Appunti ed Esercizi di Fisica Tecnica e Macchine Termiche

Appunti ed Esercizi di Fisica Tecnica e Macchine Termiche Appendici -5 Paolo Di Marco Versione 2009.00 30.0.09.. Equazioni di stato per i gas ideali e per i liquidi incomprimibili 2. Trasformazioni reversibili per i gas ideali con calori specifici costanti 3. Proprietà termodinamiche dei fluidi. 4. Unità di misura del Sistema Internazionale e fattori di conversione 5. Metodologia per la soluzione di problemi in termodinamica La presente dispensa è redatta ad esclusivo uso didattico per gli allievi dei corsi di studi universitari dell Università di Pisa. L autore se ne riserva tutti i diritti. Essa può essere riprodotta solo totalmente ed al fine summenzionato, non può essere alterata in alcuna maniera o essere rivenduta ad un costo superiore a quello netto della riproduzione. Ogni altra forma di uso e riproduzione deve essere autorizzata per scritto dall autore. L autore sarà grato a chiunque gli segnali errori, inesattezze o possibili miglioramenti.

APPENDICE - Equazioni di stato per i gas ideali, fluidi reali, e i liquidi incomprimibili TABELLA RIASSUNTIVA Gas ideale Fluido reale monofase Liquido incomprimibile pv = nm RT T = f( p, v) pv = M RT dv = β dt κ dp pv= RT v c R= cp cv, k= c Rk cp = = f( T) k R cv = = f( T) k p v v β = v T v κ = v p h cp = T p p T v = cost. cp = cv = c d u = c ( T) dt d u = c ( v, T) d T + B ( T, v) dv d u = c( T) dt v v d h = c ( T) dt d h = c ( p, T ) dt + B ( T, p) dp d h = c( T) dt + v dp p p u h dt dv d s = cv ( T) + R T v dt dp d s = cp( T) R T p β= T κ= p B = B = 0 u h cv Bu + p ds = dt + dv T T cp Bh v ds = dt + dp T T c v = = T 2 u Tβ v cp v T κ u βt Bu = = p v κ h Bh = = ( βt) v p T dt d s = c( T) T β =κ= 0 B = 0 B u h = v Un fluido reale è completamente caratterizzato una volta noti i coefficienti c p, β e κ. Un gas ideale è caratterizzato una volta noti due coefficienti a scelta tra c p, c v, k o R. Un liquido incomprimibile è completamente caratterizzato dai valori di c e v. NOTA Le relazioni di Gibbs d u = Tds pd v, d h = Tds+ vdp sono valide per qualunque fluido, purchè la trasformazione avvenga tra due stati di equilibrio. a-2

APPENDICE 2 - Trasformazioni reversibili per i gas ideali con calori specifici costanti: lavoro e calore scambiati (N.B.: le variazioni dei termini di energia cinetica e potenziale vengono considerate trascurabili) LAVORO DI DILATAZIONE REVERSIBILE (gas ideale) 2 2 p dv = l, rv = v2 / v, rp = p2 / p Trasformazione v 2 T 2 p 2 l 2 q 2 ISOTERMA v T p RT ln rp = q = T = cost = RT ln r POLITROPICA pv n = cost r P T v T 2 n T n r V r V n p r V 2 l2 V pv p2v n R = n RT = n 2 = ( T T ) n ( ) r V 2 = c v R n ( T T ) 2 ISOCORA v = cost v T r P T p 2 T 0 c v ( T 2 T ) LAVORO DI COMPRESSIONE/ESPANSIONE REVERSIBILE IN SISTEMI APERTI A REGIME (gas ideale) 2 l ' 2 = v dp, rv = v2 / v, rp = p2 / p n a = n k a = = k R c p per trasformazione adiabatica Trasformazione v 2 T 2 p 2 l 2 q 2 ISOTERMA v T p RT lnrp = q = T = cost = RT lnr POLITROPICA pv n = cost ISOCORA v = cost r P v n r p v a T r P T r P r V T2 p T p a 2 l2 ( pv p2v2 ) T 2 T V n n Rn = n Rn = T n v p p = = ( T T ) 2 = a ( ) r P = c p Rn n ( 2 ) c v ( T 2 T ) R ( T T ) 2 ( T T ) 2 a-3

APPENDICE 3 Proprietà termodinamiche dei fluidi. Le tabelle che seguono contengono le proprietà di alcuni fluidi, e precisamente: acqua, ammoniaca (R77), R34a e isobutano (R600a). Le tabelle sono così organizzate: dapprima le proprietà del liquido e del vapore in condizioni di saturazione sono riportate in due tabelle, rispettivamente in funzione della temperatura e della pressione. Seguono poi le tabelle del fluido a pressione costante al di fuori delle condizioni di saturazione: le proprietà (v, u, h ed s) sono espresse in funzione della temperatura, per il valore della pressione riportato in testa alla tabella. Ovviamente, il fluido si trova allo stato liquido per temperature inferiori a quella di saturazione ed allo stato di vapore surriscaldato o gas per temperature superiori a quest ultima: la transizione risulta evidente da una brusca discontinuità nel valore delle proprietà stesse. E importante ricordare che tutte le proprietà di stato sono definite a meno di una costante arbitraria: non bisogna pertanto stupirsi se alcuni diagrammi o programmi di calcolo (es. CATT) forniscono valori diversi per alcuni dei fluidi considerati: le variazioni delle proprietà tra due stati rimangono però quasi identiche in tutti i casi. Inoltre i valori delle proprietà possono anche variare leggermente da un manuale ad un altro a seconda dei diversi modelli adottati. a-4

Acqua Proprietà del liquido e del vapore saturo in funzione della temperatura Temp. Press. Vol. Spec. Vol. Spec. E.Interna E.Interna( Entalpia Entalpia Entropia Entropia (L) (V) (L) V) (L) (V) (L) (V) T [C] p [MPa] v f [m 3 /kg] v g [m 3 /kg] u f [kj/kg] u g [kj/kg] h f [kj/kg] h g [kj/kg] s f [kj/kg K] s g [kj/kg K] 0 0.00.000E-03 206.676-0.04 2375.32-0.04 250.34 0.000 9.57 5 0.00.000E-03 47.40 20.97 2382.25 20.98 250.55 0.076 9.027 0 0.00.000E-03 06.586 4.99 2389.6 4.99 259.75 0.5 8.902 5 0.002.00E-03 78.084 62.98 2396.05 62.98 2528.92 0.224 8.782 20 0.002.002E-03 57.92 83.94 2402.92 83.94 2538.07 0.297 8.668 25 0.003.003E-03 43.454 04.86 2409.77 04.87 2547.8 0.367 8.559 30 0.004.004E-03 32.966 25.77 246.59 25.77 2556.25 0.437 8.454 35 0.006.006E-03 25.273 46.66 2423.37 46.66 2565.29 0.505 8.354 40 0.007.008E-03 9.567 67.54 2430.2 67.54 2574.27 0.572 8.258 45 0.00.00E-03 5.292 88.42 2436.82 88.43 2583.20 0.639 8.66 50 0.02.02E-03 2.058 209.30 2443.48 209.3 2592.07 0.704 8.077 55 0.06.05E-03 9.588 230.9 2450.09 230.20 2600.87 0.768 7.992 60 0.020.07E-03 7.686 25.09 2456.64 25. 2609.60 0.83 7.90 65 0.025.020E-03 6.208 272.00 2463.3 272.03 268.26 0.893 7.832 70 0.03.023E-03 5.05 292.93 2469.56 292.96 2626.82 0.955 7.756 75 0.039.026E-03 4.38 33.88 2475.92 33.9 2635.30.05 7.683 80 0.047.029E-03 3.43 334.84 2482.2 334.89 2643.67.075 7.63 85 0.058.032E-03 2.832 355.82 2488.4 355.88 265.95.34 7.545 90 0.070.036E-03 2.364 376.83 2494.54 376.90 2660..92 7.480 95 0.084.040E-03.984 397.86 2500.57 397.95 2668.5.250 7.46 00 0.0.044E-03.675 48.92 2506.52 49.02 2676.07.307 7.355 05 0.2.047E-03.42 440.0 252.36 440.3 2683.85.363 7.296 0 0.43.052E-03.2 46.3 258. 46.28 269.50.48 7.239 5 0.69.056E-03.038 482.29 2523.74 482.46 2698.99.473 7.84 20 0.98.060E-03 0.893 503.48 2529.26 503.69 2706.33.528 7.30 25 0.232.065E-03 0.77 524.72 2534.66 524.97 273.50.58 7.078 30 0.270.070E-03 0.669 546.0 2539.93 546.30 2720.49.634 7.027 35 0.33.075E-03 0.583 567.34 2545.06 567.68 2727.29.687 6.978 40 0.36.080E-03 0.509 588.73 2550.05 589.2 2733.90.739 6.930 45 0.45.085E-03 0.447 60.7 2554.89 60.62 2740.30.79 6.884 50 0.475.090E-03 0.393 63.67 2559.57 632.9 2746.49.842 6.838 55 0.543.096E-03 0.347 653.23 2564.08 653.83 2752.44.892 6.794 60 0.67.02E-03 0.307 674.86 2568.42 675.54 2758.4.943 6.75 65 0.700.08E-03 0.273 696.55 2572.56 697.33 2763.59.992 6.708 70 0.79.4E-03 0.243 78.32 2576.5 79.20 2768.76 2.042 6.667 75 0.89.2E-03 0.27 740.6 2580.25 74.6 2773.65 2.09 6.626 80.00.27E-03 0.94 762.08 2583.76 763.2 2778.24 2.40 6.586 85.22.34E-03 0.74 784.09 2587.05 785.36 2782.5 2.88 6.547 90.253.4E-03 0.57 806.8 2590.08 807.6 2786.46 2.236 6.508 95.397.49E-03 0.4 828.36 2592.86 829.97 2790.05 2.283 6.470 200.552.56E-03 0.27 850.64 2595.38 852.44 2793.29 2.33 6.433 205.72.64E-03 0.5 873.03 2597.60 875.03 2796.4 2.378 6.396 20.905.73E-03 0.05 895.52 2599.54 897.75 2798.60 2.425 6.359 25 2.02.8E-03 0.095 98.3 260.6 920.6 2800.64 2.47 6.323 220 2.36.90E-03 0.086 940.86 2602.45 943.62 2802.25 2.58 6.287 225 2.546.99E-03 0.079 963.72 2603.4 966.78 2803.4 2.564 6.25 230 2.793.209E-03 0.072 986.73 2604.0 990.0 2804.0 2.60 6.25 235 3.058.29E-03 0.065 009.89 2604.23 03.6 2804.29 2.656 6.80 240 3.342.229E-03 0.060 033.20 2604.07 037.3 2803.97 2.70 6.44 245 3.646.240E-03 0.055 056.70 2603.5 06.22 2803.2 2.747 6.09 250 3.970.25E-03 0.050 080.38 2602.5 085.35 280.70 2.793 6.073 260 4.686.276E-03 0.042 28.38 2599.6 34.36 2797.08 2.884 6.002 270 5.496.302E-03 0.036 77.35 2593.82 84.50 2789.86 2.975 5.93 280 6.408.332E-03 0.030 227.45 2586.27 235.98 2779.75 3.067 5.858 290 7.433.366E-03 0.026 278.90 2576.8 289.05 2766.37 3.59 5.783 300 8.577.404E-03 0.022 33.99 2563.5 344.03 2749.9 3.253 5.705 30 9.853.447E-03 0.08 387.05 2546.60 40.3 2727.52 3.349 5.623 320.270.499E-03 0.05 444.57 2525.70 46.47 2700.36 3.448 5.537 330 2.842.56E-03 0.03 505.27 2499.6 525.3 2666.7 3.55 5.442 340 4.58.638E-03 0.0 570.3 2464.90 594.9 2622.47 3.659 5.336 350 6.506.740E-03 0.009 64.90 249.07 670.62 2564.77 3.778 5.23 360 8.640.893E-03 0.007 725.43 2352.98 760.72 2482.85 3.95 5.056 370 2.07 2.27E-03 0.005 844.87 2232.27 89.47 2336.60 4.2 4.804 a-5

