III. Technische Thermodynamik, Wärme- und Stoffübertragung

Transkript

1

2

3 III Fachgebiet echnische hermdynamik Prf. Dr.-Ing. habil. H.-J. retzschmar Stffwertsammlung echnische hermdynamik, Wärme- und Stffübertragung Peridensystem der Elemente ab. 0 ab. ab. 2 ab. 3 ab. 4 ab. 5 ab. 6 ab. 7 ab. 8 ab. 9 Umrechnung englischer Einheiten in SI-Einheiten Physikalische nstanten Allgemeine stffsezifische nstanten Fluide im Idealgaszustand Stffwerte vn Wasserflüssigkeit (inkmressibel) Stffwerte vn Luft (trcken) bei = 0,0325 MPa als reales Fluid Sezifisches Vlumen vn Luft (trcken) als reales Fluid Sezifische isbare Wärmekaazität vn Luft (trcken) als reales Fluid Sezifische Enthalie vn Luft (trcken) als reales Fluid Sezifische Entrie vn Luft (trcken) als reales Fluid ab. 0 Stffwerte vn flüssigen Metallen ab. ransrteigenschaften ausgewählter Feststffe (Mittelwerte) ab. 2 Gesamtemissinsverhältnisse ausgewählter Stffe (Mittelwerte) ab. 3 Heizwerte und Brennwerte (Mittelwerte) ab. 4 Diffusinskeffizienten D AB vn Damf-Luft-Gemischen bei 0,0325 MPa und 25 C ab. 5 Diffusinskeffizienten D AB vn Damf-Damf-Gemischen bei 0,0325 MPa und 25 C ab. 6 Diffusinskeffizienten D AB vn binären Flüssigkeitsgemischen bei 0,0325 MPa und 25 C ab. 7 Faktren für Äquivalente Luftschichtdicken (Mittelwerte) zur Berechnung der Wasserdamfdiffusin (DIN 408) ab. 8 Sättigungsdruck vn Wasser Prf. Dr.-Ing. habil. H.-J. retzschmar, Hchschule Zittau/Görlitz, Fachgebiet echnische hermdynamik

4 IV Prf. Dr.-Ing. habil. H.-J. retzschmar, Hchschule Zittau/Görlitz, Fachgebiet echnische hermdynamik Peridensystem der Elemente 8 H Wasser- stff, He Helium 4, Li Lithium 6,94 4 Be Beryllium 9,022 Symbl Name H Wasser- stff,0079 rdnungszahl Atmgewicht 5 B Br 0,8 6 C hlenstff 2,0 7 N Stickstff 4,007 8 Sauerstff 5,999 9 F Flur 8,988 0 Ne Nen 20,80 Na Natrium 22,990 2 Mg Magnesium 24, Al Aluminium 26,982 4 Si Silicium 28,086 5 P Phshr 30,974 6 S Schwefel 32,065 7 Cl Chlr 35,453 8 Ar Argn 39,948 9 alium 39, Ca Calcium 40,078 2 Sc Scandium 44, i itan 47, V Vanadium 50, Cr Chrm 5, Mn Mangan 54, Fe Eisen 55, C Cbalt 58, Ni Nickel 58, Cu ufer 63, Zn Zink 65,38 3 Ga Gallium 69, Ge Germanium 72,64 33 As Arsen 74, Se Selen 78,96 35 Br Brm 79, r rytn 83, Rb Rubidium 85, Sr Strntium 87,62 39 Y Yttrium 88, Zr Zircnium 9,224 4 Nb Nib 92, M Mlybdän 95,96 43 c echnetium 95,96 44 Ru Ruthenium 0,07 45 Rh Rhdium 02,9 46 Pd Palladium 06,42 47 Ag Silber 07,87 48 Cd Cadmium 2,4 49 In Indium 4,82 50 Sn Zinn 8,7 5 Sb Antimn 2,76 52 e ellur 27,60 53 I Id 26,90 54 Xe Xenn 3,29 55 Cs Cäsium 32,9 56 Ba Barium 37, flgende Seite 72 Hf Hafnium 78,49 73 a antal 80,95 74 W Wlfram 83,84 75 Re Rhenium 86,2 76 s smium 90,23 77 Ir Iridium 92,22 78 Pt Platin 95,08 79 Au Gld 96,97 80 Hg Quecksilber 200,59 8 l hallium 204,38 82 Pb Blei 207,2 83 Bi Bismut 208,98 84 P Plnium 209,98 85 At Astat (20) 86 Rn Radn (222) 87 Fr Francium (223) 88 Ra Radium 226, flgende Seite 04 Rf Rutherfrdium (26) 05 Db Dubnium (262) 06 Sg Sea- brgium (263) 07 Bh Bhrium (262) 08 Hs Hassium (265) 09 Mt Meitnerium (266) 0 Ds Darm- stadtium (269) Rg Rönt- genium (272) 2 Cn Cernicium (277) 3 Uut Ununtrium (287) 4 Fl Flervium (289) 5 Uu Unun- entium (288) 6 Lv Livermrium (289) 7 Uus Unun- setium (293) 8 Uu Unun- ctium (294)

5 V Prf. Dr.-Ing. habil. H.-J. retzschmar, Hchschule Zittau/Görlitz, Fachgebiet echnische hermdynamik Peridensystem der Elemente (Frtsetzung) Lanthanide 57 La Lanthan 38,9 58 Ce Cer 40,2 59 Pr Prasedym 40,9 60 Nd Nedym 44,24 6 Pm Prmethium 46,90 62 Sm Samarium 50,36 63 Eu Eurium 5,96 64 Gd Gadlinium 57,25 65 b erbium 58,93 66 Dy Dysrsium 62,50 67 H Hlmium 64,93 68 Er Erbium 67,26 69 m hulium 68,93 70 Yb Ytterbium 73,05 7 Lu Lutetium 74,97 Actinide 89 Ac Actinium (227) 90 h hrium 232,04 9 Pa Prtaktinium 23,04 92 U Uran 238,03 93 N Netunium 237,05 94 Pu Plutnium 244,0 95 Am Americium 243,0 96 Cm Curium 247,0 97 Bk Berkelium (247,0) 98 Cf Califrnium (25,0) 99 Es Einsteinium (254,0) 00 Fm Fermium (257,0) 0 Md Mendelevium (258) 02 N Nbelium (259) 03 Lr Lawrencium (260)

6 ab. 0 Umrechnung englischer Einheiten in SI-Einheiten Maßeinheit Umrechnung Inch in (") = 0,0254 m Ft (2 in) ft = 0,3048 m Yard (3 ft) yd = 0,944 m Mile mile = 609,344 m Nautical mile nmile = 852 m Galln (U.S.) gal = 0, m 3 Galln (U..) gal = 0, m 3 Barrel (U.S.) barrel = 0,56 m 3 Barrel Petrl (U.S.) barrel Petrl = 0, m 3 Barrel (U..) barrel = 0,637 m 3 Ft er minute ft min = 0,00508 m s Yard er secnd yd s = 0,944 m s Mile er hur mile h =,6093 km h Pund lb = 0, kg Cubic ft er und ft 3 lb = 0, m 3 kg Pund er cubic ft lb ft 3 = 6,0846 kg m 3 Pund-frce er square inch si ( lbf in 2 ) = 6, kpa Hrsewer hur h h = 2684,52 kj Hrsewer h = 0,74570 kw British thermal unit (Internatinal able) Btu =, kj Btu er hur Btu h = 0,29307 W Btu er und Btu lb = 2,326 Btu er cubic ft Btu ft 3 = 37,25895 kj m 3 Btu er und and Rankine Btu lb R = 4,868 Btu er hur, ft, and Rankine Btu h ft R =, W m Btu er hur, square ft, and Rankine Btu h ft 2 R = 5, W m 2 ab. Physikalische nstanten Universelle (mlare) Gasknstante (aktueller Wert: AVGADR-nstante R = R m = 8,34472 kj kml 4 4 R = R m = 8, kj kml ) 26 NA = 6, kml Erdfallbeschleunigung 2 g = 9,80665 m s Lichtgeschwindigkeit im Vakuum Strahlungskeffizient des Schwarzen Strahlers (aktueller Wert: 6 c = 299, m s 2 4 C s = 5,6705W m C s = 5, W m ) Prf. Dr.-Ing. habil. H.-J. retzschmar, Hchschule Zittau/Görlitz, Fachgebiet echnische hermdynamik

