lambda [nm] |
pH=2 |
pH=4,8 |
pH=5,09 |
pH=6,09 |
pH=7,06 |
pH=8,6 |
pH=10 |
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400,000 |
1,7283000 |
0,84205000 |
0,705010 |
0,523530 |
0,54547 |
1,8868 |
-0,825650 |
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410,010 |
1,9322000 |
0,94533000 |
0,734920 |
0,454380 |
0,46578 |
1,8107 |
-0,905800 |
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420,020 |
2,0710000 |
1,01790000 |
0,730690 |
0,346450 |
0,34471 |
1,6980 |
-1,029200 |
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430,030 |
2,1545000 |
1,05110000 |
0,704600 |
0,242390 |
0,22941 |
1,5903 |
-1,146300 |
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440,040 |
2,1298000 |
1,03540000 |
0,667730 |
0,177040 |
0,15839 |
1,5227 |
-1,216700 |
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450,050 |
2,0124000 |
0,97317000 |
0,622880 |
0,155530 |
0,13734 |
1,4995 |
-1,234400 |
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460,060 |
1,8155000 |
0,87270000 |
0,569350 |
0,164730 |
0,15157 |
1,5084 |
-1,215200 |
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470,080 |
1,5610000 |
0,74666000 |
0,510110 |
0,194540 |
0,18906 |
1,5380 |
-1,171200 |
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480,090 |
1,2822000 |
0,61178000 |
0,452310 |
0,239520 |
0,24331 |
1,5833 |
-1,109200 |
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490,100 |
1,0067000 |
0,48025000 |
0,402590 |
0,299070 |
0,31346 |
1,6427 |
-1,030400 |
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500,110 |
0,7571200 |
0,36244000 |
0,367620 |
0,374690 |
0,40042 |
1,7171 |
-0,933620 |
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510,120 |
0,5477900 |
0,26454000 |
0,351260 |
0,466750 |
0,50412 |
1,8077 |
-0,818450 |
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520,130 |
0,3815600 |
0,18819000 |
0,354820 |
0,577110 |
0,62667 |
1,9146 |
-0,686580 |
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530,140 |
0,2561600 |
0,13162000 |
0,378230 |
0,707140 |
0,76987 |
2,0403 |
-0,534270 |
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540,150 |
0,1665100 |
0,09295400 |
0,421380 |
0,859510 |
0,93661 |
2,1875 |
-0,355950 |
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550,160 |
0,1056700 |
0,06878200 |
0,482310 |
1,034200 |
1,12780 |
2,3544 |
-0,151690 |
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560,170 |
0,0663170 |
0,05535000 |
0,559130 |
1,231100 |
1,34210 |
2,5462 |
0,077298 |
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570,180 |
0,0417400 |
0,04963000 |
0,647160 |
1,443700 |
1,57530 |
2,7497 |
0,324280 |
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580,190 |
0,0269670 |
0,04884700 |
0,741620 |
1,664000 |
1,81840 |
2,9602 |
0,579990 |
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590,200 |
0,0185570 |
0,05153000 |
0,843040 |
1,895000 |
2,07400 |
3,1848 |
0,847910 |
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600,210 |
0,0137950 |
0,05595700 |
0,947080 |
2,127700 |
2,33210 |
3,4074 |
1,115200 |
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610,220 |
0,0109850 |
0,05959100 |
1,025200 |
2,299800 |
2,52440 |
3,5637 |
1,313400 |
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620,230 |
0,0094997 |
0,05922600 |
1,027000 |
2,304300 |
2,53070 |
3,5628 |
1,326000 |
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630,250 |
0,0087175 |
0,05186700 |
0,916280 |
2,060700 |
2,25980 |
3,3252 |
1,060100 |
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640,260 |
0,0081133 |
0,03914700 |
0,715950 |
1,614500 |
1,76710 |
2,8948 |
0,561020 |
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650,270 |
0,0078315 |
0,02480500 |
0,489210 |
1,107500 |
1,20930 |
2,3950 |
-0,012844 |
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660,280 |
0,0077748 |
0,01273500 |
0,296630 |
0,675890 |
0,73707 |
1,9722 |
-0,503720 |
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670,290 |
0,0074549 |
0,00464530 |
0,163690 |
0,377250 |
0,41280 |
1,6790 |
-0,840160 |
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679,980 |
0,0071202 |
-0,00049225 |
0,084466 |
0,199570 |
0,22019 |
1,5036 |
-1,036400 |
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690,310 |
0,0066375 |
-0,00421310 |
0,037929 |
0,094783 |
0,10693 |
1,3986 |
-1,147900 |
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700,000 |
0,0062400 |