Acqua Proprietà del liquido e del vapore saturo in funzione della pressione Press. Temp. Vol. Spec. Vol. Spec. E.Interna E.Interna Entalpia Entalpia Entropia Entropia (L) (V) (L) (V) (L) (V) (L) (V) p [MPa] T [C] v f [m 3 /kg] v g [m 3 /kg] u f [kj/kg] u g [kj/kg] h f [kj/kg] h g [kj/kg] s f [kj/kg K] s g [kj/kg K] 0.0006 0.0.000E-03 206.58-0.02 2375.33-0.0 250.35 0.000 9.57 0.0007.92.000E-03 8.27 8.00 2377.98 8.0 2504.87 0.029 9.07 0.0008 3.80.000E-03 59.69 5.9 2380.58 5.9 2508.33 0.058 9.058 0.000 7.0.000E-03 29.22 29.4 2385.02 29.4 254.24 0.06 8.976 0.005 3.06.00E-03 87.99 54.83 2393.37 54.83 2525.36 0.96 8.828 0.0020 7.53.00E-03 67.0 73.60 2399.54 73.6 2533.56 0.26 8.724 0.0025 2.2.002E-03 54.26 88.6 2404.45 88.62 2540.0 0.32 8.643 0.0030 24.2.003E-03 45.67 0.8 2408.57 0.8 2545.58 0.355 8.578 0.0035 26.7.003E-03 39.48 2.03 242. 2.03 2550.29 0.39 8.523 0.0040 29.00.004E-03 34.80 2.60 245.23 2.60 2554.45 0.423 8.475 0.0050 32.92.005E-03 28.20 37.96 2420.55 37.96 256.53 0.477 8.395 0.0075 40.34.008E-03 9.24 68.94 2430.57 68.94 2574.87 0.577 8.252 0.00 45.85.00E-03 4.68 9.98 2437.96 9.99 2584.72 0.650 8.50 0.05 54.02.04E-03 0.02 226.08 2448.80 226.0 2599.5 0.755 8.009 0.020 60..07E-03 7.650 25.54 2456.78 25.56 2609.79 0.832 7.909 0.030 69.5.022E-03 5.230 289.35 2468.47 289.38 2625.36 0.944 7.769 0.040 75.9.026E-03 3.994 37.68 2477.07 37.72 2636.83.026 7.670 0.050 8.37.030E-03 3.24 340.58 2483.9 340.63 2645.95.09 7.594 0.060 85.98.033E-03 2.732 359.93 2489.62 359.99 2653.55.46 7.532 0.070 89.98.036E-03 2.365 376.76 2494.52 376.83 2660.08.92 7.480 0.080 93.54.039E-03 2.087 39.7 2498.82 39.79 2665.8.233 7.435 0.090 96.74.04E-03.870 405.8 2502.65 405.28 2670.92.270 7.395 0.00 99.66.043E-03.694 47.48 2506.2 47.58 2675.53.303 7.360 0.50.40.053E-03.59 467.06 259.70 467.22 2693.6.434 7.223 0.200 20.26.06E-03 0.886 504.6 2529.55 504.82 2706.7.530 7.27 0.300 33.58.073E-03 0.606 56.27 2543.62 56.59 2725.38.672 6.992 0.400 43.67.084E-03 0.463 604.45 2553.62 604.88 2738.62.777 6.896 0.500 5.89.093E-03 0.375 639.82 256.30 640.37 2748.77.86 6.82 0.600 58.89.0E-03 0.36 670.05 2567.47 670.7 2756.90.932 6.760 0.700 65.0.08E-03 0.273 696.60 2572.57 697.38 2763.60.993 6.708 0.800 70.47.5E-03 0.240 720.39 2576.87 72.28 2769.24 2.047 6.663 0.900 75.42.2E-03 0.25 742.00 2580.55 743.0 2774.05 2.095 6.623.000 79.95.27E-03 0.94 76.86 2583.73 762.99 2778.20 2.39 6.587.200 88.03.39E-03 0.63 797.47 2588.92 798.84 2784.95 2.27 6.524.400 95.2.49E-03 0.4 828.88 2592.93 830.49 2790.3 2.285 6.469.600 20.45.59E-03 0.24 857.3 2596.05 858.98 2794.6 2.345 6.422.800 207.9.68E-03 0.0 882.88 2598.49 884.99 2797.27 2.399 6.380 2.000 22.46.77E-03 0.00 906.63 2600.37 908.99 2799.66 2.448 6.34 2.500 224.04.97E-03 0.080 959.3 2603.25 962.30 2803.22 2.555 6.258 3.000 233.94.27E-03 0.067 004.97 2604.22 008.62 2804.29 2.646 6.87 3.500 242.65.235E-03 0.057 045.6 2603.83 049.93 2803.59 2.726 6.26 4.000 250.44.252E-03 0.050 082.49 2602.40 087.50 280.55 2.797 6.070 4.500 257.52.269E-03 0.044 6.42 2600.7 22.3 2798.46 2.86 6.020 5.000 264.03.286E-03 0.039 47.98 2597.26 54.4 2794.50 2.920 5.974 5.500 270.05.302E-03 0.036 77.60 2593.79 84.77 2789.82 2.975 5.930 6.000 275.67.39E-03 0.032 205.6 2589.83 23.52 2784.5 3.027 5.889 7.000 285.9.35E-03 0.027 257.70 2580.63 267.6 2772.26 3.2 5.84 8.000 295.09.384E-03 0.024 305.72 2569.94 36.79 2758.3 3.207 5.743 9.000 303.43.48E-03 0.020 350.64 2557.9 363.40 2742.30 3.286 5.677 0.000 3.09.453E-03 0.08 393.7 2544.56 407.69 2724.86 3.360 5.64.000 38.7.489E-03 0.06 433.84 2529.90 450.2 2705.80 3.430 5.553 2.000 324.77.527E-03 0.04 473.08 253.85 49.40 2685.04 3.496 5.493 3.000 330.95.567E-03 0.03 5.26 2496.27 53.63 2662.46 3.56 5.433 4.000 336.77.6E-03 0.0 548.72 2476.99 57.28 2637.84 3.623 5.372 5.000 342.26.658E-03 0.00 585.82 2455.73 60.70 260.87 3.685 5.30 6.000 347.47.7E-03 0.009 622.94 2432. 650.32 258. 3.746 5.246 7.000 352.4.77E-03 0.008 660.58 2405.54 690.68 2547.88 3.808 5.79 8.000 357..84E-03 0.008 699.43 2375.3 732.56 250.5 3.872 5.06 9.000 36.59.926E-03 0.007 740.66 2339.3 777.26 2466.08 3.940 5.025 20.000 365.86 2.039E-03 0.006 786.59 2294.93 827.37 242.02 4.06 4.930 2.000 369.93 2.23E-03 0.005 843.67 2233.62 890.4 2338.2 4.0 4.807 22.000 373.80 2.766E-03 0.004 966.0 2094.87 2026.85 274.63 4.38 4.547 a-6

