,06190
1,12490 1,25297
100 1,01025 1,01360
1,01964 1,03386 1,06472
1,12827 1,25746
125 1,01309 1,01648
1,02257 1,03693 1,06808 1,13224 1,26265
150 1,01643 1,01984
1,02600 1,04050 1,07196
1,13676 1,26849
175 1,02023 1,02368
1,02991 1,04455 1,07634
1,14181 1,27489
200 1,02447 1,02796
1,03425 1,04905 1,08117
1,14732 1,28180
225 1,02911 1,03263
1,03899 1,05394 1,08640
1,15325 1,28915
250 1,03409 1,03765
1,04407 1,05919 1,09198
1,15954 1,29686
275 1,03937 1,04296
1,04945 1,06473 1,09787
1,16613 1,30489
300 1,04489 1,04852
1,05508 1,07051
1,10400 1,17297 1,31318
350 1,05646 1,06017
1,06686 1,08262 1,11680
1,18722 1,33036
400 1,06843 1,07222
1,07905 1,09514 1,13005
1,20194 1,34810
450 1,08049 1,08437
1,09135 1,10778 1,14343
1,21686 1,36614
500 1,09241 1,09637
1,10350 1,12029 1,15672
1,23177 1,38431
550 1,10401 1,10805
1,11535 1,13251 1,16976
1,24648 1,40243
600 1,11517 1,11930
1,12676 1,14432 1,18241
1,26088 1,42039
650 1,12580 1,13004
1,13767 1,15563 1,19461
1,27489 1,43809
700 1,13589 1,14022
1,14803 1,16641 1,20629
1,28844 1,45544
750 1,14540 1,14983
1,15782 1,17663 1,21744
1,30150 1,47239
800 1,15434 1,15887
1,16704 1,18629 1,22804
1,31405 1,48888
850 1,16272 1,16736
1,17572 1,19540 1,23811
1,32607 1,50488
900 1,17058 1,17532
1,18387 1,20399 1,24765
1,33758 1,52038
950 1,17794 1,18279
1,19152 1,21208 1,25669
1,34858 1,53536
1000 1,18484 1,18979
1,19870 1,21970 1,26525
1,35908 1,54981
1050 1,19130 1,19635
1,20545 1,22687 1,27335
1,36910 1,56373
1100 1,19736 1,20251
1,21179 1,23363 1,28103
1,37866 1,57712
1150 1,20306 1,20830
1,21776 1,24001 1,28831
1,38779 1,59001
1200 1,20841 1,21375
1,22338 1,24604 1,29521
1,39650 1,60239
1250 1,21346 1,21889
1,22868 1,25174 1,30177
1,40482 1,61429
1300 1,21822 1,22374
1,23370 1,25714 1,30800
1,41276 1,62571
1400 1,22699 1,23269
1,24296 1,26713 1,31957
1,42761 1,64721
1500 1,23489 1,24075
1,25131 1,27617 1,33010
1,44119 1,66701
1600 1,24207 1,24808
1,25891 1,28440 1,33972
1,45366 1,68527
1700 1,24863 1,25477
1,26585 1,29194 1,34854
1,46512 1,70211
1800 1,25466 1,26094
1,27225 1,29888 1,35667
1,47570 1,71765
1900 1,26024 1,26664
1,27817 1,30530 1,36419
1,48547 1,73201
2000 1,26544 1,27194
1,28367 1,31127 1,37116
1,49453 1,74530
2100 1,27029 1,27689
1,28880 1,31683 1,37766
1,50294 1,75761
2200 1,27483 1,28153
1,29361 1,32204 1,38372
1,51077 1,76903
2300 1,27911 1,28590
1,29813 1,32692 1,38939
1,51806 1,77963
2400 1,28315 1,29001
1,30238 1,33151 1,39471
1,52488 1,78950
2500 1,28696 1,29390
1,30640 1,33583 1,39970
1,53126 1,79868
2600 1,29057 1,29758
1,31020 1,33992 1,40441
1,53724 1,80725
2700 1,29400 1,30107
1,31380 1,34379 1,40884
1,54285 1,81525
2800 1,29726 1,30438
1,31722 1,34745 1,41303
1,54812 1,82273
2900 1,30036 1,30753
1,32047 1,35092 1,41699
1,55309 1,82974
3000 1,30331 1,31054
1,32356 1,35422 1,42074
1,55777 1,83630
Tabelle 2.2. Mittlere spezifische Wärmekapazität cpm
feuchter Luft in kJ/(kg K) im Zustand
idealer Gase als Funktion der Temperatur t und der Wasserdampfbeladung X.
Bezugstemperatur ist t0 = 0 °C. Berechnung bei 100 kPa ohne
Dissoziation. Weitere Angaben siehe Tabelle 2.1.
----------------------------------------------------------------------------
Molmasse 28,965 28,8983
28,7784 28,5002 27,9145
26,7810 24,7390
t Wasserdampfbeladung X
°C 0 0,003825 0,010793 0,027586 0,066014
0,154982 0,390957
----------------------------------------------------------------------------
0 1,00365 1,00691
15 1,00392 1,00718
1,01306
30 1,00423 1,00749
1,01339 1,02725
45 1,00458 1,00786
1,01376 1,02765 1,05779
60 1,00499 1,00827
1,01419 1,02811 1,05831
1,12051
75 1,00546 1,00874
1,01467 1,02862 1,05888
1,12121 1,24793
100 1,00635 1,00965
1,01560 1,02960 1,05998
1,12255 1,24973
125 1,00741 1,01072
1,01669 1,03075 1,06125
1,12408 1,25179
150 1,00863 1,01195
1,01795 1,03207 1,06271
1,12581 1,25408
175 1,01001 1,01335
1,01938 1,03356 1,06433
1,12773 1,25659
200 1,01155 1,01490
1,02096 1,03521 1,06613
1,12983 1,25930
225 1,01324 1,01661
1,02269 1,03702 1,06809
1,13210 1,26221
250 1,01507 1,01846
1,02458 1,03897 1,07020
1,13452 1,26528
275 1,01704 1,02045
1,02659 1,04106 1,07244
1,13710 1,26852
300 1,01913 1,02255
1,02873 1,04327 1,07482
1,13980 1,27189
350 1,02363 1,02709
1,03333 1,04802 1,07989
1,14555 1,27901
400 1,02848 1,03197
1,03828 1,05312 1,08533
1,15167 1,28653
450 1,03359 1,03712
1,04349 1,05849 1,09104
1,15809 1,29437
500 1,03887 1,04245
1,04889 1,06405 1,09695
1,16471 1,30246
550 1,04427 1,04788
1,05439 1,06972 1,10298
1,17148 1,31072
600 1,04972 1,05337
1,05995 1,07545 1,10907
1,17833 1,31912
650 1,05516 1,05886
1,06551 1,08118 1,11519
1,18522 1,32759
700 1,06057 1,06431
1,07104 1,08689 1,12128
1,19211 1,33610
750 1,06591 1,06969
1,07650 1,09254 1,12732
1,19897 1,34463
800 1,07116 1,07499
1,08188 1,09810 1,13329
1,20578 1,35313
850 1,07631 1,08017
1,08714 1,10355 1,13916
1,21250 1,36159
900 1,08133 1,08524
1,09229 1,10890 1,14493
1,21913 1,36998
950 1,08622 1,09018
1,09732 1,11412 1,15057
1,22566 1,37829
1000 1,09098 1,09499
1,10221 1,11921 1,15609
1,23207 1,38651
1050 1,09561 1,09966
1,10697 1,12417 1,16149
1,23836 1,39462
1100 1,10010 1,10420 1,11159 1,12899 1,16675
1,24452 1,40261
1150 1,10445 1,10860
1,11608 1,13368 1,17188
1,25055 1,41048
1200 1,10867 1,11287
1,12043 1,13824 1,17687
1,25645 1,41822
1250 1,11276 1,11701
1,12466 1,14266 1,18174
1,26222 1,42583
1300 1,11673 1,12102
1,12875 1,14696 1,18648
1,26786 1,43330
1400 1,12430 1,12868
1,13659 1,15520 1,19558
1,27875 1,44782
1500 1,13141 1,13589
1,14396 1,16296 1,20420
1,28913 1,46178
1600 1,13811 1,14268
1,15091 1,17030 1,21237
1,29903 1,47519
1700 1,14442 1,14907
1,15747 1,17724 1,22013
1,30847 1,48805
1800 1,15038 1,15512
1,16367 1,18381 1,22749
1,31747 1,50038
1900 1,15601 1,16084
1,16954 1,19003 1,23449
1,32606 1,51219
2000 1,16136 1,16627
1,17511 1,19595 1,24115
1,33426 1,52352
2100 1,16643 1,17142
1,18041 1,20157 1,24750
1,34209 1,53438
2200 1,17125 1,17632
1,18544 1,20693 1,25355
1,34958 1,54479
2300 1,17585 1,18099
1,19025 1,21204 1,25934
1,35675 1,55477
2400 1,18024 1,18545
1,19483 1,21693 1,26487
1,36362 1,56435
2500 1,18443 1,18971
1,19921 1,22160 1,27016
1,37020 1,57354
2600 1,18845 1,19379
1,20341 1,22607 1,27524
1,37651 1,58237
2700 1,19229 1,19769
1,20743 1,23036 1,28010
1,38257 1,59085
2800 1,19598 1,20145
1,21129 1,23448 1,28478
1,38838 1,59900
2900 1,19953 1,20505
1,21500 1,23843 1,28927
1,39398 1,60683
3000 1,20294 1,20852
1,21857 1,24224 1,29359
1,39936 1,61437
Tabelle 2.3. Spezifische konventionelle Entropie s0(t)
feuchter Luft in kJ/(kg K) im Zustand idealer Gase als Funktion der Temperatur t
und der Wasserdampfbeladung X beim Standarddruck p0 = 100 kPa. Berechnung ohne
Dissoziation. Weitere Angaben siehe Tabelle 2.1.
