Hidrológiai Közlöny 1949 (29. évfolyam)

11-12. szám - Értekezések. - PAPP SZILÁRD dr: A víz pH értékének pontos kiszámítása

Tabelle II. értékeinek megfelelő szabad szénsav (C0 2 mg/l) (6.80 , 6.90 1 7.IHI 7.10 7.211 \ ! i 7.311 1 7.40 7.50 7.60 I 7.70 7.89 7.9(1 I 8.00 8.10 : 8.20 8.30 8.4(1 II II 3.32 2.48 1.81 1.24 0.86 0.52 0.26 0.05 0 1 7.Ilii ."> 41 4.07 3.01 2.17 1.50 (1.97 (1.54 0.21 0 \— — — — —. — — 10.9 S.43 fi.42 4.83 3.5(1 2.55 1.75 1.11 0.61 0.21 0 — — — — — — 14.8 11.4 8.78 fi.65 4.117 3.03 2.56 1.72 1.04 0.51 0.09 0 — — — = — 18.7 14.."> 11.2 8.53 0.42 4.74 3.41 2.35 1.51 0.85 0.32 9 - — — — 22.fi 17.fi I3.fi 10.4 7.S8 5.87 4.28 3.01 2 00 1.20 0.56 0.06 0 •-*- — — 2fi.fi 211.7 Ifi.II 12.3 '.i.:r> 7.01 5.14 3.66 2.49 1.56 0.81 0.22 9 — — — 3:1.5 23.8 IX. 5 14.2 10.8 8.1(1 6.03 4.34 3.00 1.93 1.08 0.41 0 34.7 27.H 21.0 Ifi.2 12.4 9.35 6.95 5.04 3.53 2.32 1.37 0.61 0.(11 0 38.5 39. 1 23.4 1 IX. 1 13.8 10.5 7.83 5.72 4.04 2.711 1.64 0.89 0.13 11 — 42-5 33.2 25.Ü 20.0 15.4 11.7 8.75 (Í.42 4-57 3.10 1.94 1.01 0.27 0 — — — 4fi.4 30.3 28.3 21.9 1 11.9 12.8 9.65 7.11 5.10 3.59 2.23 1.22 11.42 II — — — 5 >-4 39.5 31.« 23.9 18.4 .14.11 lll.fi 7.83 5.64 3.91 2.53 1.44 0.57 0 — — 54-4 42.fi 33.2 25.8 19.9 15.2 11.5 8.54 (1.19 4.32 2.84 l.fiO 0.72 0 — — 58-4 45.7 35.7 27-* 21.4 1(1.4 12.4 9.25 6.73 4.73 3.14 1.87 0.87 0.08 11 62-5 49.O 38.3 29-8 23.11 17.7 13.4 19.0 7.31 5.17 3.47 2.12 1-115 0.211 0 — 66-5 52.1 4 1.8 31-7 24.5 18.8 14.3 10.7 7.85 5.58 3.78 2.34 1-20 0.3 1 (1 711.3 55.2 43.2 33-0 26.0 20.0 15.2 11.4 8.39 5.99 4.I1X 2.57 1-36 0.41 II — — 74.4 58.4 15.7 35.0 27.fi 21.2 16.2 12.1 8.96 fi. 42 4.41 2.81 1-54 0.53 0 78.4 fii.5 48.2 37.6 29.1 22.4 17.1 12.9 9.51 (1.84 4.72 3.04 1-iO 0.64 II — 82.3 114.7 51.11 39-5 3 1.(1 23.6 18.0 13.fi 10.1 7-26 5.01 3.27 1-87 0.75 11 80.9 118.3 53.5 ; 41-7. 32.4 25.0 19.1 14.4 10.7 7.76 5.4.' 3.55 2.07 0.99 0 91.5 71-11 ."5.7 1 43-5 33.K 2(1.1 19.9 15.1 11.2 8.15 5.71 3.77 2.23 1-01 0.04 0 94-4 74.•> .">8.1 45-4 35.3 •>7.3 29.9 15.8 11.8 8.57 6.03 4.91 2-4 1 1.13 (1.12 9 — 98-4 77-4 IH-7 47.4 36.9 28.5 21.X 16.5 12.4 9.01 fi.36 4.26 2-59 1-26 0.20 II 102-5 Xl.fi 03-2 49.4 38.4 29.7 22.8 17.3 12.9 9.46 6.7(1 4-51 2-77 1-39 (1.39 0 — 106-7 83-9 65-8 514 40.0 31.0 23.8 18.1 13.5 9-91 7.(15 4.77 2-911 1-53 0-39 0 — 111-5 86-9 68-2 53-3 41.5 32.1 24.7 18.8 14.1 10-3 7.37 5-01 3-14 1-65 0-47 0 — 114-4 90.0 70.fi 55-3 43.11 33.3 25.6 19.5 14.6 19-8 7.69 5.25 3-31 1-77 O.55 II — 118-5 93-3 73-2 57-3 44.6 34.fi 26.6 29.2 15.2 11-2 8.113 5-51 3-59 1-91 0-65 0 122-8 9fi.fi 75.9 59-4 46.3 35-9 27.6 21.