7 ab. 2 Allgemeine stffsezifische nstanten Daten am kritischen Punkt Fluid Summenfrmel M R c c c kg kml MPa kg m 3 Wasser H 2 8,05 0, ,096 22, ,0 Stickstffmnxid N 30,006 0, ,2 6, Stickstffdixid N 2 46,0 0,807 43,35 0,3 550 hlenmnxid C 28,0 0, ,9 3, hlendixid C 2 44,0 0, ,2 7, , Schwefeldixid S 2 64,065 0, ,7 7, Schwefeltrixid S 3 80,06 0, ,45 8, Luft (trcken) 28,960 0, ,507 3, Ammniak NH 3 7,03 0, ,60, R2 CCl 2 F 2 20,92 0, ,6 4,6 558 R22 CHF 2 Cl 86,469 0, ,33 4, R23 CHF 3 70,0 0, ,75 4, R23 CHCl 2 CF 3 52,93 0, ,94 3, ,9 R34a CH 2 FCF 3 02,03 0, ,3 4, R42b CH 3 CF 2 Cl 00,50 0, ,3 4, R52a CH 3 CHF 2 66,05 0, ,7 4, R227 CF 3 CHFCF 3 70,03 0, ,05 2, R502,6 0, ,36 4,08 56 Helium He 4,003 2,077 5,20 0, ,64 Nen Ne 20,79 0, ,40 2, ,5 Argn Ar 39,948 0, ,8 4, ,7 Stickstff N 2 28,03 0, ,20 3, Wasserstff H 2 2,06 4,242 33,24,296 30, Sauerstff 2 3,999 0, ,576 5, , Flur F 2 37,997 0, ,30 5, Chlr Cl 2 70,906 0,726 47,0 7, zn 3 47,998 0, , 5, Methan CH 4 6,043 0, ,555 4,595 62,2 Ethylen (Ethen) C 2 H 4 28,054 0, ,37 5,02 28 Ethan C 2 H 6 30,069 0, ,32 4, ,8 Prylen C 3 H 6 42,08 0, ,57 4, ,4 Pran C 3 H 8 44,096 0, ,89 4, ,478 Butan C 4 H 0 58,22 0, ,25 3, ,0 Isbutan C 4 H 0 58,22 0, ,8 3, ,5 Benzl C 6 H 6 78, 0, ,09 4, Dihenyl C 2 H 0 54,20 0, ,65 3,8 343 Methanl CH 3 H 32,04 0, ,58 8, Ethanl C 2 H 5 H 46,07 0, ,25 6, ,5 Pranl C 3 H 7 H 60,09 0, ,40 4, ,7 Butanl C 4 H 9 H 74,2 0,28 562,98 4,43 269,9 Glyzerin C 2 H ,09 0, ,0 7,5 332 Acetn C 3 H 6 58,08 0, ,45 4, Phenl C 6 H 6 94, 0, ,25 6,3 40 Frmaldehyd CH 2 30,03 0, ,7 266 Schwefelhexaflurid SF 6 46,05 0, ,729 3, Prf. Dr.-Ing. habil. H.-J. retzschmar, Hchschule Zittau/Görlitz, Fachgebiet echnische hermdynamik

8 ab. 3- Fluide im Idealgaszustand Werte nach VDI-Richtlinie 4670 C Luft (trcken) Wasserdamf - H 2 c c h c h s s c -70,0026, ,23-0,350,85, ,4 8, ,0028, ,59-0,04086,8523, ,7 8, ,0029, ,30 0,0030,8533, ,70 8,862-30,0030, ,0 0,04522,8545, ,24 8, ,0032, ,070 0,08565,8558, ,79 9,047-0,0035,0036-0,036 0,2452,8572, ,35 9,0866 0,0038,0038 h 0 s 0,696,8589,8589 h 2500,93 s 9,559 0,0042,0040 0,040 0,9805,8608, ,53 9, ,0046, ,084 0,2329,8629, ,5 9, ,0048, ,07 0,2499,864, ,47 9,389 30,005, ,32 0,26662,8654, ,79 9, ,0057, ,86 0,29925,868, ,46 9,405 50,0063, ,245 0,33087,87, ,5 9, ,0070, ,3 0,3655,8743, ,88 9, ,0077, ,385 0,3934,8779, ,64 9,588 80,0085, ,466 0,42030,886, ,44 9, ,0094, ,556 0,44847,8856, ,28 9, ,004, ,66 0,4759,8898, ,5 9, ,026, ,89 0,52872,8988, ,04 9, ,05,0083 4,6 0,57902,9084, , 9,933 60,080,0093 6,49 0,62708,986, ,38 0, ,02,005 8,88 0,6730,9292, ,86 0,04 200,0245,07 202,34 0,7727,9402, ,55 0, ,034, ,80 0,82065,9690, ,27 0, ,0449, ,77 0,9552,9993, ,47 0, ,0565, ,30, ,0308, ,22 0, ,0684,0286 4,42, ,0633, ,57 0, ,0805, ,4,6236 2,0968, ,57, ,0924, ,47, ,30, ,26,88 550,040, ,38,3038 2,659, ,68, ,5, ,86, ,203 2, ,86, ,258, ,88,4362 2,237 2, ,82, ,358, ,42,4927 2,2729 2, ,57, ,454, ,46, ,3088 2, ,, ,543, ,95, ,3446 2, ,45, ,627, ,88, ,3800 2, ,57 2, ,706, ,2, ,449 2, ,44 2,38 950,779, ,93, ,4494 2, ,05 2, ,848,090 09,00, ,483 2, ,37 2, ,93, ,40, ,56 2, ,35 2, ,974,00 20,2, ,5483 2, ,96 2, ,203, ,4,9369 2,5797 2, ,7 2, ,2084, ,42, ,60 2, ,9 2, ,234,28 390,97 2,0824 2,6396 2, ,6 2, ,282,67 45,76 2,0575 2,668 2, ,86 2, ,2227,206 52,79 2, ,6957 2, ,96 2, ,2270, ,03 2,3286 2,7223 2, ,4 3, ,230, ,48 2,6905 2,7479 2, ,7 3, ,2348,34 697,2 2,2043 2,7726 2, ,9 3, ,2385, ,96 2, ,7964 2, ,4 3, ,2420,38 820,97 2, ,892 2, ,8 3, ,2454,43 883,6 2, ,842 2, ,32 3, ,2486, ,5 2, ,8623 2, ,92 3,5037 h h c c d s = s + d c