Acqua: Liquido compresso e vapore surriscaldato. H2O p = 0.0 [MPa] Tsat = 45.9 C 0.000E-03-0.04-0.03 0.000 25.003E-03 04.86 04.87 0.367 50.487E+0 2443.88 2592.57 8.75 75.603E+0 2479.62 2639.96 8.36 00.720E+0 255.5 2687.46 8.448 20.82E+0 2544.35 2725.58 8.547 50.95E+0 2587.87 2782.99 8.688 70 2.044E+0 267.09 282.47 8.777 200 2.83E+0 266.28 2879.53 8.904 250 2.44E+0 2735.96 2977.32 9.00 300 2.645E+0 282.07 3076.52 9.28 350 2.875E+0 2889.69 377.23 9.450 400 3.06E+0 2968.90 3279.52 9.608 450 3.337E+0 3049.75 3383.45 9.757 500 3.568E+0 332.27 3489.06 9.898 550 3.799E+0 326.50 3596.37 0.032 600 4.029E+0 3302.46 3705.4 0.6 650 4.260E+0 3390.7 386.20 0.284 700 4.49E+0 3479.64 3928.75 0.403 800 4.953E+0 3663.86 459.2 0.628 Appendici H2O p = 0.05 [MPa] Tsat = 8.4 C 0.000E-03-0.04 0.0 0.000 25.003E-03 04.86 04.9 0.367 50.02E-03 209.29 209.34 0.704 75.026E-03 33.87 33.92.05 00 3.48E+00 25.6 2682.53 7.695 20 3.608E+00 254.24 272.62 7.797 50 3.889E+00 2585.62 2780.08 7.940 70 4.076E+00 265.24 289.06 8.030 200 4.356E+00 2659.85 2877.65 8.58 250 4.820E+00 2734.98 2976.00 8.356 300 5.284E+00 28.33 3075.53 8.537 350 5.747E+00 2889.2 376.46 8.706 400 6.209E+00 2968.44 3278.90 8.864 450 6.672E+00 3049.37 3382.94 9.03 500 7.34E+00 33.95 3488.63 9.55 550 7.596E+00 326.23 3596.0 9.289 600 8.057E+00 3302.23 3705. 9.48 650 8.59E+00 3389.98 385.94 9.54 700 8.98E+00 3479.47 3928.52 9.660 800 9.904E+00 3663.72 458.95 9.885 H2O p = 0. [MPa] Tsat = 99.7 C 0.000E-03-0.04 0.06 0.000 25.003E-03 04.86 04.96 0.367 50.02E-03 209.29 209.39 0.704 75.026E-03 33.86 33.96.05 00.696E+00 2506.64 2676.22 7.36 20.793E+00 2537.29 276.58 7.467 50.936E+00 2582.75 2776.39 7.63 70 2.03E+00 262.89 286.00 7.705 200 2.72E+00 2658.05 2875.28 7.834 250 2.406E+00 2733.74 2974.34 8.033 300 2.639E+00 280.4 3074.29 8.26 350 2.87E+00 2888.40 375.49 8.385 400 3.03E+00 2967.86 3278.2 8.543 450 3.334E+00 3048.89 3382.30 8.693 500 3.565E+00 33.55 3488.0 8.834 550 3.797E+00 325.90 3595.57 8.969 600 4.028E+00 330.95 3704.73 9.098 650 4.259E+00 3389.73 385.62 9.22 700 4.490E+00 3479.26 3928.24 9.340 800 4.952E+00 3663.55 458.73 9.565 H2O p = 0.3 [MPa] Tsat = 33.6 C 0.000E-03-0.04 0.26 0.000 25.003E-03 04.84 05.4 0.367 50.02E-03 209.25 209.56 0.704 75.026E-03 33.82 34.3.05 00.043E-03 48.86 49.7.307 20.060E-03 503.45 503.76.527 50 6.339E-0 2570.80 2760.96 7.078 70 6.673E-0 2603.4 2803.32 7.76 200 7.63E-0 2650.66 2865.55 7.32 250 7.964E-0 2728.69 2967.60 7.57 300 8.753E-0 2806.70 3069.28 7.702 350 9.536E-0 2885.5 37.59 7.873 400.032E+00 2965.54 3274.99 8.033 450.09E+00 3046.98 3379.74 8.83 500.87E+00 329.96 3485.97 8.325 550.264E+00 324.55 3593.78 8.460 600.34E+00 3300.80 3703.2 8.589 650.49E+00 3388.74 384.32 8.73 700.496E+00 3478.40 3927.2 8.832 800.650E+00 3662.87 457.86 9.058 H2O p = 0.2 [MPa] Tsat = 20.3 C 0.000E-03-0.04 0.6 0.000 25.003E-03 04.85 05.05 0.367 50.02E-03 209.27 209.47 0.704 75.026E-03 33.84 34.05.05 00.043E-03 48.89 49.0.307 20.060E-03 503.48 503.69.528 50 9.596E-0 2576.88 2768.8 7.279 70.008E+00 2608.09 2809.75 7.374 200.080E+00 2654.40 2870.47 7.507 250.99E+00 273.23 2970.99 7.709 300.36E+00 2808.56 307.80 7.893 350.433E+00 2886.96 373.54 8.063 400.549E+00 2966.70 3276.56 8.222 450.665E+00 3047.94 338.02 8.37 500.78E+00 330.76 3487.04 8.53 550.897E+00 325.23 3594.67 8.648 600 2.03E+00 330.38 3703.97 8.777 650 2.29E+00 3389.24 384.97 8.90 700 2.244E+00 3478.83 3927.68 9.09 800 2.475E+00 3663.2 458.29 9.245 H2O p = 0.4 [MPa] Tsat = 43.7 C 0.000E-03-0.04 0.36 0.000 25.003E-03 04.83 05.24 0.367 50.02E-03 209.24 209.64 0.704 75.026E-03 33.80 34.2.05 00.043E-03 48.83 49.25.307 20.060E-03 503.4 503.83.527 50 4.708E-0 2564.49 2752.82 6.930 70 4.966E-0 2598.05 2796.70 7.03 200 5.342E-0 2646.83 2860.52 7.7 250 5.95E-0 2726.2 2964.7 7.379 300 6.548E-0 2804.82 3066.75 7.566 350 7.39E-0 2884.06 369.63 7.738 400 7.726E-0 2964.37 3273.42 7.898 450 8.3E-0 3046.02 3378.45 8.049 500 8.893E-0 329.7 3484.90 8.9 550 9.475E-0 323.88 3592.88 8.327 600.006E+00 3300.23 3702.45 8.456 650.064E+00 3388.25 383.66 8.580 700.2E+00 3477.96 3926.55 8.699 800.237E+00 3662.53 457.42 8.924 a-7

H2O p = 0.5 [MPa] Tsat = 5.9 C 0.000E-03-0.04 0.46 0.000 25.003E-03 04.83 05.33 0.367 50.02E-03 209.22 209.73 0.703 75.026E-03 33.77 34.29.05 00.043E-03 48.80 49.32.306 20.060E-03 503.38 503.9.527 50.090E-03 63.66 632.20.842 70 3.942E-0 2592.79 2789.87 6.96 200 4.249E-0 2642.92 2855.38 7.059 250 4.744E-0 2723.5 2960.69 7.27 300 5.226E-0 2802.92 3064.20 7.460 350 5.70E-0 2882.60 367.65 7.633 400 6.73E-0 2963.20 327.84 7.794 450 6.642E-0 3045.06 3377.6 7.945 500 7.09E-0 328.37 3483.83 8.087 550 7.575E-0 323.2 359.98 8.223 600 8.04E-0 3299.66 370.69 8.352 650 8.505E-0 3387.75 383.0 8.476 700 8.969E-0 3477.53 3925.99 8.595 800 9.896E-0 3662.9 456.98 8.82 H2O p = 0.8 [MPa] Tsat = 70.5 C 0 9.998E-04-0.03 0.77 0.000 25.003E-03 04.80 05.6 0.367 50.02E-03 209.8 209.99 0.703 75.026E-03 33.7 34.53.05 00.043E-03 48.7 49.55.306 20.060E-03 503.27 504.2.527 50.090E-03 63.5 632.39.84 70.4E-03 78.3 79.2 2.042 200 2.608E-0 2630.62 2839.26 6.86 250 2.93E-0 275.47 2949.98 7.038 300 3.24E-0 2797.5 3056.44 7.233 350 3.544E-0 2878.7 36.69 7.409 400 3.843E-0 2959.67 3267.08 7.572 450 4.39E-0 3042.7 3373.28 7.724 500 4.433E-0 325.96 3480.6 7.867 550 4.726E-0 32.8 3589.28 8.003 600 5.08E-0 3297.93 3699.40 8.33 650 5.30E-0 3386.27 38.05 8.258 700 5.60E-0 3476.24 3924.29 8.377 800 6.8E-0 366.7 455.67 8.603 H2O p =.2 [MPa] Tsat = 88.0 C 0 9.996E-04-0.02.7 0.000 25.002E-03 04.77 05.98 0.367 50.02E-03 209.2 20.33 0.703 75.025E-03 33.62 34.85.05 00.043E-03 48.60 49.85.306 20.060E-03 503.3 504.40.527 50.090E-03 63.33 632.63.84 70.4E-03 78.09 79.42 2.04 200.693E-0 262.75 285.9 6.590 250.923E-0 2704.2 2935.02 6.829 300 2.38E-0 2789.23 3045.8 7.032 350 2.345E-0 2872.7 353.60 7.22 400 2.548E-0 2954.9 3260.67 7.377 450 2.748E-0 3038.29 3368.06 7.53 500 2.946E-0 322.73 3476.29 7.676 550 3.43E-0 3208.46 3585.66 7.83 600 3.339E-0 3295.6 3696.33 7.943 650 3.535E-0 3384.27 3808.43 8.068 700 3.729E-0 3474.50 3922.02 8.88 800 4.8E-0 3659.80 453.92 8.45 H2O p = 0.6 [MPa] Tsat = 58.9 C 0 9.999E-04-0.03 0.57 0.000 25.003E-03 04.82 05.42 0.367 50.02E-03 209.2 209.82 0.703 75.026E-03 33.75 34.37.05 00.043E-03 48.77 49.40.306 20.060E-03 503.34 503.98.527 50.090E-03 63.6 632.26.842 70 3.258E-0 2587.37 2782.83 6.89 200 3.520E-0 2638.92 2850.3 6.966 250 3.938E-0 2720.87 2957.7 7.82 300 4.344E-0 280.0 306.64 7.372 350 4.742E-0 288.3 365.67 7.546 400 5.37E-0 2962.03 3270.26 7.708 450 5.529E-0 3044.0 3375.87 7.859 500 5.920E-0 327.57 3482.76 8.002 550 6.309E-0 322.53 359.08 8.38 600 6.697E-0 3299.08 3700.93 8.267 650 7.085E-0 3387.26 382.36 8.39 700 7.472E-0 3477.0 3925.42 8.5 800 8.245E-0 366.85 456.55 8.737 H2O p =.0 [MPa] Tsat = 80.0 C 0 9.997E-04-0.03 0.97 0.000 25.002E-03 04.79 05.79 0.367 50.02E-03 209.5 20.6 0.703 75.025E-03 33.67 34.69.05 00.043E-03 48.66 49.70.306 20.060E-03 503.20 504.26.527 50.090E-03 63.42 632.5.84 70.4E-03 78.20 79.3 2.042 200 2.060E-0 262.9 2827.86 6.694 250 2.327E-0 2709.92 2942.60 6.925 300 2.579E-0 2793.22 305.6 7.23 350 2.825E-0 2875.9 357.66 7.30 400 3.066E-0 2957.30 3263.89 7.465 450 3.304E-0 3040.24 3370.67 7.68 500 3.54E-0 324.35 3478.46 7.762 550 3.776E-0 3209.82 3587.47 7.899 600 4.0E-0 3296.77 3697.87 8.029 650 4.245E-0 3385.27 3809.74 8.54 700 4.478E-0 3475.37 3923.6 8.273 800 4.943E-0 3660.48 454.80 8.500 H2O p =.4 [MPa] Tsat = 95. C 0 9.995E-04-0.02.38 0.000 25.002E-03 04.76 06.6 0.367 50.02E-03 209.09 20.5 0.703 75.025E-03 33.58 35.0.05 00.043E-03 48.54 420.00.306 20.060E-03 503.06 504.54.526 50.090E-03 63.23 632.76.84 70.4E-03 77.97 79.53 2.04 200.430E-0 2603.09 2803.33 6.498 250.635E-0 2698.32 2927.23 6.747 300.823E-0 2785.7 3040.36 6.953 350 2.003E-0 2869.3 349.50 7.36 400 2.78E-0 2952.5 3257.44 7.303 450 2.35E-0 3036.34 3365.43 7.457 500 2.52E-0 32. 3474.2 7.603 550 2.69E-0 3207.0 3583.84 7.740 600 2.860E-0 3294.45 3694.79 7.87 650 3.027E-0 3383.27 3807. 7.996 700 3.95E-0 3473.63 3920.89 8.6 800 3.528E-0 3659. 453.05 8.343 a-8