(1 15.8 11-7 8.41 5.78 3-71 2-06 0-75 0 126-5 99.fi 78.2 61-2 47.7 37.0 28.5 21.7 16.4 12-1 8.72 fi.03 3-89 2-19 9-84 0 1311-8 1II3-II 8l.il 63-3 49-4 38.3 29.5 22.5 17.0 12-6 9. (IX fi .30 4-1:9 2-34 O.94 II 134.8 106-2 83.4 (j5-3 .">1.9 39.5 30.5 23.3 17.6 13-0 9.42 6-56 4-28 2-47 1-04 (1 — 138.6 109-2 85.8 67-2 52.4 40.7 31.4 24.0 18.1 13-4 9 . 74 11-89 4 - 4 6 2-61 1-12 0 142.6 U2-3 88.3 119-1 54.0 41.9 3.'. 3 24.7 18.7 13-9 19.1 7-95 4-65 2-74 1-22 0.02 11 147.11 1ir>-,S 91.11 , 71-3 55.7 43.3 33.4 25.6 19.3 14-4 10.5 7-35 4-87 2-9 1 1-34 0.10 II 151.8 ! jK*H 93.4 73-2 57.2 44.4 34.3 26-3 19.9 14-8 19-8 7.59 5-1:5 3-93 1-42 0.15 0 158.8 l-)2-0 95.9 . 75-1 58.7 4.5.6 35.3 27-0 29.5 15-3 11.1 7.85 5-24 3-27 1-52 0.27 II 156.8 125-1 98.4 77-1 fii.3 46.9 31.2 •27.8 21.(1 15-7 11.5 8.11 5-44 3-31 1-65 0.29 0 163-0 1-28-:. llll.11 79-2 61.9 48.2 37.3 28.6 21.7 16-2 11.9 8.39 5-64 3-4(1 1-73 0.36 II 166-8 131-5 103.4 81-1 63.4 49.3 38.6 29.3 22.2 16-6 12.2 8.63 5-82 3-59 1-82 0.41 0 171-1 134.9 1116.1 83-2 65.0 5I.6 39.2 30.1 22.8 17-1 12.5 8.93 fi-1'5 3-76 1-94 0.50 (1 175-2 I38.1 1:8.7 85-3 (Ifi.7 51-9 4 1.2 3>.9 23.5 17.6 12.9 9.19 fi-25 3-91 2-(5 0.57 (1 178-9 I4I.0 110.9 87-1 68.1 53.ll -ll.il 31 5 24 0 18.0 13.2 9-43 (1-42 4*04 2-1-1 0.63 II 183-2 I44.4 113.6 89.2 69.8 54-! 42.1 32.4 24.6 18.5 13.6 9-71 6-63 4 19 2-25 0.71 II 187-11 I47.5 116.(1 91.1 71.3 5-5-5 43.0 33.1 25.2 18.9 13.9 ll.o 6-83 4 31 2-36 0.78 II 191-4 I5O.9 118.8 93-2 72.9 56.8 44.0 33.9 25.8 19.4 14.3 19.2 7-06 4*51 2'47 0.86 II 195-n 153.8 121.1 95.1 74.4 58.11 44.9 34.6 26.4 19.8 15.0 10.5 7-23 4 (13 2-56 0.92 II 199-1 157.1 121.6 97.1 711.11 59.2 45.9 35.3 26.9 2.1.3 15.11 19.8 7-44 4*79 2'fi8 1.09 II 203-4 lfi0.5 12(1.3 99.2 77.7 69.6 47.0 36.2 27.(1 20.8 15.4 ll-l 7-611 4-95 2'89 1.09 (i 217-2 1«3.4 128.7 101.1 79.1 61.7 47.9 36.9 28.1 21.2 15.7 11-3 7-85 5*09 2'89 1.15 11 211-2 166.6 131-2 103.0 ; 8 1.7 62.9 48.8 37.fi 28.8 21.7 lfi.1 11-6 8.115 5"23 3*00 1.22 11 • 215-6 17M 133-9- 105.2 82.4 64.3 49.9 38.5 29.4 22.2 16.4 11 • 9 8.27 5-49 3'12 1.31 II 219-7 173.-1 136-5 107.3 84.11 115.6 59.9 39.3 30.(1 22.7 16.8 12.2 8.48 5'56 3'23 1.39 11 223-7 176-'' I38.7 1119.0 85.4 fifi.fi 51.7 39.9 30.5 23.0 17.1 12-4 8.