9 ab. 3-2 Fluide im Idealgaszustand Werte nach VDI-Richtlinie 4670 C Sauerstff 2 Stickstff N 2 c c h c h s s c -70 0,9030 0, ,842-0,27000,039, ,742-0, ,9095 0,926-45,630-0,8450,0392,0392-5,958-0, ,947 0, ,59-0,4455,039,0392-4,566-0, ,92 0, ,40-0,0626,039,0392-3,75-0, ,9287 0,9379-8,276-0,06948,039, ,784-0, ,9377 0,9427-9,43-0,0340,0392,0392-0,392-0, ,9480 0,9480 h 0 s 0,0393,0393 h 0 s 0 0 0,9599 0,9539 9,54 0,0329,0394,0394 0,394 0, ,9734 0,9602 8,320 0,06473,0396, ,789 0, ,9808 0, ,909 0,08025,0397, ,987 0, ,9885 0,967 27,50 0,09552,0398,0395 3,86 0, , , ,698 0,2537,0400,0396 4,585 0, , , ,92 0,5433,0403,0397 5,986 0, , , ,45 0,8247,0406, ,39 0, , , ,399 0,20984,0409, ,798 0, , , ,675 0,23649,043,040 83,209 0, ,933 0, ,974 0,26245,048, ,625 0, , , ,298 0,28778,0423, ,045 0, , ,92520,024 0,33666,0436, ,904 0, , , ,860 0,38340,0452,044 45,79 0, , , ,84 0,4289,047, ,73 0, , , ,889 0,4724,0493, ,676 0, ,9635 0, ,089 0,5270,059, ,688 0, , , ,645 0,6025,0597, ,47 0, , , ,993 0,70033,0692, ,688 0, , , ,0 0,7845,0799, ,42 0, , , ,95 0,86262,095, ,694 0, , , ,465 0,93644,035, ,567, , , ,598,0064,56, ,043, , , ,295,0728,276,07 589,25, , , ,506,3494,394, ,802, , , ,83,947,507, ,057, ,08600, ,284,2578,66, ,868, ,09337, ,77,30638,720, ,20, ,003,058 82,6,3587,87, ,054, ,0635, ,775,40895,909, ,373, ,22, ,239,45727,996, ,39, ,75, ,98,50380,2077,30 057,322, ,2256, ,984,54867,253,79 7,898, ,2735, ,233,59200,2224,227 78,84, ,39, ,76,63390,2290, ,26, ,3628, ,42,67447,2352,39 30,73, ,405,05 26,342,7378,2409, ,635, ,446, ,470,759,2464, ,820, ,486, ,80,78895,254, ,266, ,5253, ,329,82495,2562, ,957, ,5638, ,052,85997,2606,528 63,878 2, ,609, ,967,89408,2648, ,05 2, ,6396, ,07,92732,2687, ,355 2, ,6770, ,362,95974,2725, ,886 2,38 600,74, ,840,9938,2759, ,597 2, ,75, ,503 2,02229,2792,706 93,478 2, ,7878,083 84,350 2,05249,2824, ,59 2,2329 h h c c d s = s + d c

10 ab. 3-3 Fluide im Idealgaszustand Werte nach VDI-Richtlinie 4670 C hlenmnxid C hlendixid C 2 c c h c h s s c -70,0390,039-72,738-0, , , ,476-0, ,0390,039-5,957-0,2009 0,7634 0, ,474-0, ,0390,0392-4,567-0,6454 0, , ,804-0, ,039,0392-3,77-0,209 0, , ,02-0, ,0392, ,786-0, ,7956 0, ,25-0,0630-0,0393,0393-0,393-0, , ,878-8,8-0, ,0394,0394 h 0 s 0 0,8726 0,8726 h 0 s 0 0,0396,0395 0,395 0, , , ,227 0, ,0399, ,793 0, , , ,56 0, ,0400, ,993 0,0905 0, , ,767 0, ,0402,0398 3,93 0,0835 0,849 0, ,000 0, ,0405,0399 4,597 0,42 0, , ,542 0,453 50,040,040 52,004 0,7483 0, , ,86 0,470 60,045, ,46 0, ,8790 0, ,928 0, ,0420, ,833 0, , , ,767 0, ,0427, ,257 0,2673 0, , ,70 0, ,0434,040 93,687 0, ,9078 0, ,727 0, ,0443,043 04,26 0, ,962 0, ,844 0,270 20,0463,049 25,03 0, , , ,340 0, ,0486, ,979 0,4334 0, , ,76 0, ,054, ,979 0, ,9658 0, ,335 0,404 80,0546, ,038 0, , , ,804 0, ,058, ,65 0,5742 0, , ,570 0, ,0683, ,38 0,6809, , ,209 0, ,0800, ,020 0,77894,0609 0, ,463 0, ,0927, ,334 0,86978,0885 0, ,82 0, ,058, ,295 0,95462,363 0, ,236 0, ,9, ,98,03432,3690,00 450,508 0, ,32, ,200,0957,587, ,893, ,448, ,25,809,7762, ,295, ,569,086 65,67,24877,9543, ,627, ,684, ,808,3352,274, ,82, ,793, ,502,37543,22668, ,778, ,894, ,722,43477,24039, ,460, ,989, ,432,4975,25298, ,799, ,2077,48 947,599,54655,26454, ,74, ,259, ,92,59933,2757, ,238, ,2235, ,8,65024,28496,7 06,244, ,2306,305 30,536,69940,29398,257 25,72, ,2372,355 92,232,74693,30230,339 90,63, ,2433, ,246,79293,30999,48 255,94, ,2490,448 36,553,83750,37,492 32,62, ,2543, ,36,88072,32370, ,643, ,2592,536 44,974,92267,32983, ,983, ,2638, ,05,96342,33552, ,68, ,2682,67 568,352 2,00303,3408, ,528, ,2722,656 63,863 2,0457,34576,89 654,694 2, ,2760, ,57 2,07908,35038, ,099 2, ,2796, ,464 2,563,35470, ,727 2, ,2830, ,532 2,527,35876, ,564 2, ,2862, ,764 2,8602,36257, ,599 2, ,2893,83 952,52 2,2995,3666, ,88 2, ,292, ,688 2,25308,36955, ,22 2,22475 h h c c d s = s + d c

11 ab. 3-4 Fluide im Idealgaszustand Werte nach VDI-Richtlinie 4670 C Argn Ar Nen Ne c c h c h s s c -70 0, , ,423-0,5406,030,030-72,04-0, , , ,07-0,0520,030,030-5,503-0, , , ,83-0,082389,030,030-4,202-0, , , ,60-0,060537,030,030-30,902-0, , , ,407-0,039565,030,030-20,60-0, , , ,203-0,09407,030,030-0,30-0, , ,52033 h 0 s 0,030,030 h 0 s 0 0 0, , ,203 0,08709,030,030 0,30 0, , , ,407 0,036768,030,030 20,60 0, , , ,008 0,045568,030,030 25,75 0, , , ,60 0,054222,030,030 30,902 0, , , ,83 0,0709,030,030 4,202 0, , , ,07 0,087465,030,030 5,503 0, , , ,220 0,0332,030,030 6,803 0, , , ,423 0,87,030,030 72,04 0, , , ,626 0,3366,030,030 82,404 0, , , ,830 0,489,030,030 92,705 0, , , ,033 0,6232,030,030 03,0 0, , , ,440 0,8949,030,030 23,6 0, , , ,846 0,253,030,030 44,2 0, , , ,253 0,2399,030,030 64,8 0, , , ,660 0,26339,030,030 85,4 0, , , ,066 0,28587,030, ,0 0, , , ,083 0,3384,030, ,5 0, , , ,099 0,38563,030, ,02 0, , , ,6 0,4295,030, ,52 0, , , ,32 0,4693,030,030 42,02 0, , , ,49 0,50659,030, ,52, , , ,65 0,5438,030,030 55,03, , , ,82 0,57399,030, ,53, , , ,99 0,60467,030,030 68,03, , , ,25 0,63364,030, ,54, , , ,232 0,6609,030,030 72,04, , , ,248 0,6876,030, ,54, , , ,265 0,799,030, ,04, , , ,28 0,73568,030, ,55, , , ,298 0,75834,030, ,05, , , ,34 0,78006,030, ,55, , , ,33 0,8009,030, ,05, , , ,347 0,82095,030,030 08,56, , , ,364 0,84025,030,030 33,06, , , ,38 0,85886,030,030 84,56, , , ,397 0,87683,030, ,06, , , ,44 0,89420,030, ,57, , , ,430 0,900,030, ,07, , , ,447 0,92728,030, ,57, , , ,463 0,94307,030, ,08, , , ,480 0,95839,030, ,58, , , ,496 0,97327,030, ,08, , , ,53 0,98774,030, ,58, , , ,529,0082,030, ,09, , , ,546,0553,030, ,59 2, , , ,563,02888,030,030 75,09 2,0368 h h c d c c s = s + d