H2O p =.6 [MPa] Tsat = 20.5 C 0 9.994E-04-0.02.58 0.000 25.002E-03 04.74 06.35 0.367 50.0E-03 209.06 20.68 0.703 75.025E-03 33.53 35.7.04 00.043E-03 48.48 420.5.306 20.060E-03 502.98 504.68.526 50.090E-03 63.4 632.88.840 70.4E-03 77.86 79.64 2.04 200.56E-03 850.6 852.46 2.33 250.48E-0 2692.27 299.2 6.673 300.586E-0 278.04 3034.83 6.884 350.746E-0 2866.06 345.36 7.069 400.90E-0 2950.0 3254.8 7.237 450 2.053E-0 3034.38 3362.80 7.393 500 2.203E-0 39.48 347.94 7.539 550 2.352E-0 3205.73 3582.02 7.677 600 2.500E-0 3293.29 3693.25 7.808 650 2.647E-0 3382.27 3805.79 7.933 700 2.794E-0 3472.76 399.75 8.054 800 3.086E-0 3658.42 452.7 8.28 H2O p = 2.0 [MPa] Tsat = 22.5 C 0 9.992E-04-0.0.99 0.000 25.002E-03 04.7 06.72 0.367 50.0E-03 209.00 2.02 0.703 75.025E-03 33.45 35.50.04 00.043E-03 48.37 420.45.305 20.059E-03 502.84 504.96.526 50.089E-03 630.95 633.3.840 70.3E-03 77.63 79.86 2.040 200.56E-03 850.3 852.62 2.330 250.4E-0 2679.59 2902.47 6.545 300.255E-0 2772.57 3023.5 6.766 350.386E-0 2859.82 336.97 6.956 400.52E-0 2945.22 3247.6 7.27 450.635E-0 3030.43 3357.49 7.284 500.757E-0 36.2 3467.56 7.432 550.877E-0 3202.98 3578.35 7.57 600.996E-0 3290.95 3690.5 7.702 650 2.4E-0 3380.26 3803.5 7.828 700 2.232E-0 347.0 397.47 7.949 800 2.467E-0 3657.05 450.42 8.77 H2O p = 3.0 [MPa] Tsat = 234.0 C 0 9.987E-04 0.00 3.00 0.000 25.002E-03 04.64 07.64 0.367 50.0E-03 208.85 2.88 0.702 75.025E-03 33.23 36.30.04 00.042E-03 48.08 42.20.305 20.059E-03 502.49 505.67.525 50.089E-03 630.48 633.75.839 70.3E-03 77.07 720.4 2.039 200.55E-03 849.56 853.03 2.329 250 7.058E-02 2644.0 2855.76 6.287 300 8.4E-02 2750.05 2993.49 6.539 350 9.053E-02 2843.67 35.26 6.743 400 9.936E-02 2932.76 3230.84 6.92 450.079E-0 3020.40 3344.0 7.083 500.62E-0 307.93 3456.49 7.234 550.244E-0 396.03 3569. 7.375 600.324E-0 3285.05 3682.35 7.508 650.404E-0 3375.20 3796.49 7.636 700.484E-0 3466.6 39.74 7.757 800.64E-0 3653.60 446.02 7.986 H2O p =.8 [MPa] Tsat = 207.2 C 0 9.993E-04-0.02.78 0.000 25.002E-03 04.73 06.53 0.367 50.0E-03 209.03 20.85 0.703 75.025E-03 33.49 35.34.04 00.043E-03 48.42 420.30.305 20.059E-03 502.9 504.82.526 50.090E-03 63.04 633.00.840 70.3E-03 77.75 79.75 2.04 200.56E-03 850.46 852.54 2.330 250.250E-0 2686.03 290.97 6.607 300.402E-0 2776.84 3029.22 6.823 350.546E-0 2862.96 34.9 7.00 400.685E-0 2947.67 3250.9 7.79 450.82E-0 3032.4 3360.5 7.336 500.955E-0 37.85 3469.76 7.482 550 2.088E-0 3204.36 3580.9 7.62 600 2.220E-0 3292.2 369.70 7.752 650 2.35E-0 338.27 3804.47 7.878 700 2.482E-0 347.89 398.6 7.998 800 2.742E-0 3657.74 45.29 8.226 H2O p = 2.5 [MPa] Tsat = 224.0 C 0 9.990E-04-0.0 2.49 0.000 25.002E-03 04.67 07.8 0.367 50.0E-03 208.92 2.45 0.703 75.025E-03 33.34 35.90.04 00.042E-03 48.22 420.83.305 20.059E-03 502.67 505.3.525 50.089E-03 630.72 633.44.839 70.3E-03 77.35 720.4 2.040 200.56E-03 849.94 852.82 2.329 250 8.700E-02 2662.56 2880.07 6.408 300 9.890E-02 276.57 3008.82 6.644 350.098E-0 285.85 326.25 6.840 400.20E-0 2939.04 3239.29 7.05 450.30E-0 3025.44 3350.79 7.75 500.400E-0 32.09 3462.05 7.323 550.497E-0 399.52 3573.75 7.463 600.593E-0 3288.0 3686.26 7.596 650.688E-0 3377.74 3799.83 7.722 700.783E-0 3468.82 394.6 7.844 800.972E-0 3655.33 448.22 8.072 H2O p = 3.5 [MPa] Tsat = 242.7 C 0 9.985E-04 0.0 3.50 0.000 25.00E-03 04.60 08.0 0.366 50.0E-03 208.77 22.3 0.702 75.024E-03 33.2 36.7.03 00.042E-03 47.94 42.58.304 20.058E-03 502.3 506.02.525 50.088E-03 630.25 634.06.838 70.2E-03 76.79 720.68 2.038 200.54E-03 849.9 853.23 2.328 250 5.873E-02 2623.66 2829.20 6.75 300 6.842E-02 2738.00 2977.47 6.446 350 7.678E-02 2835.28 304.00 6.658 400 8.453E-02 2926.38 3222.25 6.840 450 9.96E-02 305.30 3337.6 7.005 500 9.98E-02 303.74 3450.88 7.57 550.063E-0 392.52 3564.44 7.299 600.32E-0 3282.07 3678.42 7.434 650.20E-0 3372.64 3793.4 7.562 700.270E-0 3464.40 3908.85 7.684 800.406E-0 365.87 443.82 7.94 a-9