(ifi 5 169 3'33 1.45 11 227-5 179-11 141-4 111.1 s7.1 G8.li 52.8 49.8 31.2 23.6 17.5 12-7 8.88 5'85 3'45 1.54 0.02 211-8 182-9 144-1 113.2 88.7 (19.3 53.8 41.5 31.8 24-0 17.9 13-0 ii.ll 6*02 3*57 1.63 0.08 235-6 186-11 14H-5 115.2 90.3 70.5 54.8 42.3 32.4 24-5 18.2 13-3 9.3 1 6*17 3'fiS 1.70 0.13 2(9.5 189.11 148.x U7.il 91.7 71.6 55.7 43.0 33.8 24-9 18.5 13-5 9.49 fi'31 3'78 1.77 0.18 248.0 195-7 154-2 121.2 95.1 74.2 57.7 44.6 34.2 25-9 19.3 14-1 9.94 fi'64 4'03 1.94 0.29 255.6 211-7 159.0 125.0 j 98.11 76.6 59.6 46.O 35.3 26-8 20.0 14-6 3(1.3 6'93 4'23 2.09 0.39 264.1 2 18-5 164-3 129.2 101.3 79.2 fii.6 47.6 36.5 27-7 20.7 15-2 19.8 7'27 4'48 2.27 0.52 272.2 214-9 169.4 133.2 104.5 81.7 63.6 49.2 37.8 28-7 21.5 15-7 11.2 7'58 4-71 2.43 0.62 279-9 221-0 174-2 137.1 107.5 84.1 65.4 5l.fi 38.9 29-6 22.1 16-2 11.6 7'89 4-93 2.59 0.72 288.5 227-X 179-6 141.3 110.9 86.4 67.5 5'2.3 41.2 39-5 22.9 16-8 12.0 8*23 5-19 2.77 0.85 296-1 2:13-8 184-4 145.1 113.9 89.1 69.4 53.8 41.4 31-5 23.7 17-4 -12.5 8'52 5.40 2.92 0.95 3 4-5 24 1-5 189-d 149.3 117.2 91.7 71.5 55.4 42 6 32-5 24.4 18-9 12.9 8*86 5.65 3.10 1.08 312-4 246-7 194-6 153.2 1 12 1.3 94.1 73.4 56.9 4 1-8 33-4 25.1 18-5 13.3 9'17 5.88 3.26 1.19 32 '-4 253-1 199-6 , 157.2 . 123.4 96.(1 75.3 58.4 45.(1 34-3 25-8 19-1 13.7 9*59 fi.12 3.44 1.31 328-7 259-7 2 4-8 1(11.3 12(1.7 99.2­77.3 fiO.O 46.2 35-3 26.6 19-7 14.2 9'83 6.37 3.62 1.43 336-5 265-8 219-7 165.1 129.7 101.5 79.2 01.4 47.3 36-1 27.3 20-2 14.6 19.1 6.59 3.77 1.54 345-2 271-8 215-1 169.4 133.1 104.-2 81.3 63.1 48.6 37-2 28-11 29-fi 15.0 10.5 fi.86 3.97 1.68 353-3 279-1 221-2 173.4 136.2 106.7 83.3 64.6 49.8 38-1 28.8 21.3 15.4 10.8 7.09 4.14 1.80 361-8 285-2 225-0 177-2 139.3 119.5 85.2 66.1 5l.ll 39-0 29.5 21.9 15.9 11.1 7.32 4.311 1.91 369-3 291-8 231-3 181-4 142.6 111.7 87.2 67.8 52.3 40-9 30.3 22.5 16.4 11.5- 7.58 4.49 2.04 377-1 298-0 235-2 185.3 145.6 114.1 89.1 69.2 53.4 49-9 31.0 23.0 10.8 11.8 7.81 4.66 2.16 385.(1 3:14.3 240-1 189.2 148.7 11(1.6 91.0 70.7 54.6 41-8 31.7 23.6 17.2 12.1 8.15 4.84 2.28 393-2 31 1.7 245-2 193.2 151.9 119.1 93.0 72.3 55.8 42-8 32.4 24.1 17.6 12.4 8.30 5.02 2.41 431.6 317.4 259-5 197.4 155.2 121.7 95.1 74.0 57.2 43.8 33.2 24.8 18.1 12.8 8.55 5.20 2.54 dúltam ki, amelyből kifejezve a szabad szén­savtartalmat kapjuk, hogy s = num. log 16'517 + log 2 k — pH) — - num. íog ( lo íV A - 0 559J 9) A táblázatban a karbonát keménységét 0.5-től 30-ig félfokonként, majd 30-tól 50-ig egészfokon­ként haladva vettem számításba. A karbonát­keménység mellett még a kötött szénsavtartal­mat és a lúgosságot is feltüntettem. A táblázat azt is mutatja, hogy a 9) egyenlettel számított szabad szénsavmennyiségek mindazon pH ér­tékű oldatokban, amelyek a megfelelő tömény­ségű szénsavmentes kálciumhidrokarbonát­oldatok pH értékeinél magasabbak (1.2) 0-nak .329

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