----------------------------------------------------------------------------
Molmasse 28,965 28,8983
28,7784 28,5002 27,9145
26,7810 24,7390
t Wasserdampfbeladung X
°C 0 0,003825 0,010793 0,027586 0,066014
0,154982 0,390957
----------------------------------------------------------------------------
0 6,77625 6,80046
15 6,82992 6,85431
6,89318
30 6,88089 6,90545
6,94462 7,02966
45 6,92945 6,95416 6,99362 7,07933 7,25109
60 6,97580 7,00067
7,04040 7,12675 7,29992
7,62922
75 7,02016 7,04518
7,08517 7,17214 7,34665
7,67873 8,29882
100 7,09014 7,11538
7,15579 7,24375 7,42038
7,75685 8,38586
125 7,15574
7,18120 7,22201 7,31089
7,48953 7,83014 8,46756
150 7,21753 7,24320
7,28438 7,37414 7,55469
7,89922 8,54463
175 7,27598 7,30185
7,34338 7,43398 7,61635
7,96461 8,61762
200 7,33148 7,35753
7,39941 7,49080 7,67490
8,02674 8,68701
225 7,38434 7,41058
7,45278 7,54494 7,73070
8,08597 8,75320
250 7,43485 7,46126
7,50378 7,59667 7,78403
8,14259 8,81651
275 7,48325 7,50982
7,55264 7,64624 7,83514 8,19687 8,87723
300 7,52972 7,55646
7,59957 7,69386 7,88424
8,24903 8,93561
400 7,69958 7,72692
7,77110 7,86792 8,06380
8,43991 9,14950
450 7,77656 7,80417
7,84885 7,94683 8,14524
8,52655 9,24672
500 7,84920
7,87706 7,92221 8,02131
8,22213 8,60840 9,33866
550 7,91801 7,94613
7,99173 8,09189 8,29502
8,68605 9,42597
600 7,98344 8,01180
8,05784 8,15902 8,36437
8,75997 9,50920
650 8,04584 8,07443
8,12089 8,22306 8,43055
8,83057 9,58878
700 8,10549 8,13430
8,18117 8,28430 8,49387
8,89818 9,66509
750 8,16264 8,19167
8,23893 8,34300 8,55459
8,96306 9,73843
800 8,21750 8,24675
8,29439 8,39937 8,61293
9,02545 9,80908
850 8,27026 8,29972
8,34774 8,45360 8,66908
9,08557 9,87724
900 8,32107 8,35074
8,39913 8,50585 8,72322
9,14358 9,94312
950 8,37008 8,39995
8,44870 8,55627 8,77548
9,19963 10,00689
1000 8,41742 8,44748
8,49658 8,60499 8,82600
9,25387 10,06870
1050 8,46318 8,49344
8,54289 8,65211 8,87490
9,30642 10,12866
1100 8,50748 8,53793
8,58772 8,69774 8,92227
9,35738 10,18691
1150 8,55041 8,58104
8,63116 8,74198 8,96822
9,40685 10,24355
1200 8,59204 8,62286
8,67331 8,78490 9,01282
9,45492 10,29867
1250 8,63246 8,66345
8,71423 8,82659 9,05616
9,50167 10,35235
1300 8,67173 8,70290
8,75400 8,86710 9,09831
9,54718 10,40468
1350 8,70992 8,74126
8,79268 8,90652 9,13933
9,59150 10,45572
1400 8,74708 8,77860
8,83032 8,94489 9,17928
9,63470 10,50553
1500 8,81854 8,85039
8,90271 9,01871 9,25619
9,71797 10,60173
1600 8,88649 8,91866
8,97158 9,08895 9,32943
9,79738 10,69369
1700 8,95126 8,98375
9,03723 9,15595 9,39933
9,87329 10,78178
1800 9,01314 9,04594
9,09997 9,21999 9,46621
9,94598 10,86632
1900 9,07238 9,10547
9,16005 9,28133 9,53029
10,01573 10,94757
2000 9,12919 9,16258
9,21767 9,34019 9,59183
10,08277 11,02579
2100 9,18377 9,21744
9,27305 9,39676 9,65100
10,14729 11,10120
2200 9,23630 9,27024
9,32634 9,45122 9,70798
10,20949 11,17398
2300 9,28692 9,32113
9,37771 9,50372 9,76294
10,26952 11,24431
2400 9,33576 9,37023
9,42728 9,55440 9,81602
10,32752 11,31235
2500 9,38296 9,41768
9,47519 9,60338 9,86733
10,38365 11,37824
2600 9,42861 9,46358
9,52154 9,65078 9,91700
10,43800 11,44211
2700 9,47283 9,50804
9,56642 9,69669 9,96513
10,49069 11,50408
2800 9,51569 9,55113
9,60994 9,74120 10,01180
10,54181 11,56426
2900 9,55728 9,59295
9,65218 9,78441 10,05711
10,59147 11,62274
3000 9,59767 9,63357
9,69319 9,82637 10,10114
10,63973 11,67961
Tabelle 2.4a. Spezifische effektive Wärmekapazität cp,eff dissoziierter feuchter Luft in kJ/(kg K) im Zustand idealer Gase als Funktion der Temperatur t und der Wasserdampfbeladung X bzw. des H2O-Massenanteils x = X/(1+X) beim Druck p0 = 100 kPa. Bei anfänglicher Temperatur liegt Sättigung vor. Die auf die Masse der trockenen Luft bezogene Wärmekapazität cp* erhält man durch cp* = cp(1+X). Berechnet nach David A. Goodwin (Programm: CANTERA), thermodynamische Eingangswerte nach Alexander Burcat.