H2O p = 4.0 [MPa] Tsat = 250.4 C 0 9.982E-04 0.02 4.0 0.000 25.00E-03 04.56 08.56 0.366 50.00E-03 208.70 22.74 0.702 75.024E-03 33.0 37..03 00.042E-03 47.79 42.96.304 20.058E-03 502.4 506.37.524 50.088E-03 630.02 634.37.838 70.2E-03 76.5 720.96 2.038 200.54E-03 848.82 853.44 2.327 250.25E-03 080.35 085.35 2.793 300 5.884E-02 2725.34 2960.69 6.36 350 6.645E-02 2826.66 3092.44 6.582 400 7.34E-02 299.89 323.53 6.769 450 8.003E-02 300.4 3330.24 6.936 500 8.643E-02 3099.5 3445.23 7.090 550 9.269E-02 388.99 3559.74 7.234 600 9.885E-02 3279.08 3674.46 7.369 650.049E-0 3370.08 3789.78 7.497 700.09E-0 3462.7 3905.96 7.620 800.229E-0 3650.3 44.62 7.850 H2O p = 5.0 [MPa] Tsat = 264.0 C 0 9.977E-04 0.03 5.02 0.000 25.00E-03 04.48 09.49 0.366 50.00E-03 208.55 23.60 0.70 75.024E-03 32.80 37.92.02 00.04E-03 47.5 422.7.303 20.058E-03 50.79 507.08.523 50.087E-03 629.55 634.99.837 70.E-03 75.96 72.5 2.037 200.53E-03 848.09 853.85 2.325 250.249E-03 079.08 085.33 2.790 300 4.532E-02 2697.95 2924.54 6.208 350 5.94E-02 2808.68 3068.40 6.449 400 5.78E-02 2906.59 395.66 6.646 450 6.330E-02 2999.65 336.6 6.89 500 6.857E-02 3090.94 3433.78 6.976 550 7.368E-02 38.84 3550.25 7.22 600 7.869E-02 3273.03 3666.48 7.259 650 8.362E-02 3364.90 3783.00 7.389 700 8.849E-02 3457.69 3900.5 7.52 800 9.8E-02 3646.65 437.20 7.744 H2O p = 7.0 [MPa] Tsat = 285.9 C 0 9.967E-04 0.06 7.03 0.000 25 9.998E-04 04.33.33 0.366 50.009E-03 208.26 25.32 0.700 75.023E-03 32.37 39.53.0 00.040E-03 46.94 424.22.30 20.057E-03 50.0 508.49.52 50.086E-03 628.63 636.24.835 70.09E-03 74.86 722.62 2.034 200.5E-03 846.64 854.69 2.322 250.246E-03 076.6 085.33 2.785 300 2.947E-02 2632.5 2838.4 5.930 350 3.524E-02 2769.36 306.03 6.228 400 3.993E-02 2878.57 358.08 6.448 450 4.46E-02 2977.93 3287.06 6.633 500 4.84E-02 3073.35 340.3 6.797 550 5.95E-02 367.23 3530.89 6.949 600 5.565E-02 3260.7 3650.28 7.089 650 5.927E-02 3354.39 3769.28 7.222 700 6.283E-02 3448.62 3888.4 7.348 800 6.98E-02 3639.64 428.32 7.582 H2O p = 4.5 [MPa] Tsat = 257.5 C 0 9.980E-04 0.02 4.5 0.000 25.00E-03 04.52 09.03 0.366 50.00E-03 208.63 23.7 0.702 75.024E-03 32.9 37.5.03 00.04E-03 47.65 422.33.303 20.058E-03 50.96 506.73.524 50.088E-03 629.78 634.68.837 70.E-03 76.23 72.24 2.037 200.53E-03 848.46 853.65 2.326 250.250E-03 079.7 085.34 2.79 300 5.35E-02 272.0 2943.08 6.283 350 5.840E-02 287.80 3080.58 6.53 400 6.475E-02 293.30 3204.66 6.705 450 7.074E-02 3004.93 3323.24 6.875 500 7.65E-02 3095.24 3439.53 7.030 550 8.23E-02 385.42 3555.0 7.75 600 8.765E-02 3276.06 3670.48 7.3 650 9.309E-02 3367.49 3786.40 7.440 700 9.847E-02 3459.94 3903.06 7.563 800.09E-0 3648.39 439.4 7.794 H2O p = 6.0 [MPa] Tsat = 275.7 C 0 9.972E-04 0.04 6.03 0.000 25.000E-03 04.4 0.4 0.366 50.009E-03 208.40 24.46 0.70 75.023E-03 32.58 38.72.02 00.04E-03 47.22 423.47.302 20.057E-03 50.44 507.79.522 50.087E-03 629.09 635.6.836 70.0E-03 75.4 722.07 2.035 200.52E-03 847.36 854.27 2.324 250.248E-03 077.84 085.32 2.788 300 3.66E-02 2667.23 2884.2 6.067 350 4.223E-02 2789.63 3042.99 6.333 400 4.739E-02 2892.83 377.9 6.54 450 5.24E-02 2988.92 330.77 6.79 500 5.665E-02 3082.22 3422.4 6.880 550 6.0E-02 374.59 3540.63 7.029 600 6.525E-02 3266.9 3658.42 7.68 650 6.942E-02 3359.67 3776.7 7.299 700 7.352E-02 3453.7 3894.30 7.423 800 8.60E-02 3643.5 432.77 7.657 H2O p = 8.0 [MPa] Tsat = 285. C 0 9.962E-04 0.07 8.04 0.000 25 9.993E-04 04.26 2.25 0.365 50.009E-03 208. 26.8 0.700 75.022E-03 32.6 320.34.00 00.040E-03 46.66 424.97.30 20.056E-03 500.75 509.20.52 50.085E-03 628.8 636.86.833 70.09E-03 74.3 723.8 2.033 200.50E-03 845.92 855.2 2.32 250.244E-03 075.40 085.35 2.783 300 2.426E-02 2590.94 2785.00 5.79 350 2.995E-02 2747.69 2987.32 6.30 400 3.432E-02 2863.77 338.30 6.363 450 3.87E-02 2966.68 3272.0 6.555 500 4.75E-02 3064.32 3398.29 6.724 550 4.56E-02 359.78 352.03 6.878 600 4.845E-02 3254.45 3642.05 7.02 650 5.66E-02 3349.06 3762.34 7.55 700 5.48E-02 3444.03 3882.49 7.28 800 6.097E-02 3636. 423.87 7.57 a-0

H2O p = 0.0 [MPa] Tsat = 3. C 0 9.952E-04 0.09 0.05 0.000 25 9.984E-04 04. 4.09 0.365 50.008E-03 207.82 27.89 0.699 75.02E-03 3.74 32.95.009 00.039E-03 46.0 426.48.299 20.055E-03 500.07 50.62.59 50.084E-03 627.28 638.2.83 70.07E-03 73.23 724.30 2.030 200.48E-03 844.50 855.98 2.38 250.240E-03 073.0 085.42 2.778 300.397E-03 328.35 342.32 3.247 350 2.242E-02 2699.7 2923.40 5.944 400 2.64E-02 2832.40 3096.48 6.22 450 2.975E-02 2943.34 3240.85 6.49 500 3.279E-02 3045.79 3373.65 6.597 550 3.564E-02 344.56 3500.94 6.756 600 3.837E-02 324.7 3625.36 6.903 650 4.0E-02 3338.24 3748.30 7.040 700 4.358E-02 3434.75 3870.54 7.69 800 4.859E-02 3629.00 44.94 7.408 H2O p =.50 [MPa] Tsat = 342.3 C 0 9.928E-04 0.5 5.04 0.000 25 9.963E-04 03.73 8.68 0.363 50.006E-03 207.09 222.8 0.697 75.09E-03 30.70 325.98.006 00.036E-03 44.72 430.26.295 20.052E-03 498.39 54.7.54 50.08E-03 625.06 64.28.826 70.03E-03 70.58 727.4 2.024 200.43E-03 84.04 858.9 2.30 250.232E-03 067.29 085.77 2.767 300.377E-03 36.59 337.24 3.226 350.47E-02 2520.38 2692.44 5.442 400.565E-02 2740.72 2975.46 5.88 450.845E-02 2879.50 356.8 6.40 500 2.080E-02 2996.55 3308.55 6.344 550 2.293E-02 304.73 3448.63 6.520 600 2.49E-02 3208.67 3582.33 6.678 650 2.680E-02 330.40 372.34 6.822 700 2.86E-02 340.97 3840.5 6.957 800 3.20E-02 36.03 4092.46 7.204 H2O p = 20.0 [MPa] Tsat = 365.9 C 0 9.904E-04 0.20 20.00 0.000 25 9.94E-04 03.36 23.24 0.362 50.003E-03 206.38 226.45 0.694 75.07E-03 309.68 330.0.003 00.034E-03 43.38 434.05.292 20.050E-03 496.75 57.74.50 50.078E-03 622.90 644.46.82 70.00E-03 708.0 730.0 2.08 200.39E-03 837.70 860.48 2.303 250.224E-03 06.87 086.36 2.757 300.360E-03 306. 333.30 3.207 350.664E-03 62.29 645.57 3.728 400 9.942E-03 269.25 288.0 5.554 450.270E-02 2806.8 3060.09 5.902 500.477E-02 2942.84 3238.2 6.40 550.656E-02 3062.37 3393.48 6.335 600.88E-02 374.04 3537.59 6.505 650.969E-02 328.49 3675.35 6.658 700 2.3E-02 3386.50 3809.2 6.799 800 2.385E-02 3592.78 4069.83 7.054 H2O p = 2.5 [MPa] Tsat = 327.9 C 0 9.940E-04 0.2 2.55 0.000 25 9.973E-04 03.92 6.39 0.364 50.007E-03 207.45 220.04 0.698 75.020E-03 3.2 323.97.008 00.037E-03 45.4 428.37.297 20.054E-03 499.23 52.39.57 50.083E-03 626.6 639.69.829 70.05E-03 7.90 725.7 2.027 200.46E-03 842.76 857.08 2.34 250.236E-03 070. 085.56 2.773 300.387E-03 322.28 339.62 3.236 350.63E-02 2624.59 2826.7 5.72 400 2.000E-02 2789.27 3039.32 6.042 450 2.299E-02 292.46 399.80 6.272 500 2.560E-02 302.70 334.74 6.462 550 2.80E-02 324.97 3475.5 6.629 600 3.029E-02 3225.40 3604.07 6.78 650 3.248E-02 3324.46 3730.46 6.922 700 3.460E-02 3422.96 3855.43 7.054 800 3.869E-02 3620.05 403.72 7.297 H2O p = 7.5 [MPa] Tsat = 354.8 C 0 9.96E-04 0.8 7.53 0.000 25 9.952E-04 03.55 20.96 0.363 50.005E-03 206.74 224.32 0.696 75.08E-03 30.8 328.00.005 00.035E-03 44.05 432.6.294 20.05E-03 497.57 55.96.52 50.079E-03 623.98 642.86.823 70.02E-03 709.29 728.57 2.02 200.4E-03 839.36 859.32 2.307 250.228E-03 064.55 086.04 2.762 300.368E-03 3.2 335.5 3.26 350.74E-03 632.04 662.03 3.76 400.245E-02 2685.0 2902.84 5.72 450.57E-02 2844.7 309.7 6.08 500.736E-02 2970.28 3274.05 6.238 550.929E-02 3083.87 342.40 6.423 600 2.06E-02 39.54 3560.6 6.587 650 2.274E-02 3296.07 3693.96 6.736 700 2.434E-02 3398.82 3824.70 6.874 800 2.738E-02 360.93 408.6 7.25 H2O p = 25.0 [MPa] 0 9.880E-04 0.23 24.93 0.000 25 9.920E-04 02.99 27.79 0.36 50.00E-03 205.68 230.72 0.692 75.05E-03 308.68 334.05.000 00.03E-03 42.06 437.84.288 20.047E-03 495.5 52.32.506 50.075E-03 620.80 647.67.86 70.096E-03 705.5 732.93 2.02 200.34E-03 834.47 862.83 2.296 250.27E-03 056.73 087.6 2.747 300.344E-03 296.6 330.2 3.90 350.598E-03 583.56 623.5 3.680 400 6.004E-03 2430.08 2580.9 5.42 450 9.62E-03 2720.68 2949.73 5.674 500.2E-02 2884.33 362.4 5.959 550.272E-02 307.54 3335.65 6.76 600.44E-02 337.95 349.39 6.360 650.543E-02 325.67 3637.49 6.523 700.665E-02 336.43 3777.59 6.67 800.89E-02 3574.30 4047. 6.935 a-