-0,00499000 |
0,015580 |
0,044250 |
0,05212 |
1,3466 |
-1,197800 |
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Obliczmy dziesiętny molowy współczynnik ekstynkcji dla wszystkich roztworów i dla wszystkich długości fali |
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A= ℇ∙ l∙ c |
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gdzie: ℇ- dziesiętny molowy współczynnik ekstynkcji; A –absorpcja; l- grubość warstwy; c- stężenie |
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Dzieląc A przez iloczyn lc otrzymujemy wzór: |
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ℇ = |
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c= 8,4*10-4mol/cm^3 |
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8,4E-05 |
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l=1cm |
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lambda [nm] |
pH=2 |
pH=4,8 |
pH=5,09 |
pH=6,09 |
pH=7,06 |
pH=8,6 |
pH=10 |
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400,000 |
20575,0000000 |
10024,40476190 |
8392,976190 |
6232,500000 |
6493,69048 |
22461,9048 |
-9829,166667 |
8,4E-05 |
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410,010 |
23002,3809524 |
11253,92857143 |
8749,047619 |
5409,285714 |
5545,00000 |
21555,9524 |
-10783,333333 |
8,4E-05 |
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420,020 |
24654,7619048 |
12117,85714286 |
8698,690476 |
4124,404762 |
4103,69048 |
20214,2857 |
-12252,380952 |
8,4E-05 |
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430,030 |
25648,8095238 |
12513,09523810 |
8388,095238 |
2885,595238 |
2731,07143 |
18932,1429 |
-13646,428571 |
8,4E-05 |
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440,040 |
25354,7619048 |
12326,19047619 |
7949,166667 |
2107,619048 |
1885,59524 |
18127,3810 |
-14484,523810 |
8,4E-05 |
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450,050 |
23957,1428571 |
11585,35714286 |
7415,238095 |
1851,547619 |
1635,00000 |
17851,1905 |
-14695,238095 |
8,4E-05 |
|
460,060 |
21613,0952381 |
10389,28571429 |
6777,976190 |
1961,071429 |
1804,40476 |
17957,1429 |
-14466,666667 |
8,4E-05 |
|
470,080 |
18583,3333333 |
8888,80952381 |
6072,738095 |
2315,952381 |
2250,71429 |
18309,5238 |
-13942,857143 |
8,4E-05 |
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480,090 |
15264,2857143 |
7283,09523810 |
5384,642857 |
2851,428571 |
2896,54762 |
18848,8095 |
-13204,761905 |
8,4E-05 |
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490,100 |
11984,5238095 |
5717,26190476 |
4792,738095 |
3560,357143 |
3731,66667 |
19555,9524 |
-12266,666667 |
8,4E-05 |
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500,110 |
9013,3333333 |
4314,76190476 |
4376,428571 |
4460,595238 |
4766,90476 |
20441,6667 |
-11114,523810 |
8,4E-05 |
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510,120 |
6521,3095238 |
3149,28571429 |
4181,666667 |
5556,547619 |
6001,42857 |
21520,2381 |
-9743,452381 |
8,4E-05 |
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520,130 |
4542,3809524 |
2240,35714286 |
4224,047619 |
6870,357143 |
7460,35714 |
22792,8571 |
-8173,571429 |
8,4E-05 |
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530,140 |
3049,5238095 |
1566,90476190 |
4502,738095 |
8418,333333 |
9165,11905 |
24289,2857 |
-6360,357143 |
8,4E-05 |
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540,150 |
1982,2619048 |
1106,59523810 |
5016,428571 |
10232,261905 |
11150,11905 |
26041,6667 |
-4237,500000 |
8,4E-05 |
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550,160 |
1257,9761905 |
818,83333333 |
5741,785714 |
12311,904762 |
13426,19048 |
28028,5714 |
-1805,833333 |
8,4E-05 |
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560,170 |
789,4880952 |
658,92857143 |
6656,309524 |
14655,952381 |
15977,38095 |
30311,9048 |
920,214286 |
8,4E-05 |
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570,180 |
496,9047619 |
590,83333333 |
7704,285714 |
17186,904762 |
18753,57143 |
32734,5238 |
3860,476190 |
8,4E-05 |
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580,190 |
321,0357143 |
581,51190476 |
8828,809524 |
19809,523810 |
21647,61905 |
35240,4762 |
6904,642857 |
8,4E-05 |
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590,200 |
220,9166667 |
613,45238095 |
10036,190476 |
22559,523810 |
24690,47619 |
37914,2857 |
10094,166667 |
8,4E-05 |
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600,210 |