12 ab. 3-5 Fluide im Idealgaszustand Werte S 2 nach VDI-Richtlinie 4670, Werte N nach ASME C Schwefeldixid S 2 c s c h Stickstffxid N -70 0, , ,203-0,7400,036, ,334-0, , , ,705-0,2002,0080, ,9-0, , , ,874-0,09446,0054,003-40,052-0, ,5932 0, ,988-0,06974,0032, ,00-0, , , ,047-0,04580,00 0, ,988-0, , ,6053-6,05-0, ,9994 0, ,986-0, ,6079 0,6079 h 0 s 0 0,9979 0,99786 h 0 s 0 0 0,6349 0,6070 6,07 0,0296 0,9966 0, ,972 0, ,6908 0,6349 2,270 0, ,9956 0, ,933 0, ,6288 0,6489 5,372 0, ,9952 0, ,90 0, , ,6629 8,489 0,0642 0,9949 0, ,885 0, , , ,764 0, ,9943 0, ,83 0, , ,6289 3,095 0,0447 0,9940 0, ,773 0, ,6450 0, ,482 0,2394 0,9940 0, ,73 0, , , ,924 0,4299 0,994 0, ,653 0, , , ,423 0,666 0,9944 0, ,595 0, , , ,976 0,7996 0,9950 0, ,542 0, , , ,584 0,979 0,9957 0, ,495 0, , , ,962 0, ,9976 0, ,43 0, , , ,55 0,26654,000 0, ,40 0, , , ,346 0,2994,003 0, ,43 0, , , ,338 0,33072,0066 0, ,53 0, ,7377 0, ,520 0,3635,005 0, ,70 0, , , ,760 0,4344,026, ,49 0, , , ,09 0,5024,034, ,88 0, ,7744 0, ,78 0,56597,0472,09 353,92 0, , , ,28 0,62608,0605, ,6 0, , , ,772 0,68288,0735, ,96 0, ,8056 0, ,022 0,73670,0859, ,95, , , ,805 0,7878,0975, ,53, , , ,056 0,83646,084, ,68, ,837 0, ,72 0,88286,84, ,36, ,8440 0, ,753 0,92720,279, ,52, ,8506 0, ,0 0,96964,368, ,4, , , ,758,0034,449, ,8, ,8606 0, ,667,04942,523, ,62, , , ,80,08700,592, ,4, ,869 0, ,67,239,655, ,52, , , ,76,5808,73, ,95, ,8765 0, ,44,977,767, ,65, , , ,326,22433,86, ,60, , , ,360,25582,863, ,80, , , ,529,28633,906, ,23, ,8870 0, ,824,3590,946, ,86, , , ,236,34458,983, ,68, ,8944 0, ,756,37244,208, ,68, , , ,378,39952,205, ,86, , ,873 85,094,42585,2082,530 67,9, , , ,899,4548,20, ,67 2, , , ,787,47645,238, ,29 2, ,900 0, ,755,50078,263, ,04 2, ,9056 0, ,797,5245,287, ,92 2, , , ,90,54767,220, ,92 2,499 h h c c d s = s + d c c s c h

13 ab. 3-6 Fluide im Idealgaszustand Werte Methan nach IUPAC, Werte Ethan nach Bücker (2003) C Methan CH 4 Ethan C 2 H 6 c c h c h s s c -70 2,0907 2,246-48,72-0,62845,46,526-06,828-0, ,053 2,355-06,77-0,435,4750, ,927-0, ,5 2,48-85,67-0,3390,5068, ,020-0, ,269 2,488-64,46-0,24995,5400, ,787-0, ,405 2,565-43,3-0,6396,5746,608-32,25-0, ,56 2,647-2,65-0,08074,606,6290-6,290-0, ,737 2,737 h 0 s 0,6477,6477 h 0 s 0 0 2,932 2,833 2,83 0,07850,6860,6667 6,667 0, ,245 2,935 43,87 0,5498,7252,686 33,722 0,9 25 2,2258 2,988 54,97 0,9253,745, ,398 0, ,2376 2, ,3 0,22964,7653,7058 5,74 0, ,2624 2,257 88,63 0,30266,806, ,030 0, ,2887 2,2276,38 0,3748,8476, ,298 0, ,365 2,240 34,4 0,44435,8895, ,983 0, ,3457 2,253 57,72 0,5329,939, ,090 0, ,3760 2,2665 8,32 0,580,9746, ,623 0, ,4075 2, ,24 0, ,075, ,584 0, ,4400 2, ,48 0,7372 2,0606, ,974 0, ,5074 2, ,95 0, ,466, ,046 0, ,5776 2, ,79 0, ,2324, ,837 0, ,6499 2, ,06, ,372,977 36,335 0, ,7235 2,42 435,80,2377 2,4009 2, ,59, ,798 2,455 49,0, ,4832 2,068 42,363, ,9860 2, ,6, ,689 2,66 54,535, ,730 2, ,60, ,8695 2, ,365, ,3563 2, ,85 2,7732 3,0460 2, ,297, ,5345 2,829 25,4 2,4439 3,220 2, ,792 2, ,7068 2, ,20 2, ,368 2,554 49,336 2, ,8726 2, ,7 2, ,548 2, ,447 2, ,036 3, ,34 3, ,6527 2, ,670 2, ,836 3, ,75 3, ,782 2,80 686,574 3, ,3287 3,2486 2,59 3, ,9036 2, ,75 3, ,4668 3, ,5 3,9472 4,076 2, ,82 3, ,598 3, ,6 4,48 4,243 3, ,388 3, ,7226 3, ,20 4,3647 4,2242 3,4 2489,29 3, ,8406 3, ,3 4,5892 4,377 3, ,704 4, ,9522 3, ,5 4,7959 4,4052 3, ,80 4, ,0579 3, ,43 5, ,4869 3, ,25 4, ,578 3, ,84 5, ,5633 3, ,40 4, ,2522 3, , 5, ,6347 3, ,37 4, ,344 3, ,98 5, ,705 3, ,794 4, ,4257 3, ,7 5, ,7639 3, ,445 5, ,5055 4, ,47 5, ,8223 3, ,5 5, ,5809 4, ,65 6,7202 4,8769 3, ,609 5, ,6523 4, ,50 6, ,9280 3, ,746 5, ,7200 4, ,82 6,5336 4,9760 3, ,359 5, ,784 4, ,44 6, ,0209 3, ,29 5, ,8449 4, ,7 6, ,0630 3, ,399 6, ,9027 4, ,88 7,045 5,025 3, ,548 6, ,9576 4, ,40 7,2002 5,397 3, ,63 6, ,0099 4, ,60 7,3792 5,746 3, ,479 6, ,0598 4, ,35 7, ,2075 3, ,039 6, ,073 4, ,54 7, ,2384 4, ,93 6,75864 h h c c d s = s + d c