H2O p = 30.0 [MPa] 0 9.856E-04 0.25 29.82 0.000 25 9.899E-04 02.62 32.32 0.359 50 9.994E-04 205.00 234.98 0.690 75.03E-03 307.70 338.08 0.997 00.029E-03 40.77 44.64.284 20.044E-03 493.58 524.9.502 50.072E-03 68.75 650.90.8 70.093E-03 703.08 735.87 2.007 200.30E-03 83.34 865.25 2.289 250.20E-03 05.82 088.3 2.737 300.330E-03 287.90 327.8 3.74 350.552E-03 56.87 608.42 3.643 400 2.790E-03 2067.38 25.08 4.473 450 6.735E-03 269.33 282.38 5.442 500 8.679E-03 2820.7 308.06 5.790 550.07E-02 2970.35 3275.39 6.034 600.45E-02 300.57 3443.94 6.233 650.260E-02 322.08 3598.96 6.406 700.366E-02 3335.88 3745.7 6.56 800.562E-02 3555.65 4024.34 6.833 H2O p = 40.0 [MPa] 0 9.8E-04 0.25 39.50 0.000 25 9.858E-04 0.90 4.33 0.356 50 9.953E-04 203.66 243.47 0.685 75.008E-03 305.79 346.3 0.99 00.024E-03 408.27 449.25.277 20.040E-03 490.54 532.3.494 50.066E-03 64.79 657.43.80 70.087E-03 698.40 74.87.996 200.22E-03 825.37 870.26 2.276 250.98E-03 042.65 090.55 2.78 300.306E-03 272.33 324.58 3.45 350.487E-03 528.75 588.24 3.586 400.908E-03 854.54 930.85 4.3 450 3.693E-03 2365. 252.83 4.946 500 5.622E-03 2678.40 2903.30 5.470 550 6.984E-03 2869.73 349.09 5.778 600 8.094E-03 3022.65 3346.42 6.0 650 9.063E-03 358.08 3520.62 6.205 700 9.94E-03 3283.68 368.33 6.375 800.52E-02 357.94 3978.85 6.666 H2O p = 60.0 [MPa] 0 9.723E-04 0.0 58.44-0.003 25 9.780E-04 00.47 59.5 0.350 50 9.876E-04 20. 260.37 0.676 75.000E-03 302.9 362.22 0.980 00.06E-03 403.55 464.50.263 20.030E-03 484.84 546.66.478 50.055E-03 607.39 670.7.782 70.075E-03 689.70 754.8.975 200.08E-03 84.39 880.85 2.25 250.76E-03 026.35 096.89 2.685 300.268E-03 246.47 322.55 3.097 350.405E-03 482.2 566.4 3.505 400.633E-03 745.36 843.37 3.932 450 2.085E-03 2053.89 278.99 4.42 500 2.956E-03 2390.58 2567.93 4.932 550 3.957E-03 2658.8 2896.2 5.344 600 4.835E-03 286.9 35.26 5.645 650 5.595E-03 3028.88 3364.60 5.883 700 6.272E-03 377.30 3553.6 6.082 800 7.459E-03 344.66 3889.8 6.4 H2O p = 35.0 [MPa] 0 9.833E-04 0.26 34.68 0.000 25 9.879E-04 02.26 36.83 0.358 50 9.973E-04 204.32 239.23 0.688 75.00E-03 306.74 342.0 0.994 00.027E-03 409.50 445.44.28 20.042E-03 492.05 528.52.498 50.069E-03 66.75 654.6.806 70.090E-03 700.7 738.86 2.00 200.26E-03 828.3 867.73 2.283 250.204E-03 047.4 089.27 2.727 300.38E-03 279.84 325.96 3.59 350.56E-03 544.04 597.2 3.62 400 2.00E-03 94.05 987.55 4.22 450 4.962E-03 2498.74 2672.40 5.96 500 6.927E-03 275.9 2994.37 5.628 550 8.345E-03 2920.98 323.04 5.903 600 9.527E-03 3062.07 3395.52 6.8 650.057E-02 389.84 3559.94 6.30 700.53E-02 3309.93 373.58 6.463 800.328E-02 3536.86 400.58 6.745 H2O p = 50.0 [MPa] 0 9.766E-04 0.20 49.03-0.00 25 9.89E-04 0.8 50.27 0.353 50 9.94E-04 202.36 25.94 0.68 75.004E-03 303.96 354.8 0.985 00.020E-03 405.86 456.87.270 20.035E-03 487.63 539.38.486 50.06E-03 6.0 664.04.79 70.080E-03 693.95 747.98.985 200.5E-03 89.73 875.46 2.263 250.86E-03 034.9 093.50 2.70 300.286E-03 258.67 322.96 3.20 350.44E-03 503.9 575.24 3.542 400.73E-03 788.06 874.6 4.003 450 2.486E-03 259.64 2283.95 4.588 500 3.892E-03 2525.49 2720.2 5.73 550 5.8E-03 2763.66 309.56 5.549 600 6.2E-03 2942.02 3247.64 5.88 650 6.966E-03 3093.60 344.89 6.034 700 7.727E-03 3230.59 366.95 6.29 800 9.076E-03 3479.88 3933.67 6.529 H2O p = 70.0 [MPa] 0 9.682E-04-0.05 67.72-0.004 25 9.742E-04 99.78 67.98 0.347 50 9.839E-04 99.90 268.77 0.672 75 9.965E-04 300.49 370.24 0.974 00.02E-03 40.32 472.5.257 20.026E-03 482.5 553.96.470 50.050E-03 603.92 677.44.773 70.069E-03 685.64 760.48.965 200.0E-03 809.32 886.38 2.240 250.66E-03 09.02 00.64 2.670 300.252E-03 235.44 323.09 3.076 350.375E-03 464.2 560.37 3.473 400.566E-03 73.4 822.79 3.877 450.893E-03 990.5 222.66 4.307 500 2.466E-03 2290.58 2463.9 4.762 550 3.227E-03 2563.90 2789.80 5.72 600 3.976E-03 2783.45 306.76 5.493 650 4.650E-03 2965.40 3290.90 5.748 700 5.256E-03 324.59 3492.48 5.96 800 6.38E-03 3403.5 3845.78 6.307 a-2

R77 Ammoniaca Proprietà del liquido e del vapore saturo in funzione della temperatura Temp. Press. Vol. Spec. Vol. Spec. E.Interna E.Interna( Entalpia Entalpia Entropia Entropia (L) (V) (L) V) (L) (V) (L) (V) T [C] p [MPa] v f [m 3 /kg] v g [m 3 /kg] u f [kj/kg] u g [kj/kg] h f [kj/kg] h g [kj/kg] s f [kj/kg K] s g [kj/kg K] -75.00 0.0075 0.0037 2.82-80.7 20-80.7 297-0.8265 6.634-70.00 0.0094 0.0038 9.008-59.6 208-59.6 307-0.72 6.497-65.00 0.0562 0.0039 6.452-38.3 25-38.3 36-0.675 6.369-60.00 0.0289 0.0040 4.706-6.9 222-6.8 325-0.557 6.248-55.00 0.0304 0.004 3.490-95.27 229-95.23 334-0.457 6.35-50.00 0.04084 0.0042 2.628-73.55 235-73.49 342-0.372 6.028-45.00 0.05449 0.0044 2.007-5.69 24-5.6 35-0.2203 5.927-40.00 0.0769 0.0045.553-29.70 248-29.59 359-0.250 5.83-35.00 0.0930 0.0046.27-7.580 254-7.443 367-0.03 5.740-30.00 0.94 0.0048 0.9640 4.66 259 4.84 375 0.0634 5.653-25.00 0.55 0.0049 0.777 37.02 265 37.25 382 0.524 5.57-20.00 0.90 0.0050 0.6237 59.50 270 59.79 389 0.242 5.492-5.00 0.2362 0.0052 0.5087 82.09 275 82.45 396 0.3304 5.47-0.00 0.2907 0.0053 0.483 04.8 280 05.2 402 0.476 5.345-5.000 0.3548 0.0055 0.3466 27.6 285 28.2 408 0.5035 5.276 0.0 0.4294 0.0057 0.2893 50.6 289 5.2 43 0.5883 5.209 5.000 0.557 0.0058 0.2430 73.6 293 74.4 49 0.6720 5.45 0.00 0.650 0.0060 0.2054 96.8 297 97.8 423 0.7547 5.083 5.00 0.7285 0.0062 0.746 220. 300 22.3 428 0.8364 5.023 20.00 0.8575 0.0064 0.492 243.6 303 245.0 43 0.972 4.964 25.00.003 0.0066 0.28 267.2 306 268.9 435 0.9972 4.907 30.00.67 0.0068 0.05 29.0 308 293.0 437.076 4.85 35.00.35 0.0070 0.09563 35.0 30 37.3 440.55 4.797 40.00.555 0.0073 0.0830 339.2 32 34.9 44.233 4.743 45.00.783 0.0075 0.07245 363.6 33 366.7 442.30 4.690 50.00 2.034 0.0078 0.06335 388.2 33 39.9 442.387 4.638 55.00 2.3 0.0080 0.05554 43.2 33 47.3 442.464 4.586 60.00 2.66 0.0083 0.04880 438.4 33 443.2 44.54 4.534 65.00 2.949 0.0087 0.04296 464.0 32 469.5 438.67 4.482 70.00 3.33 0.0090 0.03787 490.0 30 496.3 435.694 4.430 75.00 3.70 0.0094 0.03342 56.4 307 523.6 43.77 4.377 80.00 4.42 0.0098 0.0295 543.4 303 55.6 426.848 4.323 85.00 4.60 0.00202 0.02606 57.0 299 580.3 49.926 4.267 90.00 5.7 0.00207 0.02300 599.2 293 609.8 40 2.005 4.20 95.00 5.664 0.0023 0.02027 628.4 285 640.4 400 2.086 4.49 00.0 6.255 0.0029 0.0782 658.5 276 672.2 388 2.68 4.086 05.0 6.892 0.00226 0.056 690.0 265 705.6 373 2.253 4.07 0.0 7.578 0.00235 0.0360 723. 25 740.9 354 2.342 3.943 5.0 8.37 0.00246 0.074 758.5 234 779.0 33 2.436 3.858 20.0 9.2 0.00259 0.00999 797.5 20 82.2 30 2.539 3.760 25.0 9.970 0.00279 0.00828 843. 78 870.9 260 2.658 3.637 30.0 0.90 0.00320 0.00638 908.4 2 943.3 9 2.832 3.445 a-3