----------------------------------------------------------------------------Wasserdampfbeladung X
0,000000 0,003825 0,010793 0,027586 0,066014 0,154980 0,390952
t H2O-Massenanteil x
°C 0,000000 0,003810 0,010678 0,026845 0,061926 0,134184 0,281068
----------------------------------------------------------------------------
0 1,0036 1,0068
15 1,0042 1,0075 1,0134
30 1,0050 1,0083 1,0142 1,0281
45 1,0060 1,0093 1,0152 1,0292 1,0595
60 1,0071 1,0104 1,0164 1,0304 1,0609 1,1236
75 1,0084 1,0118 1,0178 1,0319 1,0624 1,1255 1,2535
100 1,0110 1,0143 1,0204 1,0346 1,0654 1,1290 1,2581
125 1,0139 1,0173 1,0234 1,0378 1,0689 1,1330 1,2634
150 1,0173 1,0207 1,0269 1,0414 1,0728 1,1375 1,2691
175 1,0210 1,0245 1,0307 1,0453 1,0771 1,1425 1,2754
200 1,0251 1,0286 1,0349 1,0497 1,0818 1,1478 1,2821
225 1,0296 1,0331 1,0394 1,0544 1,0868 1,1536 1,2893
250 1,0343 1,0379 1,0443 1,0594 1,0921 1,1596 1,2968
275 1,0393 1,0429 1,0494 1,0647 1,0978 1,1660 1,3047
300 1,0446 1,0482 1,0548 1,0702 1,1037 1,1726 1,3128
350 1,0557 1,0595 1,0662 1,0819 1,1161 1,1866 1,3299
400 1,0676 1,0714 1,0782 1,0943 1,1293 1,2013 1,3476
450 1,0798 1,0837 1,0907 1,1071 1,1428 1,2164 1,3659
500 1,0921 1,0961 1,1032 1,1200 1,1565 1,2316 1,3843
550 1,1043 1,1084 1,1157 1,1328 1,1701 1,2468 1,4027
600 1,1161 1,1202 1,1277 1,1452 1,1832 1,2616 1,4209
650 1,1271 1,1313 1,1389 1,1568 1,1957 1,2759 1,4388
700 1,1370 1,1413 1,1491 1,1675 1,2073 1,2893 1,4561
750 1,1458 1,1503 1,1583 1,1771 1,2179 1,3021 1,4731
800 1,1545 1,1591 1,1673 1,1866 1,2285 1,3147 1,4901
850 1,1631 1,1677 1,1762 1,1959 1,2388 1,3272 1,5067
900 1,1716 1,1764 1,1850 1,2052 1,2491 1,3394 1,5230
950 1,1800 1,1850 1,1938 1,2145 1,2593 1,3516 1,5391
1000 1,1885 1,1936 1,2026 1,2238 1,2696 1,3638 1,5551
1050 1,1970 1,2023 1,2115 1,2332 1,2799 1,3761 1,5711
1100 1,2055 1,2110 1,2205 1,2427 1,2905 1,3885 1,5873
1150 1,2141 1,2199 1,2297 1,2525 1,3013 1,4013 1,6038
1200 1,2228 1,2290 1,2392 1,2625 1,3125 1,4146 1,6209
1250 1,2317 1,2384 1,2489 1,2730 1,3242 1,4284 1,6386
1300 1,2407 1,2480 1,2590 1,2839 1,3365 1,4431 1,6574
1400 1,2595 1,2683 1,2807 1,3076 1,3636 1,4758 1,6995
1500 1,2796 1,2909 1,3051 1,3350 1,3955 1,5148 1,7502
1600 1,3022 1,3170 1,3338 1,3677 1,4344 1,5633 1,8140
1700 1,3288 1,3483 1,3687 1,4082 1,4834 1,6253 1,8971
1800 1,3619 1,3875 1,4127 1,4598 1,5465 1,7063 2,0076
1900 1,4048 1,4378 1,4696 1,5267 1,6291 1,8133 2,1565
2000 1,4616 1,5036 1,5439 1,6145 1,7378 1,9557 2,3583
2100 1,5374 1,5897 1,6410 1,7293 1,8808 2,1449 2,6315
2200 1,6377 1,7012 1,7667 1,8783 2,0674 2,3946 2,9988
2300 1,7680 1,8432 1,9266 2,0686 2,3078 2,7205 3,4869
2400 1,9334 2,0196 2,1252 2,3063 2,6115 3,1389 4,1244
2500 2,1369 2,2326 2,3643 2,5949 2,9862 3,6650 4,9387
2600 2,3792 2,4816 2,6423 2,9337 3,4345 4,3091 5,9499
2700 2,6562 2,7622 2,9522 3,3147 3,9511 5,0714 7,1641
2800 2,9583 3,0650 3,2807 3,7210 4,5178 5,9351 8,5651
2900 3,2685 3,3742 3,6084 4,1256 5,1006 6,8596 10,1056
3000 3,5623 3,6667 3,9101 4,4928 5,6485 7,7758 11,6983
Tabelle 2.4b. Spezifische Wärmekapazität cp
dissoziierter feuchter Luft in kJ/(kg K) im Zustand idealer Gase als Funktion
der Temperatur t und der Wasserdampfbeladung X in kg/kg bzw. des H2O-Massenanteils
x beim Druck p0 = 100 kPa. Bei anfänglicher Temperatur liegt Sättigung vor. Berechnet nach David A.
Goodwin (Programm: CANTERA), thermodynamische Eingangswerte nach Alexander Burcat.
----------------------------------------------------------------------------
Wasserdampfbeladung X
0,000000 0,003825
0,010793 0,027586 0,066014
0,154980 0,390952
t H2O-Massenanteil
x
°C 0,000000
0,003810 0,010678 0,026845
0,061926 0,134184 0,281068
----------------------------------------------------------------------------
0 1,00356
1,00682
15 1,00420
1,00747 1,01336
30 1,00501
1,00829 1,01420 1,02812
45 1,00599
1,00928 1,01522 1,02919
1,05951
60 1,00714
1,01045 1,01641 1,03044
1,06089 1,12360
75 1,00845
1,01177 1,01776 1,03186
1,06245 1,12546 1,25354
100 1,01099
1,01434 1,02038 1,03459
1,06544 1,12898 1,25814
125 1,01394
1,01733 1,02342 1,03777
1,06889 1,13301 1,26335
150 1,01730
1,02072 1,02687 1,04135
1,07278 1,13752 1,26912
175 1,02104
1,02449 1,03070 1,04533
1,07708 1,14247 1,27539
200 1,02514
1,02862 1,03490 1,04968
1,08176 1,14782 1,28213
225 1,02956
1,03308 1,03943 1,05437
1,08678 1,15355 1,28928
250 1,03429
1,03785 1,04427 1,05937
1,09213 1,15962 1,29681
275 1,03930
1,04290 1,04939 1,06465
1,09777 1,16599 1,30468
300 1,04457
1,04820 1,05476 1,07019
1,10367 1,17264 1,31283
350 1,05573
1,05945 1,06615 1,08192
1,11613 1,18661 1,32988
400 1,06755
1,07135 1,07819 1,09430
1,12926 1,20127 1,34764
450 1,07975
1,08363 1,09062 1,10708
1,14279 1,21634 1,36585
500 1,09206
1,09602 1,10316 1,11997
1,15644 1,23155 1,38425
550 1,10418
1,10822 1,11552 1,13268
1,16993 1,24665 1,40261
600 1,11579
1,11992 1,12737 1,14491
1,18297 1,26137 1,42072
650 1,12656
1,13079 1,13840 1,15634
1,19526 1,27543 1,43839
700 1,13613
1,14046 1,14826 1,16663
1,20649 1,28858 1,45546
750 1,14448
1,14892 1,15693 1,17578
1,21667 1,30090 1,47212
800 1,15251
1,15706 1,16527 1,18460
1,22654 1,31293 1,48854
850 1,16020
1,16486 1,17327 1,19307
1,23603 1,32452 1,50440
900 1,16757
1,17235 1,18095 1,20121
1,24516 1,33569 1,51972
950 1,17464
1,17952 1,18831 1,20901
1,25392 1,34644 1,53450
1000 1,18140
1,18638 1,19536 1,21649
1,26234 1,35679 1,54877
1050 1,18788
1,19296 1,20211 1,22367
1,27043 1,36674 1,56254
1100 1,19408
1,19925 1,20858 1,23054
1,27819 1,37632 1,57581
1150 1,20001
1,20528 1,21477 1,23713
1,28563 1,38553 1,58862
1200 1,20568
1,21104 1,22070 1,24343
1,29277 1,39439 1,60096
1250 1,21110
1,21654 1,22636 1,24947
1,29962 1,40290 1,61285
1300 1,21628
1,22181 1,23178 1,25525
1,30618 1,41108 1,62431
1400 1,22594
1,23164 1,24190 1,26606
1,31849 1,42647 1,64598
1500 1,23474
1,24059 1,25113 1,27594
1,32977 1,44066 1,66606
1600 1,24275
1,24874 1,25953 1,28495
1,34010 1,45371 1,68464
1700 1,25003
1,25614 1,26718 1,29316
1,34955 1,46570 1,70182
1800 1,25663
1,26286 1,27412 1,30063
1,35817 1,47670 1,71768
1900 1,26262 1,26896 1,28043
1,30743 1,36604 1,48679
1,73230
2000 1,26807
1,27450 1,28615 1,31360
1,37320 1,49602 1,74577
2100 1,27302
1,27953 1,29135 1,31921
1,37974 1,50447 1,75816
2200 1,27753
1,28411 1,29608 1,32433
1,38569 1,51221 1,76956
2300 1,28166
1,28830 1,30041 1,32900
1,39115 1,51931 1,78007
2400 1,28545
1,29216 1,30439 1,33330
1,39616 1,52586 1,78981
2500 1,28897
1,29573 1,30808 1,33728
1,40082 1,53195 1,79889
2600 1,29224
1,29908 1,31154 1,34103
1,40521 1,53770 1,80746
2700 1,29533
1,30225 1,31483 1,34460
1,40941 1,54321 1,81570
2800 1,29826
1,30527 1,31799 1,34806
1,41351 1,54862 1,82378
2900 1,30107
1,30819 1,32106 1,35146
1,41759 1,55406 1,83192
3000 1,30378
1,31102 1,32407 1,35485
1,42172 1,55963 1,84028
Tabelle 2.5. Mittlere spezifische Wärmekapazität cpm
dissoziierter feuchter Luft in kJ/(kg K) im Zustand idealer Gase als Funktion der Temperatur t und der
Wasserdampfbeladung X bzw. des H2O-Massenanteils x.