14 ab. 3-7 Fluide im Idealgaszustand Werte H 2 nach Leachman et al. (2009), Werte He nach GERG 2008 C Wasserstff H 2 Helium He c c h c h s s c -70 3,574 3, ,2-4,203 5,93 5,93-363,52 -, ,83 4, ,24-2,8342 5,93 5,93-259,66 -, ,9 4, ,6-2,2265 5,93 5,93-207,73-0, ,997 4, ,07 -,6405 5,93 5,93-55,80-0, ,072 4, ,7 -,0748 5,93 5,93-03,86-0, ,37 4,662-4,66-0,5283 5,93 5,93-5,93-0, ,94 4,9370 h 0 s 0 5,93 5,93 h 0 s 0 0 4,242 4, ,9 0,52 5,93 5,93 5,93 0, ,284 4, ,83,0063 5,93 5,93 03,86 0, ,303 4, ,30,2480 5,93 5,93 29,83 0, ,320 4, ,86,486 5,93 5,93 55,80 0, ,35 4, ,22,953 5,93 5,93 207,73 0, ,377 4, ,86 2,4029 5,93 5,93 259,66 0, ,399 4, ,74 2,844 5,93 5,93 3,59, ,47 4, ,82 3,2675 5,93 5,93 363,52, ,433 4, ,08 3,688 5,93 5,93 45,45, ,446 4, ,47 4,0850 5,93 5,93 467,39, ,457 4, ,98 4,4776 5,93 5,93 59,32, ,473 4, ,29 5,2328 5,93 5,93 623,8, ,485 4, ,88 5,953 5,93 5,93 727,05 2, ,493 4, ,66 6,6362 5,93 5,93 830,9 2, ,499 4, ,58 7,2906 5,93 5,93 934,77 2, ,505 4, ,62 7,969 5,93 5,93 038,64 2, ,58 4, ,9 9,3747 5,93 5,93 298,30 3, ,536 4, ,53 0,7006 5,93 5,93 557,95 3, ,56 4, ,92,974 5,93 5,93 87,6 4, ,593 4, ,72 3,0424 5,93 5, ,27 4, ,633 4, ,33 4,0893 5,93 5, ,93 5, ,680 4, ,2 5,069 5,93 5, ,59 5, ,736 4, ,49 5,9907 5,93 5, ,25 5, ,799 4, ,83 6,865 5,93 5,93 35,9 6, ,869 4, ,50 7,6875 5,93 5, ,57 6, ,947 4, ,88 8,4738 5,93 5, ,23 6, ,03 4, ,3 9,2247 5,93 5, ,89 6, ,2 4, ,09 9,9440 5,93 5,93 454,54 7, ,26 4, ,50 20,6347 5,93 5,93 444,20 7, ,36 4,73 324,78 2,2996 5,93 5, ,86 7, ,49 4, ,4 2,940 5,93 5, ,52 7, ,525 4, ,73 22,5608 5,93 5,93 593,8 7, ,633 4, ,69 23,60 5,93 5, ,84 8, ,743 4, ,09 23,7429 5,93 5,93 572,50 8, ,854 4, ,0 24,3079 5,93 5, ,6 8, ,964 4, ,45 24,8572 5,93 5,93 623,82 8, ,075 4, ,43 25,399 5,93 5,93 649,48 8, ,84 5, ,90 25,928 5,93 5,93 675,4 9, ,293 5, ,82 26,4209 5,93 5,93 700,79 9, ,399 5, ,2 26,968 5,93 5, ,45 9, ,504 5, ,73 27,403 5,93 5, , 9, ,607 5, ,53 27,8748 5,93 5, ,77 9, ,708 5, ,44 28,338 5,93 5, ,43 9, ,807 5, ,33 28,794 5,93 5, ,09 9, ,903 5, ,08 29,2354 5,93 5, ,75 0, ,996 5, ,56 29,6705 5,93 5, ,4 0,2688 h h c c d s = s + d c

15 ab. 4 Stffwerte vn Wasserflüssigkeit (inkmressibel) Werte auf Siedelinie nach IAPWS-IF97 c c h s v Pr C 3 kgm kjkg kjkg kjkg kjkg Wm kgm s 2 m s ,79 4,299 4,299 h 0 s 0-0, ,97 792,0,7923 3, ,89 4,234 4,958 8,396 0, , ,7 673,7,6739 2, ,93 4,2078 4,2032 6,83 0,060 0, ,26 567,4,5676, ,89 4,203 4, ,224 0, , ,25 47,6,478 0, ,80 4,992 4, ,626 0,233 0, ,3 384,8,385 0, ,65 4,958 4,202 42,02 0,509 0, ,92 306,0,3064 9, ,45 4,930 4, ,40 0,806 0, ,6 234,,2348 8, ,20 4,905 4,995 58,794 0, , ,2 68,4,693 8, ,90 4,884 4,983 67,73 0, , ,72 08,,094 7, ,55 4,866 4,97 75,548 0, , ,4 052,7,0542 7, ,6 4,85 4,960 83,920 0, , ,47 00,6,0035 6, ,73 4,838 4,950 92,289 0, , ,73 954,42 0, , ,25 4,827 4,940 00,66 0, , ,90 90,70 0,9320 6, ,00 4,822 4,935 04,84 0, , ,46 890,04 0,8927 6, ,74 4,87 4,93 09,02 0,3826 0, ,00 870,2 0, , ,9 4,809 4,923 7,38 0,4092 0, ,0 832,38 0, , ,6 4,803 4,95 25,75 0, , ,95 797,22 0, , ,99 4,798 4,908 34, 0, , ,82 764,4 0, , ,34 4,794 4,902 42,47 0,4958 0, ,6 733,72 0, , ,65 4,79 4,896 50,82 0,587 0, ,33 704,99 0, , ,93 4,789 4,890 59,8 0, , ,98 678,03 0, , ,8 4,788 4,885 67,54 0, , ,56 652,72 0, , ,40 4,788 4,88 75,90 0, , ,08 628,9 0, , ,60 4,789 4,877 84,26 0, , ,52 606,48 0,6224 4, ,76 4,79 4,873 92,62 0,6574 0, ,90 585,34 0,5939 3, ,90 4,794 4, ,98 0, , ,2 565,37 0,5772 3, ,0 4,798 4, ,34 0, , ,46 546,50 0,5534 3, ,67 4,8 4, ,24 0, , ,8 503,6 0,5093 3, ,8 4,829 4,859 25,5 0,8322 0, ,76 466,02 0, , ,53 4,853 4, ,08 0, , ,35 432,89 0,4449 2, ,75 4,882 4, ,02 0, , ,57 403,54 0,4272 2, ,83 4,97 4,863 33,97,056 0, ,44 377,4 0,3875 2, ,78 4,956 4, ,95,0754 0, ,96 354,04 0, , ,60 4,200 4, ,95,344 0, ,5 333,07 0, , ,30 4,205 4, ,97,927 0, ,00 34,7 0,32546, ,89 4,206 4, ,02,2502 0, ,54 297,09 0,30886, ,35 4,266 4,90 49,0,3070 0, ,76 28,59 0,29382, ,95 4,2304 4,942 46,36,487 0, ,28 254,6 0,26775, , 4,2464 4, ,78,5278 0, ,6 232,03 0,24603, ,83 4,2648 4, ,39,6346 0, ,80 22,94 0,22778, ,3 4,2860 4, ,20,7393 0, ,87 96,64 0,2233, ,0 4,303 4, ,25,8420, ,86 82,6 0,994, ,45 4,3379 4, ,57,9428, ,80 70,43 0,878, ,45 4,3695 4, ,2 2,049, ,7 59,78 0,7803, ,0 4,4056 4, ,9 2,395, ,60 50,38 0,6954 0, ,08 4,4468 4, ,57 2,2358, ,49 42,05 0,624 0, ,67 4,4940 4, ,39 2,3308, ,38 34,59 0,5565 0,975 h h c d c c s = s + d kinematische Visksität