R77 Ammoniaca Proprietà del liquido e del vapore saturo in funzione della pressione Press. Temp. Vol. Spec. Vol. Spec. E.Interna E.Interna Entalpia Entalpia Entropia Entropia (L) (V) (L) (V) (L) (V) (L) (V) p [MPa] T [C] v f [m 3 /kg] v g [m 3 /kg] u f [kj/kg] u g [kj/kg] h f [kj/kg] h g [kj/kg] s f [kj/kg K] s g [kj/kg K] 0.030-55.08 0.004 3.505-95.6 229-95.57 334-0.472 6.37 0.040-50.35 0.0042 2.679-75.07 235-75.0 342-0.324 6.035 0.050-46.52 0.0043 2.75-58.34 240-58.27 348-0.2496 5.957 0.060-43.27 0.0044.834-44. 244-44.02 354-0.872 5.893 0.070-40.45 0.0045.588-3.66 247-3.56 358-0.334 5.839 0.080-37.93 0.0045.402-20.56 250-20.44 362-0.08595 5.793 0.090-35.66 0.0046.256-0.5 253-0.38 366-0.04343 5.752 0.00-33.59 0.0047.38 -.32 255 -.66 369-0.00486 5.75 0.0-3.68 0.0047.04 7.88 258 7.35 372 0.03049 5.682 0.20-29.9 0.0048 0.9597 5. 260 5.28 375 0.0634 5.652 0.30-28.24 0.0048 0.8904 22.5 26 22.7 377 0.0935 5.624 0.40-26.68 0.0048 0.8307 29.49 263 29.69 379 0.29 5.598 0.50-25.2 0.0049 0.7788 36.08 265 36.3 382 0.486 5.574 0.60-23.8 0.0049 0.733 42.34 266 42.58 384 0.738 5.552 0.70-22.49 0.005 0.6926 48.3 268 48.56 385 0.976 5.53 0.80-2.22 0.005 0.6564 54 269 54.27 387 0.2203 5.5 0.90-20.0 0.005 0.624 59.46 270 59.74 389 0.249 5.493 0.200-8.85 0.005 0.5946 64.7 272 65 390 0.2625 5.475 0.225-6.3 0.005 0.5324 76.95 274 77.3 394 0.305 5.434 0.250-3.65 0.0052 0.4822 88.2 277 88.58 397 0.354 5.398 0.275 -.36 0.0053 0.4408 98.62 279 99.04 400 0.394 5.364 0.300-9.224 0.0054 0.406 08.3 28 08.8 403 0.43 5.334 0.325-7.226 0.0054 0.3765 7.4 283 7.9 405 0.4654 5.306 0.350-5.346 0.0055 0.35 26 285 26.6 408 0.4976 5.28 0.375-3.568 0.0055 0.3289 34.2 286 34.8 40 0.5279 5.257 0.400 -.88 0.0056 0.3094 4.9 288 42.5 4 0.5565 5.234 0.500 4.4 0.0058 0.2503 69.6 293 70.4 48 0.6577 5.56 0.600 9.285 0.006 0.204 93.5 296 94.4 423 0.7429 5.092 0.700 3.8 0.006 0.85 24.5 300 25.7 427 0.869 5.037 0.800 7.85 0.0063 0.596 233.5 302 234.8 430 0.8825 4.989 0.900 2.52 0.0064 0.424 250.8 304 252.3 432 0.946 4.947.000 24.9 0.0066 0.285 266.7 306 268.4 435 0.9955 4.908.200 30.94 0.0068 0.075 295.5 309 297.5 438.09 4.84.400 36.25 0.007 0.0923 32 3 323.4 440.74 4.783.600 4.02 0.0073 0.08078 344.2 32 346.9 44.249 4.732.800 45.36 0.0075 0.0774 365.4 33 368.5 442.36 4.687 2.000 49.35 0.0077 0.06445 385 33 388.6 442.377 4.645 2.200 53.05 0.0079 0.05844 403.4 34 407.4 442.434 4.606 2.400 56.5 0.008 0.0534 420.7 33 425. 442.487 4.57 2.600 59.75 0.0083 0.049 437.2 33 44.9 44.537 4.537 2.800 62.82 0.0085 0.0454 452.8 32 458 439.584 4.505 3.000 65.72 0.0087 0.0427 467.7 3 473.3 438.628 4.475 3.500 72.4 0.0092 0.03566 502.6 308 509.3 433.73 4.404 4.000 78.4 0.0096 0.0307 534.7 305 542.6 427.823 4.34 4.500 83.86 0.0020 0.0268 564.6 300 573.7 420.908 4.28 5.000 88.88 0.00206 0.02365 592.9 294 603.2 42.987 4.223 5.500 93.54 0.002 0.0203 69.8 288 63.4 403 2.062 4.67 6.000 97.89 0.0026 0.0882 645.6 280 658.6 393 2.33 4.3 6.500 02 0.00222 0.0693 670.7 272 685. 382 2.20 4.06 7.000 05.8 0.00228 0.0527 695.2 263 7.2 370 2.267 4.006 7.500 09.4 0.00234 0.038 79.4 253 736.9 357 2.332 3.95 8.000 2.9 0.0024 0.025 743.3 242 762.6 342 2.395 3.895 8.500 6.2 0.00249 0.032 767.4 229 788.5 325 2.459 3.837 9.000 9.3 0.00257 0.0023 79.9 24 85 306 2.524 3.775 9.500 22.3 0.00268 0.0092 87.4 97 842.8 284 2.59 3.708 0.000 25.2 0.0028 0.00823 844.8 76 872.8 259 2.663 3.632 0.500 27.9 0.00298 0.00724 876.2 50 907.5 226 2.746 3.54 a-4

R77 Ammoniaca: Liquido compresso e vapore surriscaldato. R77 p = 0.06 [MPa] -50.00 0.0042-73.56-73.47-0.372-40.00.863 249 36 5.924-30.00.949 266 383 6.06-20.00 2.034 282 404 6.03-0.00 2.9 299 426 6.86 0.0 2.203 35 447 6.266 0.00 2.286 33 468 6.342 20.00 2.369 348 490 6.46 30.00 2.452 364 5 6.488 40.00 2.535 380 532 6.557 50.00 2.68 397 554 6.625 60.00 2.700 44 576 6.69 70.00 2.782 430 597 6.755 80.00 2.864 447 69 6.88 90.00 2.946 465 64 6.880 00.0 3.028 482 664 6.940 0.0 3.0 499 686 6.999 20.0 3.92 57 708 7.057 40.0 3.356 553 754 7.70 50.0 3.437 57 777 7.226 60.0 3.59 589 80 7.280 70.0 3.60 608 824 7.334 80.0 3.682 627 848 7.387 90.0 3.764 646 872 7.439 200.0 3.846 665 896 7.490 R77 p = 0.08 [MPa] -50.00 0.0042-73.57-73.46-0.373-40.00 0.0045-29.7-29.59-0.25-30.00.454 264 380 5.867-20.00.59 28 402 5.956-0.00.583 297 424 6.04 0.0.647 34 445 6.2 0.00.7 330 467 6.98 20.00.773 347 488 6.272 30.00.836 363 50 6.344 40.00.898 380 53 6.44 50.00.96 396 553 6.482 60.00 2.022 43 575 6.548 70.00 2.084 430 597 6.63 80.00 2.46 447 69 6.676 90.00 2.208 464 64 6.738 00.0 2.269 48 663 6.798 0.0 2.33 499 685 6.858 20.0 2.392 57 708 6.96 40.0 2.55 552 754 7.029 50.0 2.577 57 777 7.084 60.0 2.638 589 800 7.39 70.0 2.699 608 824 7.93 80.0 2.76 627 847 7.246 90.0 2.822 646 87 7.298 200.0 2.883 665 895 7.349 R77 p = 0. [MPa] -50.00 0.0042-73.58-73.44-0.373-40.00 0.0045-29.72-29.57-0.25-30.00.57 262 377 5.749-20.00.2 279 400 5.84-0.00.262 296 422 5.925 0.0.34 32 444 6.007 0.00.365 329 465 6.085 20.00.45 346 487 6.6 30.00.466 362 509 6.233 40.00.56 379 530 6.303 50.00.566 396 552 6.37 60.00.66 42 574 6.438 70.00.665 429 596 6.502 80.00.75 446 68 6.566 90.00.764 464 640 6.628 00.0.84 48 662 6.688 0.0.863 498 685 6.748 20.0.92 56 707 6.806 40.0 2.0 552 753 6.99 50.0 2.06 570 776 6.975 60.0 2.09 589 800 7.029 70.0 2.58 607 823 7.083 80.0 2.208 626 847 7.36 90.0 2.257 645 87 7.88 200.0 2.306 665 895 7.24 R77 p = 0.2 [MPa] -50.00 0.0042-73.63-73.35-0.376-40.00 0.0045-29.77-29.48-0.253-30.00 0.0048 4.6 4.9 0.062-20.00 0.005 59.49 59.79 0.242-0.00 0.693 288 42 5.557 0.0 0.6465 306 435 5.644 0.00 0.6732 323 458 5.726 20.00 0.6995 34 48 5.805 30.00 0.7255 358 503 5.88 40.00 0.752 375 525 5.952 50.00 0.7768 392 547 6.022 60.00 0.8022 409 570 6.09 70.00 0.8275 427 592 6.56 80.00 0.8527 444 64 6.22 90.00 0.8778 46 637 6.283 00.0 0.9028 479 659 6.344 0.0 0.9278 496 682 6.404 20.0 0.9527 54 705 6.463 40.0.002 550 75 6.577 50.0.027 569 774 6.633 60.0.052 587 798 6.688 70.0.077 606 82 6.742 80.0.0 625 845 6.795 90.0.26 644 869 6.847 200.0.5 663 894 6.899 a-5

