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Table 1 Predicted pH vs. Measured pH

From: Defining the buffering process by a triprotic acid without relying on stewart-electroneutrality considerations

[H+]i mol/L

[OH-]i mol/L

K'w

K'1

K'2

K'3

[H3A]i mol/L

[HA-2]i mol/L

[A-3]i mol/L

Atot mol/L

Predicted [H+]e

Predicted pHe

Measured pHe

9.9900E-04

1.2870E-05

1.2206E-14

9.2591E-03

7.5261E-08

5.8421E-13

1.2702E-11

9.8598E-03

6.0795E-06

9.9900E-03

9.3446E-09

8.03

7.92

9.9802E-04

8.3093E-07

1.2128E-14

9.2003E-03

7.4783E-08

5.8050E-13

1.7940E-09

8.6018E-03

4.1684E-07

9.9800E-03

2.3305E-08

7.63

7.57

9.9704E-04

3.6692E-07

1.2055E-14

9.1447E-03

7.4331E-08

5.7699E-13

7.9068E-09

7.3044E-03

1.5537E-07

9.9701E-03

4.3085E-08

7.37

7.32

9.9606E-04

2.0872E-07

1.1988E-14

9.0941E-03

7.3920E-08

5.7380E-13

2.0475E-08

6.0547E-03

7.2865E-08

9.9602E-03

7.1549E-08

7.15

7.12

9.9510E-04

1.3056E-07

1.1930E-14

9.0498E-03

7.3559E-08

5.7100E-13

4.2642E-08

4.8869E-03

3.6612E-08

9.9502E-03

1.1446E-07

6.94

6.92

9.9416E-04

8.3333E-08

1.1877E-14

9.0099E-03

7.3236E-08

5.6849E-13

8.1648E-08

3.7791E-03

1.7993E-08

9.9404E-03

1.8817E-07

6.73

6.72

9.9324E-04

5.1978E-08

1.1831E-14

8.9747E-03

7.2949E-08

5.6627E-13

1.5335E-07

2.7402E-03

8.1067E-09

9.9305E-03

3.4187E-07

6.47

6.48

9.9239E-04

3.0170E-08

1.1792E-14

8.9450E-03

7.2708E-08

5.6439E-13

2.9964E-07

1.7922E-03

3.0675E-09

9.9206E-03

8.2868E-07

6.08

6.15

9.9168E-04

1.6510E-08

1.1773E-14

8.9309E-03

7.2593E-08

5.6350E-13

5.9702E-07

1.0652E-03

9.9569E-10

9.9108E-03

7.9634E-06

5.10

5.32

9.9487E-04

2.0932E-09

1.1795E-14

8.9472E-03

7.2725E-08

5.6453E-13

5.2047E-06

1.4838E-04

1.7534E-11

9.9010E-03

4.1477E-04

3.38

3.37

1.4202E-03

2.3151E-11

1.1817E-14

8.9638E-03

7.2860E-08

5.6558E-13

4.5503E-04

1.5900E-06

2.0801E-15

9.8912E-03

9.3769E-04

3.03

3.00

1.9900E-03

9.9614E-12

1.1840E-14

8.9816E-03

7.3005E-08

5.6670E-13

9.9425E-04

6.4561E-07

3.6409E-16

9.8814E-03

1.5388E-03

2.81

2.79

2.5934E-03

6.2133E-12

1.1865E-14

9.0006E-03

7.3160E-08

5.6790E-13

1.4988E-03

3.8016E-07

1.3399E-16

9.8717E-03

2.1727E-03

2.66

2.65

3.2163E-03

4.4753E-12

1.1892E-14

9.0208E-03

7.3324E-08

5.6917E-13

1.9597E-03

2.5898E-07

6.5889E-17

9.8619E-03

2.8245E-03

2.55

2.54

3.8914E-03

3.4342E-12

1.1920E-14

9.0421E-03

7.3497E-08

5.7052E-13

2.4023E-03

1.8779E-07

3.6744E-17

9.8522E-03

3.5284E-03

2.45

2.45

4.5699E-03

2.7834E-12

1.1949E-14

9.0641E-03

7.3676E-08

5.7191E-13

2.7966E-03

1.4429E-07

2.2936E-17

9.8425E-03

4.2333E-03

2.37

2.37

5.2942E-03

2.3151E-12

1.1979E-14

9.0871E-03

7.3862E-08

5.7335E-13

3.1711E-03

1.1375E-07

1.5077E-17

9.8328E-03

4.9831E-03

2.30

2.30

5.9749E-03

1.9991E-12

1.2009E-14

9.1100E-03

7.4049E-08

5.7480E-13

3.4854E-03

9.3674E-08

1.0747E-17

9.8232E-03

5.6856E-03

2.25

2.24

6.7136E-03

1.7411E-12

1.2041E-14

9.1338E-03

7.4242E-08

5.7631E-13

3.7922E-03

7.7712E-08

7.7855E-18

9.8135E-03

6.4459E-03

2.19

2.18

7.5241E-03

1.5252E-12

1.2073E-14

9.1587E-03

7.4444E-08

5.7787E-13

4.0941E-03

6.4726E-08

5.6956E-18

9.8039E-03

7.2775E-03

2.14

2.13

8.3216E-03

1.3593E-12

1.2106E-14

9.1835E-03

7.4647E-08

5.7944E-13

4.3602E-03

5.5049E-08

4.3289E-18

9.7943E-03

8.0938E-03

2.09

2.09

9.1457E-03

1.2220E-12

1.2149E-14

9.2161E-03

7.4911E-08

5.8149E-13

4.6079E-03

4.7274E-08

3.3510E-18

9.7847E-03

8.9351E-03

2.05

2.05

9.9070E-03

1.1177E-12

1.2172E-14

9.2334E-03

7.5052E-08

5.8259E-13

4.8147E-03

4.1542E-08

2.7005E-18

9.7752E-03

9.7110E-03

2.01

2.01

1.0711E-02

1.0253E-12

1.2205E-14

9.2585E-03

7.5256E-08

5.8417E-13

5.0141E-03

3.6598E-08

2.1882E-18

9.7656E-03

1.0529E-02

1.98

1.97

1.1588E-02

9.4044E-13

1.2239E-14

9.2844E-03

7.5467E-08

5.8581E-13

5.2125E-03

3.2191E-08

1.7705E-18

9.7561E-03

1.1420E-02

1.94

1.94