Bezugstemperatur ist t0 = 0 °C, der Druck ist p0 =
100 kPa. Berechnet nach David A. Goodwin (Programm: CANTERA), thermodynamische
Eingangswerte nach Alexander Burcat.
----------------------------------------------------------------------------
Wasserdampfbeladung X
0,000000
0,003825 0,010793 0,027586
0,066014 0,154980 0,390952
t H2O-Massenanteil
x
°C 0,000000
0,003810 0,010678 0,026845
0,061926 0,134184 0,281068
----------------------------------------------------------------------------
0 1,00356
1,00682
15 1,00387
1,00713 1,01301
30 1,00423
1,00750 1,01339 1,02725
45 1,00465
1,00792 1,01382 1,02772
1,05786
60 1,00512
1,00840 1,01432 1,02824
1,05844 1,12065
75 1,00565
1,00894 1,01487 1,02882
1,05908 1,12142 1,24815
100 1,00666
1,00996 1,01591 1,02991
1,06029 1,12286 1,25006
125 1,00782
1,01113 1,01710 1,03116
1,06166 1,12448 1,25219
150 1,00911
1,01244 1,01843 1,03255
1,06318 1,12627 1,25452
175 1,01054
1,01389 1,01991 1,03409
1,06486 1,12823 1,25705
200 1,01211
1,01547 1,02152 1,03576
1,06667 1,13034 1,25976
225 1,01380
1,01717 1,02325 1,03757
1,06862 1,13260 1,26264
250 1,01561
1,01900 1,02511 1,03949
1,07070 1,13499 1,26568
275 1,01753
1,02094 1,02708 1,04154
1,07291 1,13752 1,26886
300 1,01957
1,02299 1,02916 1,04369
1,07522 1,14017 1,27218
350 1,02393
1,02739 1,03362 1,04831
1,08017 1,14580 1,27920
400 1,02864
1,03213 1,03844 1,05328
1,08548 1,15181 1,28664
450 1,03364
1,03717 1,04355 1,05855
1,09110 1,15814 1,29443
500 1,03887
1,04244 1,04889 1,06405
1,09695 1,16473 1,30249
550 1,04427
1,04788 1,05439 1,06972
1,10299 1,17150 1,31077
600 1,04977
1,05342 1,06000 1,07550
1,10913 1,17839 1,31919
650 1,05530
1,05899 1,06565 1,08132
1,11532 1,18535 1,32771
700 1,06079
1,06452 1,07125 1,08710
1,12148 1,19230 1,33626
750 1,06616
1,06994 1,07675 1,09278
1,12756 1,19919 1,34481
800 1,07141
1,07524 1,08213 1,09834
1,13354 1,20602 1,35337
850 1,07655
1,08042 1,08740 1,10381
1,13942 1,21278 1,36190
900 1,08160
1,08551 1,09257 1,10919
1,14523 1,21948 1,37039
950 1,08655
1,09052 1,09767 1,11448
1,15097 1,22611 1,37885
1000 1,09144
1,09546 1,10269 1,11972
1,15664 1,23269 1,38726
1050 1,09626
1,10034 1,10766 1,12489
1,16227 1,23923 1,39564
1100 1,10103
1,10517 1,11259 1,13003
1,16785 1,24573 1,40398
1150 1,10576
1,10996 1,11748 1,13514
1,17342 1,25221 1,41231
1200 1,11046
1,11474 1,12235 1,14024
1,17898 1,25870 1,42064
1250 1,11513
1,11949 1,12722 1,14534
1,18455 1,26521 1,42901
1300 1,11979
1,12425 1,13209 1,15045
1,19016 1,27177 1,43743
1400 1,12909
1,13380 1,14192 1,16081
1,20155 1,28514 1,45460
1500 1,13844
1,14351 1,15196 1,17149
1,21339 1,29911 1,47256
1600 1,14795
1,15352 1,16240 1,18269
1,22594 1,31404 1,49182
1700 1,15778
1,16402 1,17347 1,19472
1,23959 1,33045 1,51310
1800 1,16817
1,17531 1,18549 1,20795
1,25481 1,34898 1,53736
1900 1,17944
1,18774 1,19888 1,22289
1,27224 1,37047 1,56583
2000 1,19206
1,20182 1,21419 1,24018
1,29267 1,39600 1,60015
2100 1,20661
1,21815 1,23210 1,26062
1,31712 1,42695 1,64244
2200 1,22382
1,23746 1,25343 1,28516
1,34679 1,46500 1,69534
2300 1,24453
1,26059 1,27909 1,31493
1,38314 1,51220 1,76213
2400 1,26966
1,28842 1,31007 1,35111
1,42776 1,57091 1,84671
2500 1,30015
1,32180 1,34732 1,39492
1,48235 1,64377 1,95348
2600 1,33687
1,36151 1,39166 1,44743
1,54858 1,73351 2,08709
2700 1,38051
1,40810 1,44364 1,50943
1,62781 1,84267 2,25202
2800 1,43141
1,46183 1,50335 1,58111
1,72079 1,97315 2,45196
2900 1,48942
1,52245 1,57033 1,66193
1,82731 2,12562 2,68902
3000 1,55370
1,58914 1,64340 1,75033
1,94573 2,29883 2,96280
Tabelle 2.6. Spezifische konventionelle Entropie s0(t)
dissoziierter feuchter Luft in kJ/(kg K) im Zustand idealer Gase als Funktion
der Temperatur t und der Wasserdampfbeladung X bzw. des H2O-Massenanteils
x. Bezugsdruck ist der Standarddruck p0 = 100 kPa. Berechnet
nach David A. Goodwin (Programm: CANTERA), thermodynamische Eingangswerte nach
Alexander Burcat.