R77 p = 0.4 [MPa] -50.00 0.0042-73.74-73.7-0.38-40.00 0.0045-29.89-29.3-0.258-30.00 0.0047 4.48 5.07 0.06057-20.00 0.005 59.34 59.95 0.244-0.00 0.0053 04.7 05.3 0.472 0.0 0.322 29 46 5.252 0.00 0.327 3 442 5.345 20.00 0.342 330 467 5.43 30.00 0.355 349 49 5.5 40.00 0.3688 367 55 5.588 50.00 0.3822 385 538 5.662 60.00 0.3955 403 56 5.732 70.00 0.4086 42 584 5.80 80.00 0.426 439 607 5.867 90.00 0.4345 456 630 5.93 00.0 0.4473 474 653 5.994 0.0 0.460 492 676 6.055 20.0 0.4728 5 700 6.5 40.0 0.498 547 746 6.23 50.0 0.507 566 770 6.287 60.0 0.5232 584 794 6.343 70.0 0.5358 603 88 6.397 80.0 0.5483 622 842 6.45 90.0 0.5607 642 866 6.504 200.0 0.5732 66 890 6.556 R77 p = 0.6 [MPa] -50.00 0.0042-73.85-72.99-0.385-40.00 0.0045-30.0-29.4-0.263-30.00 0.0047 4.34 5.23 0.06003-20.00 0.005 59.2 60. 0.2409-0.00 0.0053 04.5 05.5 0.466 0.0 0.0057 50.4 5.3 0.5877 0.00 0.2 298 425 5.099 20.00 0.225 39 452 5.94 30.00 0.235 339 478 5.28 40.00 0.24 359 503 5.363 50.00 0.2505 378 528 5.44 60.00 0.2598 396 552 5.55 70.00 0.2689 45 576 5.585 80.00 0.2778 433 600 5.654 90.00 0.2867 452 624 5.72 00.0 0.2955 470 647 5.784 0.0 0.3042 488 67 5.846 20.0 0.328 507 694 5.907 40.0 0.33 544 742 6.025 50.0 0.3385 563 766 6.082 60.0 0.347 582 790 6.38 70.0 0.3555 60 84 6.93 80.0 0.3639 620 838 6.247 90.0 0.3723 639 863 6.3 200.0 0.3807 659 887 6.353 R77 p = 0.8 [MPa] -50.00 0.0042-73.95-72.8-0.39-40.00 0.0045-30.3-28.97-0.268-30.00 0.0047 4.2 5.39 0.05948-20.00 0.005 59.05 60.25 0.2403-0.00 0.0053 04.4 05.6 0.46 0.0 0.0057 50.2 5.5 0.587 0.00 0.006 96.6 97.9 0.754 20.00 0.64 307 436 5.0 30.00 0.694 329 465 5.07 40.00 0.772 350 492 5.94 50.00 0.846 370 58 5.276 60.00 0.99 390 543 5.353 70.00 0.989 409 568 5.427 80.00 0.2059 428 593 5.498 90.00 0.227 447 67 5.565 00.0 0.295 465 64 5.63 0.0 0.2262 484 665 5.695 20.0 0.2328 503 689 5.757 40.0 0.2459 54 737 5.876 50.0 0.2524 560 76 5.934 60.0 0.2589 579 786 5.99 70.0 0.2653 598 80 6.046 80.0 0.277 67 835 6.0 90.0 0.278 637 859 6.55 200.0 0.2844 656 884 6.208 R77 p = [MPa] -50.00 0.0042-74.06-72.64-0.395-40.00 0.0045-30.25-28.8-0.273-30.00 0.0047 4.08 5.55 0.05894-20.00 0.005 58.9 60.4 0.2397-0.00 0.0053 04.2 05.7 0.454 0.0 0.0057 50 5.6 0.5864 0.00 0.006 96.4 98 0.7533 20.00 0.0064 243.4 245. 0.966 30.00 0.32 38 450 4.96 40.00 0.387 34 479 5.055 50.00 0.45 362 507 5.42 60.00 0.5 383 534 5.223 70.00 0.569 403 560 5.3 80.00 0.627 422 585 5.372 90.00 0.683 442 60 5.442 00.0 0.739 46 635 5.5 0.0 0.794 480 659 5.575 20.0 0.848 499 684 5.638 30.0 0.90 58 708 5.699 40.0 0.955 537 733 5.759 50.0 0.2007 556 757 5.88 60.0 0.206 576 782 5.875 70.0 0.22 595 806 5.93 80.0 0.264 65 83 5.986 90.0 0.225 634 856 6.04 200.0 0.2267 654 88 6.094 a-6

R77 p = 2 [MPa] -50.00 0.0042-74.59-7.74-0.328-40.00 0.0045-30.84-27.94-0.299-30.00 0.0047 3.42 6.37 0.05623-20.00 0.005 58.7 6.7 0.2368-0.00 0.0053 03.4 06.5 0.422 0.0 0.0056 49. 52.2 0.583 0.00 0.006 95.4 98.6 0.7496 20.00 0.0064 242.3 245.6 0.926 30.00 0.0068 289.9 293.3.073 40.00 0.0072 338.5 342.23 50.00 0.06473 35 445 4.652 60.00 0.06875 343 480 4.76 70.00 0.07246 368 53 4.858 80.00 0.07595 392 544 4.946 90.00 0.07928 44 573 5.028 00.0 0.08248 436 60 5.04 0.0 0.08558 458 629 5.77 20.0 0.0886 479 656 5.247 30.0 0.0957 499 682 5.33 40.0 0.09447 520 709 5.378 50.0 0.09733 540 735 5.44 60.0 0.002 56 76 5.50 70.0 0.029 58 787 5.56 80.0 0.057 60 83 5.68 90.0 0.084 622 839 5.675 200.0 0. 642 864 5.73 R77 p = 4 [MPa] -50.00 0.0042-75.63-69.95-0.3265-40.00 0.0045-32 -26.22-0.349-30.00 0.0047 2.2 8.0 0.05086-20.00 0.005 56.72 62.72 0.23-0.00 0.0053 0.8 07.9 0.406 0.0 0.0056 47.3 53.6 0.5764 0.00 0.0059 93.4 99.7 0.7424 20.00 0.0063 240 246.5 0.9048 30.00 0.0067 287.3 294.064 40.00 0.0072 335.5 342.4.22 50.00 0.0077 384.8 39.8.376 60.00 0.0083 435.5 442.8.532 70.00 0.009 488.2 495.8.688 80.00 0.037 3 436 4.364 90.00 0.03379 347 482 4.493 00.0 0.03609 378 522 4.602 0.0 0.0388 406 559 4.699 20.0 0.0403 432 593 4.787 30.0 0.0498 458 625 4.869 40.0 0.04374 482 657 4.945 50.0 0.04544 505 687 5.07 60.0 0.04709 528 76 5.086 70.0 0.04869 55 745 5.53 80.0 0.05026 573 774 5.27 90.0 0.0579 595 802 5.278 200.0 0.0533 67 83 5.338 R77 p = 6 [MPa] -50.00 0.0042-76.66-68.4-0.332-40.00 0.0044-33.5-24.49-0.399-30.00 0.0047 0.84 9.66 0.04555-20.00 0.005 55.3 64.28 0.2254-0.00 0.0053 00.2 09.4 0.4 0.0 0.0056 45.5 54.9 0.5698 0.00 0.0059 9.4 200.9 0.7353 20.00 0.0063 237.8 247.5 0.897 30.00 0.0067 284.8 294.8.056 40.00 0.007 332.6 342.8.22 50.00 0.0076 38.4 39.9.366 60.00 0.0082 43.5 442.3.59 70.00 0.0088 483.3 494.6.674 80.00 0.0096 537.6 549.3.83 90.00 0.00206 595.6 607.9.995 00.0 0.0938 292 408 4.53 0.0 0.026 338 468 4.3 20.0 0.02346 375 56 4.434 30.0 0.02508 408 558 4.54 40.0 0.02656 438 597 4.636 50.0 0.02794 465 633 4.722 60.0 0.02924 492 668 4.803 70.0 0.03049 58 70 4.878 80.0 0.0368 543 733 4.95 90.0 0.03284 567 764 5.08 200.0 0.03396 59 795 5.084 R77 p = 8 [MPa] -50.00 0.0042-77.68-66.34-0.3358-40.00 0.0044-34.29-22.76-0.448-30.00 0.0047 9.579 2.3 0.04029-20.00 0.0049 53.89 65.84 0.298-0.00 0.0052 98.64 0.8 0.394 0.0 0.0055 43.8 56.2 0.5634 0.00 0.0059 89.4 202. 0.7284 20.00 0.0062 235.6 248.6 0.8895 30.00 0.0066 282.3 295.6.047 40.00 0.007 329.7 343.4.202 50.00 0.0075 378. 392..356 60.00 0.008 427.6 442..508 70.00 0.0087 478.6 493.6.66 80.00 0.0094 53.8 547.3.84 90.00 0.00203 587.9 604.2.973 00.0 0.0025 648.9 666. 2.4 0.0 0.00233 79.3 737.9 2.33 20.0 0.0432 293 407 4.064 30.0 0.067 344 473 4.229 40.0 0.0767 384 525 4.358 50.0 0.0899 49 57 4.467 60.0 0.0208 45 63 4.564 70.0 0.0228 48 65 4.652 80.0 0.02232 509 688 4.733 90.0 0.0233 536 723 4.8 200.0 0.02425 563 757 4.882 a-7