16 ab. 5 Stffwerte vn Luft (trcken) als reales Fluid bei = 0,0325 MPa Werte nach Lemmn et al. (2000, 2004) r c c h v l h n Pr C kgm kjkg W m kjkg kjkg kgm s 2 m s - -30,4530,0058, ,74 4,336 2,80 5,670 0,785 0, ,4236,0058, ,45 4, ,78 5,934,93 0, ,3953,0058, ,6 3, ,543 6,95,607 0, ,3682,0058,0058-5,088 3, ,905 6,454 2,026 0, ,342,0058,0059-0,059 3,855 23,265 6,7 2,452 0, ,370,0059,0059-5,029 3, ,623 6,967 2,883 0, ,2928,0059,0059 h 0,000 3, ,979 7,220 3,320 0, ,2694,0060,0060 5,030 3, ,332 7,472 3,763 0, ,2470,006,0060 0,060 3, ,683 7,722 4,22 0, ,2252,0062,006 5,09 3, ,032 7,970 4,666 0, ,2043,0064,006 20,23 3, ,379 8,26 5,26 0, ,840,0065, ,55 3, ,724 8,46 5,59 0, ,645,0067, ,88 3, ,068 8,704 6,062 0, ,455,0069, ,222 3, ,409 8,945 6,539 0, ,272,0072, ,257 3, ,749 9,85 7,020 0, ,094,0074, ,294 3,504 27,087 9,423 7,507 0, ,0922,0077, ,33 3,007 27,423 9,660 8,000 0, ,0594,0083, ,4 3, ,092 20,29 9,000 0, ,0284,0089,007 70,497 2, ,754 20,592 20,022 0, ,99928,0097, ,590 2,836 29,4 2,049 2,064 0, ,9772,005, ,69 2, ,064 2,50 22,26 0, ,94565,05, ,80 2, ,7 2,947 23,209 0, ,92093,025,0084 0,92 2,6302 3,354 22,388 24,30 0, ,89748,036,0088 2,05 2, ,994 22,825 25,432 0, ,87520,048,0092 3,93 2, ,629 23,256 26,572 0, ,85400,060,0096 4,347 2, ,262 23,683 27,732 0, ,83380,074,00 5,54 2, ,89 24,05 28,90 0, ,8453,088,006 6,694 2, ,57 24,523 30,07 0, ,7964,0203,0 7,890 2, ,4 24,937 3,322 0, ,77856,029,07 82,00 2, ,762 25,346 32,555 0, ,7674,0235,022 92,327 2, ,38 25,752 33,807 0, ,74563,0252, ,57 2,453 36,998 26,53 35,075 0, ,67434,0347, ,062, ,055 28,07 4,680 0, ,6550,0454, ,058, ,074 29,977 48,703 0, ,566,0568, ,6, ,059 3,774 56,27 0, ,52406,0688,0294 4,750, ,0 33,507 63,937 0, ,48783,0808, ,489, ,928 35,82 72,20 0, ,45629,0927, ,827, ,806 36,806 80,665 0, ,42857,043, ,752, ,645 38,384 89,562 0, ,40404,54, ,246, ,44 39,920 98,802 0, ,3826,260, ,284, ,92 4,47 08,378 0, ,36253,36, ,839, ,900 42,880 8,282 0, ,3448,456, ,884 0, ,562 44,3 28,508 0, ,32875,545, ,390 0, ,80 45,73 39,052 0, ,342,629, ,328 0, ,756 47,089 49,907 0, ,30073,708, ,67 0, ,289 48,439 6,070 0, ,28844,78, ,395 0, ,783 49,767 72,535 0, ,2772,850,095 09,475 0, ,238 5,073 84,30 0,74499 h h c d c kinematische Visksität

17 ab. 6 Sezifisches Vlumen vn Luft (trcken) als reales Fluid Werte nach Lemmn et al. (2000) v in m 3 kg C 0, 0,5,5 2 2,5 3 3,5 4 4, , ,3888 0, , , , , ,0928 0,0680 0,0487 0, ,7269 0,4473 0, , , , , , ,0762 0,056 0, , ,5057 0, , , , , ,022 0,0843 0,0634 0, , ,5640 0, ,0585 0, , , , ,0923 0,0707 0, ,7989 0,593 0, , , ,0358 0, , ,0963 0,0743 0, ,8259 0,6222 0, , ,0403 0,0329 0, , , ,0778 0, , ,653 0,0824 0, ,0406 0, , , , ,084 0, ,8437 0,6803 0, , ,0482 0,0334 0,0278 0,0238 0, ,0849 0, , ,7094 0, , , , , , ,022 0,0884 0, ,8705 0,7384 0, ,0578 0, , , , ,0260 0,099 0, , ,7675 0, , , , , ,0254 0,0299 0,0954 0, , ,7965 0, , ,0448 0, , , , ,0989 0, ,933 0,8255 0,092 0, , , , , , , , , ,8545 0, ,0676 0,0463 0, , , ,0235 0, , , ,924 0, , , , ,0387 0, , ,0227 0, , ,9704 0, , , , , ,0289 0, ,0296 0, ,0398 0, ,044 0, , , , , , , , , ,2086 0,0435 0,0696 0, ,0482 0, , , , ,020 00,0749 0,2439 0,0727 0,0756 0,0537 0,0430 0, , , , , ,2899 0, ,308 0, , , , , , , , ,8648 0, ,889 0, , , , ,0349 0, , , , , ,2469 0, , , ,048 0, ,0345 0, , ,3044 0, ,3048 0,0872 0, , , , , , , ,3589 0,2722 0,3627 0,0900 0, , , , , , , , , ,5073 0,0066 0, , ,0506 0, ,0380 0, , , , ,656 0,03 0, , , , ,0476 0,0379 0, , , ,7958 0,994 0,0903 0, ,0603 0,0580 0,0454 0, , , , ,9399 0,2956 0, , ,0655 0, , , , , ,460 0, ,398 0,0457 0,0838 0, , , ,0469 0, , , , ,4878 0,79 0, , , , ,0504 0, , , ,2376 0,5838 0,899 0, ,0796 0, , , , ,5078 0, ,2554 0,6798 0,2620 0,03 0, , , , , ,6539 0, , ,7757 0,3340 0,0689 0, , ,0674 0, , , , , ,876 0,4059 0,265 0, , , , , , , , ,9675 0,4779 0,84 0, , , ,0669 0, ,082 0,675 0, , ,5498 0,247 0,0363 0, , , , , , , ,259 0,627 0,2992 0,0842 0, ,0855 0, , , , , , ,6936 0,3567 0,322 0,0978 0,0855 0, , ,5282 0, ,3524 0, ,7654 0,443 0,80 0,029 0, , , , , , , ,8373 0,478 0,228 0,0540 0, ,0829 0, , , , , ,909 0,5293 0,2760 0,095 0, , , , , , ,2638 0,980 0,5867 0,3239 0,362 0, , , , ,8820 0, , , ,6442 0,378 0,772 0,033 0,0978 0, , ,8469 0, , ,2246 0,707 0,497 0,283 0,0673 0, , ,3742 0, ,4383 0, ,2965 0,759 0,4676 0,2594 0,032 0,0987 0, ,5777 0, , ,302 0, ,866 0,555 0,3004 0,39 0,037 0, ,6633 0, , ,368 0,2340 0,874 0,5634 0,345 0,750 0,0456 0, , ,9677 0,4838 0,3225 0,249 0,935 0,63 0,3825 0,209 0,0775 0, , , , , , ,9890 0,659 0,4235 0,2469 0,094 0, ,0920,0920 0,500 0, , , ,7070 0,4646 0,2828 0,44 0, ,23557,0479 0, , , ,2038 0,7549 0,5056 0,387 0,733 0, ,3794, , , ,2699 0,263 0,8027 0,5467 0,3546 0,2052 0, ,52270,0534 0,5537 0,3692 0, ,2287 0,8506 0,5877 0,3905 0,237 0, ,66625,3405 0, , , , ,8985 0,6287 0,4264 0,2690 0,43 MPa