----------------------------------------------------------------------------
Wasserdampfbeladung X
0,000000 0,003825
0,010793 0,027586 0,066014
0,154980 0,390952
t H2O-Massenanteil
x
°C 0,000000
0,003810 0,010678 0,026845
0,061926 0,134184 0,281068
----------------------------------------------------------------------------
0 6,77622
6,80043
15 6,82989
6,85428 6,89315
30 6,88087
6,90542 6,94459 7,02962
45 6,92943
6,95414 6,99360 7,07930
7,25106
60 6,97580
7,00066 7,04040 7,12674
7,29990 7,62919
75 7,02018
7,04519 7,08519 7,17216
7,34665 7,67871 8,29877
100 7,09020
7,11544 7,15585 7,24380
7,42043 7,75688 8,38585
125 7,15585
7,18131 7,22212 7,31099
7,48963 7,83022 8,46761
150 7,21770
7,24337 7,28455 7,37430
7,55484 7,89935 8,54471
175 7,27620
7,30206 7,34360 7,43419
7,61654 7,96478 8,61774
200 7,33173
7,35779 7,39966 7,49105
7,67513 8,02694 8,68715
225 7,38463
7,41086 7,45306 7,54521
7,73096 8,08619 8,75335
250 7,43516
7,46156 7,50407 7,59696
7,78430 8,14282 8,81666
275 7,48355 7,51013 7,55294 7,64653
7,83541 8,19710 8,87738
300 7,53002
7,55675 7,59986 7,69414
7,88450 8,24925 8,93574
350 7,61784
7,64488 7,68854 7,78413
7,97732 8,34790 9,04625
400 7,69977
7,72710 7,77128 7,86810
8,06396 8,44004 9,14956
450 7,77669
7,80430 7,84897 7,94696
8,14535 8,52664 9,24676
500 7,84929
7,87716 7,92231 8,02140
8,22221 8,60846 9,33869
550 7,91811
7,94623 7,99183 8,09199
8,29510 8,68611 9,42601
600 7,98358
8,01194 8,05797 8,15915
8,36449 8,76007 9,50926
650 8,04603
8,07463 8,12108 8,22325
8,43073 8,83072 9,58887
700 8,10575
8,13457 8,18142 8,28455
8,49410 8,89837 9,66522
750 8,16294
8,19197 8,23923 8,34328
8,55486 8,96329 9,73860
800 8,21781
8,24706 8,29470 8,39967
8,61322 9,02572 9,80928
850 8,27058
8,30004 8,34806 8,45392
8,66940 9,08587 9,87752
900 8,32142
8,35109 8,39948 8,50621
8,72358 9,14394 9,94349
950 8,37049
8,40037 8,44912 8,55670
8,77592 9,20010 10,00739
1000 8,41794
8,44801 8,49712 8,60554
8,82658 9,25449 10,06938
1050 8,46388
8,49416 8,54362 8,65286
8,87568 9,30726 10,12959
1100 8,50844
8,53891 8,58872 8,69878
8,92335 9,35853 10,18816
1150 8,55171
8,58238 8,63254 8,74340
8,96970 9,40842 10,24522
1200 8,59378
8,62466 8,67516 8,78682
9,01482 9,45703 10,30090
1250 8,63474
8,66584 8,71668 8,82913
9,05882 9,50447 10,35529
1300 8,67467
8,70599 8,75718 8,87042
9,10179 9,55084 10,40852
1400 8,75170
8,78351 8,83542 8,95025
9,18496 9,64075 10,51191
1500 8,82538
8,85777 8,91045 9,02692
9,26501 9,72750 10,61197
1600 8,89618
8,92929 8,98281 9,10102
9,34259 9,81188 10,70965
1700 8,96457
8,99857 9,05305 9,17316
9,41840 9,89471 10,80604
1800 9,03105
9,06615 9,12175 9,24399
9,49322 9,97696
10,90240
1900 9,09616
9,13263 9,18957 9,31425
9,56791 10,05972 11,00028
2000 9,16057
9,19872 9,25727 9,38481
9,64352 10,14433 11,10158
2100 9,22503
9,26521 9,32572 9,45666
9,72125 10,23238 11,20865
2200 9,29045
9,33301 9,39592 9,53096
9,80253 10,32579 11,32443
2300 9,35782
9,40313 9,46897 9,60901
9,88902 10,42684 11,45246
2400 9,42825
9,47663 9,54606 9,69223
9,98255 10,53817 11,59696
2500 9,50285
9,55458 9,62835 9,78204
10,08507 10,66271 11,76272
2600 9,58270
9,63795 9,71690 9,87979
10,19854 10,80352 11,95488
2700 9,66872
9,72755 9,81249 9,98654
10,32465 10,96359 12,17852
2800 9,76151
9,82387 9,91553 10,10283
10,46458 11,14533 12,43810
2900 9,86119
9,92695 10,02584 10,22848
10,61855 11,35002 12,73662
3000 9,96722
10,03624 10,14256 10,36230
10,78543 11,57714 13,07477
Tabelle 2.7. Molmasse M in kg/kmol dissoziierter feuchter
Luft im Zustand idealer Gase als Funktion der Temperatur t und der
Wasserdampfbeladung X bzw. des H2O-Massenanteils x
zwecks Umrechnung spezifischer Größen in molare Größen. Der Druck ist p0
= 100 kPa. Berechnet mit CANTERA, thermodynamische Eingangswerte nach A. Burcat.
----------------------------------------------------------------------------
Wasserdampfbeladung X
0,000000 0,003825
0,010793 0,027586 0,066014
0,154980 0,390952
t H2O-Massenanteil
x
°C 0,000000
0,003810 0,010678 0,026845
0,061926 0,134184 0,281068
----------------------------------------------------------------------------
1000 28,9652
28,8983 28,7784 28,5002
27,9145 26,7809 24,7388
1050 28,9652
28,8983 28,7784 28,5001
27,9144 26,7809 24,7387
1100 28,9652
28,8983 28,7784 28,5001
27,9144 26,7808 24,7386
1150 28,9653
28,8982 28,7783 28,5000
27,9143 26,7806 24,7384
1200 28,9653
28,8982 28,7783 28,4999
27,9141 26,7803 24,7381
1300 28,9652
28,8980 28,7779 28,4994
27,9134 26,7794 24,7370
1400 28,9651
28,8975 28,7773 28,4984
27,9120 26,7776 24,7348
1500 28,9647
28,8966 28,7759 28,4965
27,9095 26,7743 24,7307
1600 28,9638
28,8947 28,7734 28,4931
27,9049 26,7683 24,7236
1700 28,9618
28,8913 28,7690 28,4872
27,8971 26,7584 24,7114
1800 28,9578
28,8851 28,7613 28,4774
27,8844 26,7422 24,6917
1900 28,9505
28,8748 28,7487 28,4616
27,8642 26,7168 24,6607
2000 28,9378
28,8579 28,7286 28,4368
27,8332 26,6780 24,6130
2100 28,9168
28,8314 28,6976 28,3993
27,7868 26,6201
24,5416
2200 28,8839
28,7915 28,6515 28,3441
27,7189 26,5358 24,4369
2300 28,8345
28,7334 28,5851 28,2651
27,6223 26,4159 24,2871
2400 28,7631
28,6515 28,4921 28,1553
27,4883 26,2492 24,0776
2500 28,6638
28,5402 28,3664 28,0069
27,3072 26,0232 23,7926
2600 28,5304
28,3937 28,2017 27,8126
27,0693 25,7250 23,4160
2700 28,3577
28,2072 27,9931 27,5663
26,7662 25,3430 22,9340
2800 28,1416
27,9773 27,7377 27,2644
26,3925 24,8695 22,3390
2900 27,8810
27,7035 27,4361 26,9080
25,9483 24,3037 21,6322
3000 27,5781
27,3884 27,0926 26,5031
25,4408 23,6540 20,8262
Tabelle 2.8. Dynamische Viskosität η in μPa s für dissoziierte
feuchte Luft als Funktion der Temperatur t und der Wasserdampfbeladung X
bzw. des H2O-Massenanteils x beim Druck p0 =
100 kPa. Bei anfänglicher Temperatur liegt Sättigung vor. Berechnet nach David
A. Goodwin (Programm: CANTERA), thermophysikalische Eingangswerte nach J. E.Shepherd (California Institute of Technology), Mischungsregel für Luft und
Wasserdampf nach Brokaw, R. S.: Viscosity of Gas Mixtures. NASA TN D_4496
(1968), Washington D.C.
----------------------------------------------------------------------------
Wasserdampfbeladung X
0 0,003825
0,010793 0,027586 0,066014
0,154980 0,390952
t H2O-Massenanteil
x
°C 0 0,003810
0,010678 0,026845 0,061926
0,134184 0,281068
----------------------------------------------------------------------------
0 17,38
17,35
15 18,11
18,08 18,02
30 18,83
18,80 18,74 18,60
45 19,53
19,50 19,44 19,30
18,99
60 20,22
20,18 20,13 19,98
19,67 19,01
75 20,89
20,86 20,80 20,66
20,34 19,68 18,27
100 21,98
21,94 21,88 21,75
21,43 20,77 19,35
125 23,03
23,00 22,94 22,80
22,50 21,83 20,41
150 24,05
24,02 23,97 23,83
23,53 22,88 21,45
175 25,05
25,02 24,97 24,84
24,54 23,90 22,48
200 26,02
25,99 25,94 25,82
25,53 24,90 23,50
225 26,97
26,94 26,89 26,77
26,50 25,89 24,50
250 27,90
27,87 27,82 27,71
27,45 26,85 25,49
275 28,80 28,78 28,74 28,63
28,38 27,81 26,47
300 29,69
29,67 29,63 29,53
29,30 28,74 27,43
350 31,43
31,41 31,37 31,29
31,08 30,58 29,33
400 33,10
33,09 33,06 32,99
32,81 32,37 31,19
450 34,72
34,71 34,69 34,64
34,50 34,11 33,01
500 36,30
36,29 36,28 36,25
36,14 35,81 34,80
550 37,84
37,83 37,83 37,81
37,74 37,48 36,56
600 39,34
39,34 39,34 39,34
39,31 39,11 38,29
650 40,80
40,81 40,82 40,84
40,85 40,71 39,98
700 42,24
42,25 42,27 42,31
42,35 42,28 41,65
750 43,64
43,66 43,69 43,75
43,83 43,83 43,30
800 45,02
45,05 45,08 45,16
45,28 45,35 44,92
850 46,38
46,41 46,45 46,55
46,71 46,84 46,52
900 47,71
47,74 47,80 47,91
48,11 48,31 48,09
950 49,03
49,06 49,12 49,26
49,49 49,76 49,64
1000 50,32
50,36 50,43 50,58
50,86 51,19 51,17
1050 51,59
51,64 51,72 51,89
52,20 52,61 52,69
1100 52,85
52,90 52,98 53,18
53,53 54,00 54,18
1150 54,09
54,14 54,24 54,45
54,83 55,37 55,66
1200 55,31
55,37 55,47 55,70
56,12 56,73 57,11
1250 56,52 56,58 56,69
56,94 57,40 58,07
58,55
1300 57,71
57,78 57,90 58,16
58,66 59,40 59,98
1400 60,06
60,13 60,27 60,57
61,14 62,00 62,78
1500 62,35
62,44 62,59 62,92
63,56 64,55 65,52
1600 64,60
64,69 64,86 65,23
65,94 67,05 68,21
1700 66,80
66,91 67,09 67,49
68,27 69,50 70,84
1800 68,97
69,08 69,28 69,71
70,56 71,91 73,42
1900 71,10
71,22 71,43 71,90
72,80 74,27 75,96
2000 73,20
73,32 73,55 74,05
75,02 76,60 78,45
2100 75,27
75,40 75,64 76,17
77,20 78,89 80,90
2200 77,31
77,45 77,70 78,26
79,36 81,15 83,32
2300 79,34
79,49 79,75 80,34
81,49 83,39 85,71
2400 81,37
81,52 81,79 82,41
83,61 85,61 88,08
2500 83,39
83,55 83,83
84,47 85,73 87,81
90,42
2600 85,41
85,58 85,87 86,54
87,85 90,02 92,75
2700 87,45
87,63 87,93 88,62
89,98 92,23 95,08
2800 89,52
89,70 90,01 90,72
92,12 94,45 97,40
2900 91,61
91,80 92,12 92,85
94,29 96,68 99,72
3000 93,74
93,93 94,26 95,01
96,48 98,93 102,05
Tabelle 2.9. Wärmeleitfähigkeit λ in mW/(m K) für
dissoziierte feuchte Luft als Funktion der Temperatur t und der
Wasserdampfbeladung X bzw. des H2O-Massenanteils x
beim Druck p0 = 100 kPa. Bei anfänglicher Temperatur liegt
Sättigung vor. Berechnet nach David A. Goodwin (Programm: CANTERA),
thermophysikalische Eingangswerte nach J. E. Shepherd (California Institute of
Technology).