164,2261905 |
666,15476190 |
11274,761905 |
25329,761905 |
27763,09524 |
40564,2857 |
13276,190476 |
8,4E-05 |
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610,220 |
130,7738095 |
709,41666667 |
12204,761905 |
27378,571429 |
30052,38095 |
42425,0000 |
15635,714286 |
8,4E-05 |
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620,230 |
113,0916667 |
705,07142857 |
12226,190476 |
27432,142857 |
30127,38095 |
42414,2857 |
15785,714286 |
8,4E-05 |
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630,250 |
103,7797619 |
617,46428571 |
10908,095238 |
24532,142857 |
26902,38095 |
39585,7143 |
12620,238095 |
8,4E-05 |
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640,260 |
96,5869048 |
466,03571429 |
8523,214286 |
19220,238095 |
21036,90476 |
34461,9048 |
6678,809524 |
8,4E-05 |
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650,270 |
93,2321429 |
295,29761905 |
5823,928571 |
13184,523810 |
14396,42857 |
28511,9048 |
-152,904762 |
8,4E-05 |
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660,280 |
92,5571429 |
151,60714286 |
3531,309524 |
8046,309524 |
8774,64286 |
23478,5714 |
-5996,666667 |
8,4E-05 |
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670,290 |
88,7488095 |
55,30119048 |
1948,690476 |
4491,071429 |
4914,28571 |
19988,0952 |
-10001,904762 |
8,4E-05 |
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679,980 |
84,7642857 |
-5,86011905 |
1005,547619 |
2375,833333 |
2621,30952 |
17900,0000 |
-12338,095238 |
8,4E-05 |
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690,310 |
79,0178571 |
-50,15595238 |
451,535714 |
1128,369048 |
1272,97619 |
16650,0000 |
-13665,476190 |
8,4E-05 |
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700,000 |
74,2857143 |
-59,40476190 |
185,476190 |
526,785714 |
620,47619 |
16030,9524 |
-14259,523810 |
8,4E-05 |
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Współrzędne punktu izozbestycznego wynoszą : [ 500,11;6500] |
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Następnie korzystając z dziesiętnych molowych współczynników ekstynkcji dla długości fali 540 nm obliczamy wartości stałej dysocjacji błękitu bromotymolowego. Wartości ℇHA i ℇA- obliczamy z absorpcji dla roztworów pH= 2,0 oraz pH= 10,0. |
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ℇHA = 1982,2619048 (pH 2 dla fali o długości 540nm) |
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1982,2619048 |
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ℇA- = -4237,5 (pH 10 dla fali o długości 540nm) |
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-4237,5 |
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logK = -pH + log |
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EHA-E |
E-EA- |
EHA-E/E-EA- |
log |
-pH+log= logK |
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K1=1,58·10-5 |
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875,6666667 |
5344,0952381 |
0,163856860271238 |
-0,785535371092269 |
-5,58553537109227 |
2,59695622381938E-06 |
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K2=1,27·10-6 |
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-3034,1666666 |
9253,9285714 |
0,327878764484582 |
-0,484286710094321 |
-5,57428671009432 |
2,6650986537525E-06 |
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K3=1,30·10-7 |
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-8250,0000000 |
14469,7619048 |
0,570154509401214 |
-0,244007436455098 |
-6,3340074364551 |
4,63438984169878E-07 |
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K4=2,59·10-8 |
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-9167,8571428 |
15387,61905 |
0,595794392520889 |
-0,224903588581021 |
-7,28490358858102 |
5,18915222985696E-08 |
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K5=2,82·10-9 |
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-24059,4047619 |
30279,1667 |
0,794586093690381 |
-0,099859039943102 |
-8,6998590399431 |
1,99591002740707E-09 |
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Średnia wartość stałej dysocjacji: |
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Kśr = 3,45·10-6 |
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1,15587625881355E-06 |
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Odchylenie standardowe: |
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S= 6,94·10-6 |
1,35869010815705E-06 |
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