18 ab. 7 Sezifische isbare Wärmekaazität vn Luft (trcken) als reales Fluid Werte nach Lemmn et al. (2000) c in C 0, 0,5,5 2 2,5 3 3,5 4 4,5 5-30,0058,064,0300,0440,0582,0727,0876,026,79,334,490-20,0057,054,0276,040,0527,0656,0787,099,053,88,325-0,0058,045,0256,0368,0482,0597,073,083,0949,068,88 0,0059,039,0239,034,0443,0547,065,0756,0862,0968,075 5,0060,036,0232,0329,0426,0525,0624,0724,0824,0925,025 0,006,034,0225,038,04,0505,0599,0694,0789,0884,0980 5,0062,032,0220,0308,0397,0486,0576,0666,0757,0847, ,0064,030,025,0299,0384,0469,0555,064,0727,083, ,0065,029,020,029,0372,0454,0536,068,0700,0782, ,0067,029,0206,0284,0362,0440,058,0596,0674,0752, ,0069,028,0203,0277,0352,0427,050,0576,065,0726, ,007,028,0200,027,0343,045,0486,0558,0630,070, ,0074,029,097,0266,0335,0404,0473,054,060,0678, ,0077,029,096,0262,0328,0394,0460,0526,059,0657, ,0082,032,093,0254,036,0377,0438,0499,0559,069, ,0089,035,092,0249,0306,0363,049,0476,0532,0588, ,0097,040,093,0246,0299,0352,0405,0457,0509,056,062 90,005,045,095,0245,0295,0344,0393,0442,0490,0538, ,05,052,099,0246,0292,0338,0384,0429,0475,059, ,036,069,020,0252,0292,0333,0373,043,0453,0492,053 40,060,090,0227,0263,0300,0336,037,0407,0442,0477,05 60,088,024,0247,0280,033,0345,0377,0408,0440,047,050 80,028,0242,0272,0302,033,0360,0388,047,0445,0473, ,0252,0274,030,0327,0354,0380,0405,043,0456,0482, ,0347,0364,0385,0406,0427,0448,0468,0488,0508,0528, ,0454,0467,0485,0502,059,0535,0552,0568,0584,0600, ,0568,0580,0594,0608,0622,0636,0649,0663,0676,0689, ,0688,0697,0709,072,0732,0744,0755,0767,0778,0789, ,0808,086,0826,0836,0846,0856,0865,0875,0884,0894, ,0927,0934,0942,095,0959,0968,0976,0984,0992,000, ,043,049,056,063,07,078,085,092,099,06,3 600,54,59,66,72,78,85,9,97,203,209,25 650,260,265,270,276,282,287,292,298,303,308,34 700,36,365,370,375,380,385,389,394,399,403, ,456,459,464,468,473,477,48,485,489,494, ,545,548,552,556,560,564,568,57,575,579, ,629,632,635,639,642,646,649,652,656,659, ,708,70,73,76,79,722,725,728,73,734, ,78,783,786,789,792,794,797,800,803,805, ,850,852,855,857,860,862,865,867,869,872, ,95,96,99,92,923,926,928,930,932,934,937 00,975,977,979,98,983,985,987,989,99,993,995 50,2032,2034,2035,2037,2039,204,2043,2045,2047,2048, ,2086,2087,2089,2090,2092,2094,2096,2097,2099,20, ,236,237,239,24,242,244,245,247,248,250,25 300,284,285,286,288,289,29,292,293,295,296, ,2229,2230,223,2233,2234,2235,2236,2238,2239,2240, ,227,2272,2274,2275,2276,2277,2279,2280,228,2282, ,232,233,234,235,236,237,238,2320,232,2322, ,2350,235,2352,2353,2354,2355,2356,2358,2359,2360, ,2387,2388,2389,2390,239,2392,2393,2394,2395,2396, ,2422,2423,2424,2425,2426,2426,2427,2428,2429,2430, ,2456,2456,2457,2458,2459,2460,2460,246,2462,2463, ,2488,2488,2489,2490,249,249,2492,2493,2494,2494,2495 MPa

19 ab. 8 Sezifische Enthalie vn Luft (trcken) als reales Fluid Werte nach Lemmn et al. (2000) h in MPa C 0, 0,5,5 2 2,5 3 3,5 4 4, ,70-3,539-33,247-34,952-36,653-38,350-40,04-4,727-43,406-45,077-46, ,2-2,380-22,960-24,533-26,099-27,659-29,2-30,756-32,292-33,88-35, ,055 -,23-2,694-4,49-5,596-7,034-8,463-9,882-2,292-22,69-24, ,004 -,089-2,447-3,795-5,34-6,462-7,78-9,090-0,388 -,674-2, ,033 3,979 2,67,372 0,084 -,95-2,463-3,720-4,966-6,20-7, ,063 9,047 7,785 6,534 5,293 4,063 2,843,634 0,437-0,749 -, ,094 4,3 2,896,690 0,495 9,3 8,37 6,974 5,823 4,683 3, ,26 9,79 8,005 6,842 5,690 4,549 3,420 2,30,94 0,098 9, ,58 24,243 23, 2,989 20,879 9,780 8,692 7,66 6,55 5,497 4, ,9 29,308 28,25 27,33 26,063 25,004 23,956 22,99 2,894 20,880 9, ,225 34,372 33,37 32,273 3,24 30,220 29,2 28,22 27,225 26,250 25, ,260 39,437 38,48 37,40 36,45 35,430 34,457 33,496 32,545 3,606 30, ,296 44,50 43,57 42,545 4,584 40,635 39,697 38,770 37,855 36,95 36, ,334 49,565 48,65 47,677 46,750 45,834 44,930 44,037 43,55 42,285 4, ,43 59,696 58,809 57,935 57,07 56,29 55,379 54,549 53,730 52,922 52, ,499 69,829 69,002 68,86 67,382 66,589 65,807 65,036 64,275 63,525 62, ,592 79,966 79,95 78,434 77,685 76,946 76,29 75,502 74,795 74,099 73, ,693 90,09 89,389 88,680 87,982 87,294 86,67 85,95 85,294 84,648 84, ,80 00,26 99,586 98,925 98,275 97,635 97,005 96,386 95,776 95,77 94, ,05 20,58 9,99 9,42 8,86 8,30 7,76 7,23 6,70 6,9 5, ,35 40,94 40,43 39,94 39,45 38,97 38,50 38,05 37,60 37,5 36, ,70 6,34 60,90 60,48 60,06 59,65 59,25 58,86 58,48 58,0 57, ,0 8,80 8,42 8,06 80,70 80,35 80,0 79,68 79,36 79,04 78, ,57 202,3 202,00 20,69 20,39 20,09 200,8 200,53 200,26 99,99 99, ,06 253,90 253,70 253,5 253,33 253,5 252,98 252,82 252,66 252,5 252, ,06 305,97 305,87 305,78 305,69 305,60 305,52 305,45 305,38 305,32 305, ,6 358,59 358,57 358,55 358,53 358,53 358,52 358,52 358,53 358,54 358, ,75 4,78 4,82 4,87 4,92 4,97 42,03 42,0 42,6 42,23 42, ,49 465,56 465,66 465,76 465,86 465,97 466,08 466,20 466,32 466,44 466, ,83 59,94 520,08 520,23 520,38 520,53 520,69 520,84 52,0 52,7 52, ,75 574,90 575,08 575,26 575,45 575,64 575,84 576,03 576,23 576,44 576, ,25 630,42 630,63 630,85 63,08 63,30 63,53 63,76 63,99 632,22 632, ,28 686,48 686,73 686,98 687,23 687,48 687,74 688,00 688,26 688,52 688, ,84 743,06 743,33 743,6 743,88 744,6 744,45 744,73 745,0 745,30 745, ,88 800,2 800,42 800,72 80,02 80,32 80,62 80,93 802,24 802,55 802, ,39 857,64 857,96 858,28 858,60 858,92 859,25 859,57 859,90 860,23 860, ,33 95,59 95,93 96,27 96,6 96,95 97,29 97,63 97,98 98,33 98, ,67 973,95 974,30 974,66 975,0 975,37 975,73 976,09 976,45 976,8 977, ,4 032,7 033, 033,4 033,8 034,2 034,5 034,9 035,3 035,7 036, ,5 09,8 092,2 092,5 092,9 093,3 093,7 094, 094,5 094,9 095, ,9 5,2 5,6 52,0 52,4 52,8 53,2 53,6 54,0 54,4 54, ,6 20,9 2,3 2,7 22, 22,6 23,0 23,4 23,8 24,2 24, ,6 27,0 27,4 27,8 272,2 272,6 273,0 273,5 273,9 274,3 274, ,9 33,3 33,7 332, 332,5 333,0 333,4 333,8 334,2 334,7 335, ,5 39,8 392,3 392,7 393, 393,6 394,0 394,4 394,9 395,3 395, ,3 452,6 453, 453,5 454,0 454,4 454,8 455,3 455,7 456,2 456, ,3 53,7 54, 54,6 55,0 55,5 55,9 56,4 56,8 57,3 57, ,6 574,9 575,4 575,8 576,3 576,7 577,2 577,7 578, 578,6 579, ,0 636,4 636,9 637,3 637,8 638,2 638,7 639,2 639,6 640, 640, ,7 698, 698,5 699,0 699,4 699,9 700,4 700,8 70,3 70,8 702, ,5 759,9 760,4 760,8 76,3 76,8 762,3 762,7 763,2 763,7 764, ,6 82,9 822,4 822,9 823,4 823,8 824,3 824,8 825,3 825,7 826, ,7 884, 884,6 885, 885,6 886,0 886,5 887,0 887,5 888,0 888, , 946,5 947,0 947,5 947,9 948,4 948,9 949,4 949,9 950,4 950,8