----------------------------------------------------------------------------
Wasserdampfbeladung X
0 0,003825
0,010793 0,027586 0,066014
0,154980 0,390952
t H2O-Massenanteil
x
°C 0
0,003810 0,010678 0,026845
0,061926 0,134184 0,281068
----------------------------------------------------------------------------
0 24,41
24,43
15 25,48
25,51 25,55
30 26,53
26,56 26,62 26,72
45 27,57
27,61 27,67 27,80
27,96
60 28,59
28,63 28,71 28,86
29,07 29,11
75 29,59
29,64 29,73 29,91
30,17 30,29 29,50
100 31,24
31,31 31,41 31,63
31,98 32,24 31,65
125 32,87
32,94 33,06 33,33
33,76 34,18 33,81
150 34,47
34,55 34,69
35,00 35,53 36,11
35,98
175 36,05
36,14 36,31 36,66
37,27 38,03 38,16
200 37,62
37,72 37,90 38,30
39,01 39,94 40,35
225 39,18
39,29 39,49 39,93
40,74 41,84 42,54
250 40,73
40,85 41,07 41,56
42,46 43,74 44,74
275 42,27
42,41 42,65 43,18
44,17 45,64 46,94
300 43,81
43,96 44,22 44,79
45,88 47,53 49,15
350 46,88
47,05 47,35 48,01
49,29 51,31 53,58
400 49,95
50,14 50,47 51,23
52,69 55,09 58,02
450 53,00
53,22 53,59 54,43
56,09 58,87 62,47
500 56,05
56,28 56,70 57,63
59,48 62,63 66,93
550 59,08
59,33 59,78 60,80
62,85 66,38 71,39
600 62,07
62,34 62,83 63,94
66,18 70,11 75,83
650 65,00
65,30 65,83 67,04 69,47 73,79
80,26
700 67,87
68,19 68,76 70,06
72,70 77,43 84,66
750 70,65
71,00 71,61 73,01
75,86 81,02 89,05
800 73,41
73,77 74,43 75,93
79,00 84,59 93,44
850 76,13
76,52 77,22 78,82
82,11 88,13 97,80
900 78,82
79,24 79,98 81,68
85,18 91,64 102,13
950 81,49
81,92 82,71 84,51
88,23 95,12 106,44
1000 84,12 84,58 85,41
87,31 91,25 98,57
110,72
1050 86,73
87,21 88,08 90,09
94,23 101,99 114,97
1100 89,31
89,82 90,73 92,83
97,19 105,38 119,20
1150 91,86
92,39 93,35 95,55
100,12 108,74 123,40
1200 94,39
94,94 95,94 98,24
103,03 112,08 127,57
1250 96,89
97,47 98,50 100,90
105,90 115,38 131,72
1300 99,36
99,96 101,04 103,54
108,75 118,66
135,84
1400 104,23
104,88 106,04 108,74
114,37 125,14 144,00
1500 109,00
109,70 110,94 113,83
119,89 131,51 152,06
1600 113,67
114,42 115,75 118,83
125,31 137,78 160,04
1700 118,25
119,05 120,46 123,74
130,63 143,97 167,94
1800 122,75
123,59 125,09 128,56
135,88 150,09 175,81
1900 127,15
128,06 129,64 133,32
141,06 156,16 183,68
2000 131,49
132,45 134,13 138,01
146,21 162,22 191,61
2100 135,75
136,78 138,57 142,68
151,34 168,32 199,71
2200 139,96
141,08 142,98 147,34
156,52 174,55 208,10
2300 144,13
145,35 147,39 152,04
161,81 181,00 216,98
2400 148,26
149,62 151,83 156,83
167,29 187,84 226,60
2500 152,39
153,91 156,35 161,78
173,07 195,24 237,24
2600 156,54
158,26 160,98 166,97
179,30 203,42 249,24
2700 160,71
162,67 165,76 172,46
186,09 212,61 262,95
2800 164,93
167,17 170,72 178,32
193,59 223,04 278,65
2900 169,23
171,77 175,86 184,57
201,87 234,87 296,54
3000 173,60
176,47 181,17 191,19
210,93 248,13 316,66
Tabelle 2.10. Spezifische Enthalpie h dissoziierter feuchter
Luft in kJ/kg, berechnet mit Kondensation, im Zustand idealer Gase als Funktion
der Temperatur t und der Wasserdampfbeladung X bzw. des H2O-Massenanteils
x. Gesamtdruck ist der Standarddruck p0 = 100 kPa.
Berechnet nach David A. Goodwin (Programm: CANTERA), thermodynamische
Eingangswerte nach Alexander Burcat.
----------------------------------------------------------------------------
Wasserdampfbeladung X
0
0,1 0,2 0,3 0,4 0,5 0,6
t H2O-Massenanteil
x
°C 0
0,090909 0,166667 0,230769
0,285714 0,333333 0,375000
----------------------------------------------------------------------------
-50 -79,5855
-1563,23 -2799,66 -3845,87
-4742,62 -5519,81 -6199,84
-45 -74,5718
-1557,82 -2793,97 -3839,95
-4736,50 -5513,50 -6193,39
-40 -69,5581
-1552,36 -2788,22 -3833,95
-4730,29 -5507,11 -6186,83
-35 -64,5443
-1546,82 -2782,38 -3827,85
-4723,97 -5500,61 -6180,17
-30 -59,5303
-1541,16 -2776,42 -3821,63
-4717,53 -5493,98 -6173,37
-25 -54,5160
-1535,33 -2770,28 -3815,24
-4710,91 -5487,16 -6166,39
-20 -49,5013
-1529,25 -2763,89 -3808,59
-4704,05 -5480,11 -6159,17
-15 -44,4861
-1522,79 -2757,15 -3801,61
-4696,86 -5472,74 -6151,64
-10 -39,4702
-1515,79 -2749,89 -3794,13
-4689,19 -5464,92 -6143,67
-5 -34,4537
-1508,00 -2741,90 -3785,96
-4680,87 -5456,46 -6135,11
0 -29,4363
-1499,10 -2732,86 -3776,81
-4671,63 -5447,14 -6125,71
5 -24,4180
-1459,81 -2667,34 -3689,09
-4564,88 -5323,90 -5988,03
10 -19,3987
-1448,29 -2655,01 -3676,08
-4551,29 -5309,80 -5973,49
15 -14,3783
-1435,04 -2641,10 -3661,62
-4536,35 -5294,45 -5957,79
20 -9,35671
-1419,53 -2625,14 -3645,27
-4519,67 -5277,48 -5940,56
25 -4,33379
-1401,10 -2606,50 -3626,45
-4500,70 -5258,38 -5921,35
30 0,69052
-1378,91 -2584,42 -3604,47
-4478,79 -5236,54 -5899,57
35 5,71633
-1351,87 -2557,89 -3578,37
-4453,07 -5211,15 -5874,46
40 10,7437
-1318,54 -2525,60 -3546,96
-4422,42 -5181,14 -5845,03
45 15,7728
-1276,99 -2485,78 -3508,60
-4385,31 -5145,12 -5809,95
50 20,8037
-1224,56 -2435,98 -3461,03
-4339,65 -5101,12 -5767,40
55 25,8364
-1191,72 -2372,75 -3401,06
-4282,47 -5046,36 -5714,76
60 30,8711
-1186,29 -2290,92 -3323,92
-4209,35 -4976,72 -5648,17
65 35,9078 -1180,86
-2194,83 -3222,22 -4113,42
-4885,79 -5561,62
70 40,9467
-1175,42 -2189,06 -3083,69
-3983,29 -4762,94 -5445,14
75 45,9878
-1169,99 -2183,30 -3040,71
-3798,55 -4589,12 -5280,87
80 51,0312
-1164,55 -2177,53 -3034,66
-3769,35 -4406,08 -5033,20
85 56,0770
-1159,10 -2171,75 -3028,61
-3763,06 -4399,58 -4956,54
90 61,1254
-1153,66 -2165,97 -3022,55
-3756,76 -4393,07 -4949,85
95 66,1763
-1148,21 -2160,19 -3016,49
-3750,46 -4386,56 -4943,15
100 71,2298
-1142,75 -2154,41 -3010,42
-3744,15 -4380,04 -4936,45
125 96,5406
-1115,44 -2125,42 -2980,01
-3712,53 -4347,37 -4902,86
150 121,930
-1088,02 -2096,31 -2949,48
-3680,77 -4314,55 -4869,11
175 147,409
-1060,49 -2067,08 -2918,81
-3648,86 -4281,57 -4835,19
200 172,985
-1032,85 -2037,71 -2887,98
-3616,79 -4248,41 -4801,09
225 198,668
-1005,08 -2008,20 -2857,00
-3584,54 -4215,07 -4766,79
250 224,466
-977,170 -1978,53 -2825,84
-3552,10 -4181,53 -4732,28
275 250,385
-949,116 -1948,70 -2794,50
-3519,48 -4147,79 -4697,56
300 276,433
-920,911 -1918,70 -2762,98
-3486,65 -4113,83 -4662,61
325 302,616
-892,547 -1888,52 -2731,26
-3453,61 -4079,65 -4627,43
350 328,938
-864,020 -1858,15 -2699,34
-3420,36 -4045,24 -4592,01
400 382,018
-806,459 -1796,86 -2634,88
-3353,19 -3975,73 -4520,45
450 435,701
-748,198 -1734,78 -2569,58
-3285,12 -3905,26 -4447,88
500 489,999
-689,225 -1671,91 -2503,41
-3216,13 -3833,82 -4374,30
550 544,911
-629,537 -1608,24 -2436,38
-3146,21 -3761,40 -4299,69
600 600,424
-569,147 -1543,79 -2368,49
-3075,37 -3688,00 -4224,06
650 656,506 -508,079 -1478,57 -2299,75
-3003,62 -3613,64 -4147,41
700 713,113
-446,373 -1412,61 -2230,20
-2930,99 -3538,34 -4069,77
750 770,184
-384,076 -1345,96 -2159,86
-2857,49 -3462,10 -3991,14
800 827,691
-321,207 -1278,62 -2088,75
-2783,14 -3384,94 -3911,52
850 885,630
-257,773 -1210,61 -2016,86
-2707,94 -3306,87 -3830,93
900 943,996
-193,784 -1141,94 -1944,23
-2631,91 -3227,89 -3749,38
950 1002,78
-129,242 -1072,61 -1870,85
-2555,06 -3148,04 -3666,90
1000 1062,00
-64,1492 -1002,63 -1796,74
-2477,41 -3067,32 -3583,49
1050 1121,63
1,49757 -932,001 -1721,89
-2398,94 -2985,73 -3499,16
1100 1181,69
67,7055 -860,708 -1646,30
-2319,67 -2903,27 -3413,91
1200 1303,10
201,859 -716,085 -1492,84
-2158,64 -2735,68 -3240,60
1300 1426,28
338,479 -568,568 -1336,14
-1994,10 -2564,35 -3063,33
1400 1551,27
477,854 -417,804 -1175,82
-1825,62 -2388,82 -2881,65
1500 1678,21
620,437 -263,227 -1011,23
-1652,51 -2208,36 -2694,78
1600 1807,27
766,898 -103,979 -841,388
-1473,68 -2021,79 -2501,46
1700 1938,78
918,209 61,1870 -664,835
-1287,50 -1827,35 -2299,83
1800 2073,25
1075,75 234,044 -479,496
-1091,66 -1622,48 -2087,12
1900 2211,48
1241,42 417,064 -282,453
-882,835 -1403,56 -1859,40
2000 2354,66
1417,84 613,629 -69,6825
-656,458 -1165,49 -1611,12
2100 2504,43
1608,44 828,284 164,262
-406,282 -901,308 -1334,65
2200 2662,96
1817,74 1067,00 426,610
-123,971 -601,689 -1019,77
2300 2832,97
2051,39 1337,46 726,722
201,320 -254,464 -653,129
2400 3017,73
2316,32 1649,21 1076,36
583,257 155,689 -217,959
2500 3220,93
2620,63 2013,71 1489,74
1038,37 647,244 305,833
2600 3446,42
2973,28 2444,03 1983,22
1585,65 1241,31 941,065
2700 3697,94
3383,40 2954,08 2574,34
2245,47 1960,46 1712,07
2800 3978,52
3859,16 3557,11 3280,16
3037,77 2826,90
2642,85
2900 4289,89
4405,99 4263,49 4114,71
3979,40 3859,75 3754,45
3000 4631,71
5024,53 5077,73 5085,59
5080,51 5071,36 5061,21
Tabelle 2.11. Spezifische konventionelle Entropie s0(t)
dissoziierter feuchter Luft in kJ/(kg K), berechnet mit Kondensation, im
Zustand idealer Gase als Funktion der Temperatur t und der
Wasserdampfbeladung X bzw. des H2O-Massenanteils x.
Bezugsdruck ist der Standarddruck p0 = 100 kPa. Berechnet
nach David A. Goodwin (Programm: CANTERA), thermodynamische Eingangswerte nach
Alexander Burcat.