20 ab. 9 Sezifische Entrie vn Luft (trcken) als reales Fluid s in Werte nach Lemmn et al. (2000) MPa C 0, 0,5,5 2 2,5 3 3,5 4 4, ,0486-0,479-0,6224-0,7444-0,8325-0,902-0,9600 -,0098 -,0537 -,093 -, ,089-0,3770-0,580-0,7024-0,7900-0,8590-0,964-0,9656 -,0089 -,0477 -, ,28-0,3377-0,542-0,6622-0,7493-0,879-0,8747-0,9235-0,9663 -,0046 -, ,656-0,2998-0,5030-0,6235-0,703-0,7784-0,8349-0,8832-0,9256-0,9635-0, ,838-0,284-0,4844-0,6048-0,693-0,7593-0,856-0,8637-0,9060-0,9436-0, ,208-0,2634-0,4662-0,5864-0,6728-0,7406-0,7967-0,8447-0,8867-0,9242-0, ,294-0,2456-0,4483-0,5684-0,6546-0,7222-0,7782-0,8260-0,8678-0,9052-0, ,2367-0,2282-0,4307-0,5506-0,6367-0,7042-0,7600-0,8076-0,8494-0,8865-0, ,2537-0,2-0,435-0,5332-0,69-0,6865-0,742-0,7897-0,832-0,8683-0, ,2704-0,942-0,3965-0,56-0,609-0,669-0,7246-0,7720-0,835-0,8504-0, ,2869-0,777-0,3798-0,4993-0,5850-0,652-0,7074-0,7547-0,7960-0,8328-0, ,303-0,64-0,3634-0,4828-0,5683-0,6353-0,6905-0,7377-0,7789-0,856-0, ,39-0,453-0,3472-0,4665-0,559-0,688-0,6739-0,720-0,762-0,7986-0, ,3348-0,295-0,333-0,4505-0,5358-0,6026-0,6576-0,7046-0,7456-0,7820-0, ,3655-0,0987-0,3002-0,492-0,5044-0,5709-0,6258-0,6725-0,733-0,7496-0, ,3953-0,0687-0,270-0,3889-0,4739-0,5403-0,5949-0,645-0,682-0,782-0, ,4243-0,0396-0,2408-0,3595-0,4443-0,505-0,5650-0,64-0,659-0,6878-0, ,4525-0,02-0,224-0,3309-0,455-0,486-0,5360-0,5823-0,6226-0,6584-0, ,4800 0,063-0,847-0,3030-0,3876-0,4535-0,5078-0,5539-0,594-0,6298-0, ,5329 0,0694-0,34-0,2495-0,3338-0,3996-0,4536-0,4995-0,5395-0,5749-0, ,5832 0,99-0,0807-0,986-0,2827-0,3483-0,402-0,4479-0,4877-0,5229-0, ,633 0,68-0,0323-0,50-0,2340-0,2994-0,353-0,3987-0,4383-0,4734-0, ,6774 0,243 0,040-0,036-0,874-0,2527-0,3062-0,357-0,392-0,426-0, ,726 0,2586 0,0584-0,059-0,428-0,2079-0,263-0,3067-0,3460-0,3809-0, ,8250 0,3622 0,623 0,0450-0,0384-0,033-0,565-0,206-0,2408-0,2754-0, ,999 0,4573 0,2576 0,404 0,0572-0,0076-0,0606-0,055-0,445-0,790-0, ,0078 0,5453 0,3457 0,2287 0,456 0,0809 0,028-0,067-0,0556-0,0900-0, ,0899 0,6274 0,4279 0,30 0,2280 0,634 0,06 0,0659 0,0272-0,007-0, ,669 0,7044 0,5050 0,3882 0,3053 0,2408 0,88 0,435 0,048 0,0706 0, ,2395 0,777 0,5778 0,46 0,378 0,338 0,26 0,265 0,779 0,438 0,32 550,3083 0,8460 0,6467 0,5300 0,4472 0,3828 0,3302 0,2857 0,247 0,230 0, ,3738 0,95 0,722 0,5956 0,528 0,4485 0,3959 0,354 0,328 0,2788 0, ,4362 0,9739 0,7747 0,658 0,5753 0,50 0,4585 0,440 0,3755 0,345 0,3 700,4958,0336 0,8344 0,778 0,635 0,5708 0,583 0,4739 0,4354 0,404 0, ,5530,0908 0,896 0,775 0,6923 0,628 0,5756 0,532 0,4927 0,4588 0, ,6079,457 0,9465 0,8300 0,7473 0,683 0,6306 0,5862 0,5477 0,538 0, ,6606,985 0,9993 0,8828 0,800 0,7359 0,6835 0,639 0,6006 0,5667 0, ,75,2493,0502 0,9337 0,850 0,7868 0,7344 0,6900 0,656 0,677 0, ,7605,2983,0992 0,9827 0,9000 0,8359 0,7834 0,739 0,7007 0,6668 0, ,8078,3457,466,030 0,9474 0,8833 0,8308 0,7865 0,748 0,742 0, ,8536,394,924,0759 0,9932 0,929 0,8767 0,8324 0,7939 0,760 0, ,8979,4358,2367,202,0376 0,9734 0,920 0,8767 0,8383 0,8044 0,774 50,9408,4787,2796,632,0805,064 0,9640 0,997 0,883 0,8474 0,87 200,9825,5203,323,2048,222,058,0057 0,964 0,9230 0,889 0, ,0229,5608,367,2453,626,0985,046,008 0,9635 0,9296 0, ,0622,600,400,2846,209,378,0854,04,0028 0,9689 0, ,004,6382,4392,3228,240,760,237,0794,040,0072 0, ,375,6754,4764,3599,2773,232,608,66,0782,0444, ,737,76,526,396,335,2494,97,528,44,0806, ,2090,7469,5479,434,3488,2847,2323,88,497,59, ,2434,783,5823,4658,3832,39,2668,2225,84,503, ,2770,849,658,4994,468,3527,3003,256,277,839, ,3097,8476,6486,5322,4496,3855,333,2888,2505,267, ,347,8796,6806,5642,486,475,365,3209,2825,2487,284