----------------------------------------------------------------------------
Wasserdampfbeladung X
0 0,1 0,2 0,3 0,4 0,5 0,6
t H2O-Massenanteil
x
°C 0
0,090909 0,166667 0,230769
0,285714 0,333333 0,375000
----------------------------------------------------------------------------
-50 6,57344 6,14948
5,79590 5,49672 5,24028
5,01803 4,82357
-45 6,59566 6,17344
5,82110 5,52297 5,26743
5,04596 4,85218
-40 6,61740 6,19712
5,84604 5,54898 5,29435
5,07368 4,88058
-35 6,63868 6,22064
5,87083 5,57484 5,32114
5,10126 4,90887
-30 6,65952 6,24415
5,89561 5,60070 5,34791
5,12883 4,93714
-25 6,67993 6,26788
5,92059 5,62674 5,37486
5,15656 4,96556
-20 6,69994 6,29215
5,94607 5,65323 5,40223
5,18469 4,99434
-15 6,71955 6,31741
5,97245 5,68056 5,43037
5,21353 5,02380
-10 6,73880 6,34427
6,00030 5,70924 5,45976
5,24355 5,05437
-5 6,75768 6,37358
6,03038 5,73999 5,49108
5,27536 5,08661
0 6,77622 6,40647
6,06376 5,77378 5,52522
5,30981 5,12132
5 6,79443 6,54997
6,30328 6,09455 5,91563
5,76057 5,62490
10 6,81231 6,59100
6,34719 6,14089 5,96406
5,81081 5,67671
15 6,82989 6,63740
6,39587 6,19150 6,01633
5,86452 5,73168
20 6,84717 6,69075
6,45080 6,24777 6,07374
5,92291 5,79094
25 6,86416 6,75306
6,51382 6,31139 6,13787
5,98749 5,85591
30 6,88087 6,82684
6,58724 6,38451 6,21074
6,06013 5,92835
35 6,89731 6,91529
6,67401 6,46985 6,29486
6,14319 6,01049
40 6,91350 7,02256
6,77793 6,57094 6,39352
6,23975 6,10520
45 6,92943 7,15416
6,90406 6,69245 6,51106
6,35386 6,21630
50 6,94512 7,31761
7,05931 6,84075 6,65341
6,49105 6,34899
55 6,96057 7,41880
7,25344 7,02487 6,82895
6,65916 6,51059
60 6,97580 7,43522
7,50083 7,25808 7,05002
6,86969 6,71191
65 6,99081 7,45140
7,78725 7,56098 7,33573
7,14051 6,96969
70 7,00560 7,46735
7,80417 7,96749 7,71759
7,50101 7,31150
75 7,02018 7,48308
7,82086 8,09242 8,25183
8,00368 7,78654
80 7,03457
7,49860 7,83731 8,10968
8,33551 8,52647 8,49251
85 7,04875 7,51390
7,85355 8,12670 8,35321
8,54476 8,70913
90 7,06275 7,52900
7,86957 8,14350 8,37068
8,56280 8,72768
95 7,07657 7,54391
7,88538 8,16008
8,38792 8,58061 8,74599
100 7,09020 7,55862
7,90099 8,17645 8,40494
8,59820 8,76407
125 7,15585 7,62948
7,97619 8,25532 8,48696
8,68295 8,85120
150 7,21770 7,69626
8,04709 8,32970 8,56431
8,76289 8,93341
175 7,27620 7,75946
8,11420 8,40012 8,63758
8,83862 9,01129
200 7,33173 7,81948
8,17797 8,46705 8,70722
8,91061 9,08534
225 7,38463 7,87668
8,23875 8,53087 8,77364
8,97928 9,15598
250 7,43516 7,93134
8,29686 8,59189 8,83716
9,04497 9,22357
275 7,48355 7,98372
8,35256 8,65041 8,89808
9,10798 9,28840
300 7,53002 8,03404
8,40608 8,70664 8,95665
9,16856 9,35075
325 7,57473 8,08248
8,45762 8,76081 9,01306
9,22693 9,41082
350 7,61784 8,12920
8,50735 8,81309 9,06752
9,28328 9,46883
400 7,69977 8,21804
8,60196 8,91257 9,17119
9,39057 9,57929
450 7,77669 8,30152
8,69091 9,00614 9,26873 9,49154 9,68326
500 7,84929 8,38037
8,77497 9,09461 9,36097
9,58706 9,78165
550 7,91811 8,45518
8,85476 9,17862 9,44860
9,67782 9,87515
600 7,98358 8,52640
8,93077 9,25869 9,53214
9,76437 9,96434
650 8,04603 8,59440
9,00340 9,33523 9,61204
9,84718 10,04970
700 8,10575 8,65949
9,07298 9,40860 9,68866
9,92662 10,13160
750 8,16293 8,72192
9,13976 9,47908 9,76230
10,00301 10,21039
800 8,21781 8,78191
9,20402 9,54694 9,83325
10,07663 10,28636
850 8,27058 8,83968
9,26596 9,61241 9,90174
10,14774 10,35976
900 8,32142 8,89542
9,32578 9,67568 9,96797
10,21653 10,43079
950 8,37049 8,94929
9,38364 9,73692 10,03211
10,28319 10,49964
1000 8,41793 9,00145
9,43972 9,79631 10,09434
10,34787 10,56647
1050 8,46388 9,05203
9,49413 9,85397 10,15478
10,41072 10,63144
1100 8,50843 9,10114
9,54702 9,91005 10,21359
10,47189 10,69468
1200 8,59377 9,19543
9,64867 10,01791 10,32677
10,58968 10,81650
1300 8,67466 9,28515
9,74555 10,12081 10,43482
10,70220 10,93291
1400 8,75169 9,37104
9,83845 10,21960 10,53864
10,81036 11,04486
1500 8,82537 9,45380
9,92817 10,31513 10,63912
10,91510 11,15332
1600 8,89617 9,53414
10,01552 10,40830 10,73721
11,01744 11,25936
1700 8,96456 9,61282
10,10141 10,50011 10,83402
11,11855 11,36421
1800 9,03103 9,69069
10,18685 10,59172 10,93082
11,21980 11,46934
1900 9,09615 9,76872
10,27305 10,68451 11,02917
11,32291 11,57658
2000 9,16055 9,84807
10,36145 10,78021 11,13098
11,42998 11,68824
2100 9,22502 9,93010
10,45383 10,88089 11,23864
11,54366 11,80721
2200 9,29043 10,01646
10,55232 10,98912 11,35511
11,66727 11,93712
2300 9,35781 10,10904
10,65948 11,10802 11,48399
11,80483 12,08237
2400 9,42823 10,21001
10,77828 11,24126 11,62953
11,96112 12,24819
2500 9,50283 10,32172
10,91208 11,39300 11,79658
12,14155 12,44045
2600 9,58269 10,44659
11,06445 11,56772 11,99035
12,35188 12,66535
2700 9,66871 10,58684
11,23887 11,76986 12,21598
12,59779 12,92899
2800 9,76151 10,74417
11,43827 12,00324 12,47795
12,88428 13,23675
2900 9,86119 10,91921
11,66437 12,27036 12,77934
13,21486 13,59254
3000 9,96722 11,11107
11,91693 12,57150 13,12086
13,59066 13,99784
Tabelle 2.12. Molare Masse M dissoziierter feuchter Luft in
kg/kmol im Zustand idealer Gase als Funktion der Temperatur t und der
Wasserdampfbeladung X bzw. des H2O-Massenanteils x zur
Umrechnung der spezifischen Größen z der Tabellen 2.10 und 2.11 in molare
Größen gemäß Z = z M. Gesamtdruck ist der Standarddruck p0
= 100 kPa. Berechnet nach David A. Goodwin (Programm: CANTERA),
thermodynamische Eingangswerte nach Alexander Burcat.
----------------------------------------------------------------------------
Wasserdampfbeladung X
0 0,1 0,2 0,3 0,4 0,5 0,6
t H2O-Massenanteil
x
°C 0
0,090909 0,166667 0,230769
0,285714 0,333333 0,375000
----------------------------------------------------------------------------
1000 28,9652 27,4484
26,3008 25,4021 24,6792
24,0853 23,5885
1050 28,9652 27,4484
26,3007 25,4020 24,6792
24,0852 23,5885
1100 28,9652 27,4483
26,3006 25,4019 24,6790
24,0851 23,5883
1150 28,9652 27,4481
26,3004 25,4017 24,6788
24,0849 23,5881
1200 28,9652 27,4479
26,3001 25,4014 24,6785
24,0846 23,5878
1300 28,9651 27,4471
26,2992 25,4003 24,6774
24,0834 23,5867
1400 28,9650 27,4455
26,2972 25,3982 24,6752
24,0812 23,5844
1500 28,9646 27,4425
26,2936 25,3943 24,6711
24,0770 23,5801
1600 28,9636 27,4373
26,2873 25,3874 24,6639
24,0696 23,5726
1700 28,9616 27,4285
26,2766 25,3758 24,6517
24,0570 23,5598
1800 28,9576 27,4141
26,2594 25,3570 24,6320
24,0366 23,5388
1900 28,9503 27,3914
26,2323 25,3275 24,6008
24,0042 23,5056
2000 28,9375 27,3568
26,1910 25,2822 24,5529
23,9544 23,4543
2100 28,9166 27,3050
26,1294 25,2146 24,4812
23,8795 23,3768
2200 28,8837 27,2296
26,0396 25,1159 24,3760
23,7693 23,2626
2300 28,8342 27,1224
25,9117 24,9748 24,2253
23,6113 23,0985
2400 28,7628 26,9735
25,7337 24,7780 24,0148
23,3901 22,8686
2500 28,6634 26,7721
25,4922 24,5103 23,7283
23,0891 22,5561
2600 28,5301 26,5070
25,1730 24,1565 23,3497
22,6919 22,1445
2700 28,3573 26,1682
24,7639 23,7029 22,8654
22,1852 21,6210
2800 28,1412 25,7492
24,2566 23,1414 22,2676
21,5619 20,9794
2900 27,8806 25,2496
23,6503 22,4721 21,5577
20,8247 20,2232
3000 27,5777 24,6769
22,9545 21,7063 20,7486
19,9877 19,3675
Vielen Dank für die Tabellen. Ich habe lange nach diesen Werten gesucht.
AntwortenLöschenWäre mehr perfekt, wenn Literaturverzeichnis Vorhanden wäre. Das macht es aber nicht weniger perfekt.
AntwortenLöschen