The following table really is the full analytical solution to a titration of a weak base (B) with a strong acid (HCl). The data (volume of titrant and pH) can be copied and pasted into a program (Excel) to plot the curve. This algorithm actually uses pH as the input and finds the right volume that produces that pH. The result is a REAL looking pH curve. The curve shown is an accurate depiction of the data but read the warning.
Warning: About the plot... it does NOT auto scale. It is a static plotter right now with 0-14 for the pH (y-axis) and 0-100 mL for the volue (x-axis). You must adjust your initial volumes and concentrations to keep the curve with the limits. - Dr. McCord
(ps - you might have to reload your page to get the page to work)
(one more thing - this is literally a "flip" of the pH of a weak acid with strong base code wise)
Kb = 1.80 × 10-5 pKb = 4.74
Ka = 5.56 × 10-10 pKa = 9.26
start buffer zone equivalence pt overshoot
| vol of HCl (mL) | pH |
|---|---|
| 0.00 | 11.12 |
| 0.07 | 11.10 |
| 0.38 | 11.00 |
| 0.71 | 10.90 |
| 1.06 | 10.80 |
| 1.48 | 10.70 |
| 1.96 | 10.60 |
| 2.53 | 10.50 |
| 3.21 | 10.40 |
| 4.03 | 10.30 |
| 5.01 | 10.20 |
| 6.18 | 10.10 |
| 7.57 | 10.00 |
| 9.19 | 9.90 |
| 11.06 | 9.80 |
| 13.18 | 9.70 |
| 15.54 | 9.60 |
| 18.12 | 9.50 |
| 20.85 | 9.40 |
| 23.70 | 9.30 |
| 26.58 | 9.20 |
| 29.41 | 9.10 |
| 32.13 | 9.00 |
| 34.68 | 8.90 |
| 37.02 | 8.80 |
| 39.11 | 8.70 |
| 40.94 | 8.60 |
| 42.53 | 8.50 |
| 43.87 | 8.40 |
| 45.01 | 8.30 |
| 45.95 | 8.20 |
| 46.73 | 8.10 |
| 47.37 | 8.00 |
| 47.89 | 7.90 |
| 48.31 | 7.80 |
| 48.65 | 7.70 |
| 48.92 | 7.60 |
| 49.14 | 7.50 |
| 49.31 | 7.40 |
| 49.45 | 7.30 |
| 49.56 | 7.20 |
| 49.65 | 7.10 |
| 49.72 | 7.00 |
| 49.78 | 6.90 |
| 49.83 | 6.80 |
| 49.86 | 6.70 |
| 49.89 | 6.60 |
| 49.91 | 6.50 |
| 49.93 | 6.40 |
| 49.95 | 6.30 |
| 49.96 | 6.20 |
| 49.97 | 6.10 |
| 49.97 | 6.00 |
| 49.98 | 5.90 |
| 49.98 | 5.80 |
| 49.99 | 5.70 |
| 49.99 | 5.60 |
| 49.99 | 5.50 |
| 50.00 | 5.40 |
| 50.00 | 5.30 |
| 50.00 | 5.20 |
| 50.00 | 5.10 |
| 50.01 | 5.00 |
| 50.01 | 4.90 |
| 50.01 | 4.80 |
| 50.02 | 4.70 |
| 50.02 | 4.60 |
| 50.03 | 4.50 |
| 50.04 | 4.40 |
| 50.05 | 4.30 |
| 50.06 | 4.20 |
| 50.08 | 4.10 |
| 50.10 | 4.00 |
| 50.13 | 3.90 |
| 50.16 | 3.80 |
| 50.20 | 3.70 |
| 50.25 | 3.60 |
| 50.32 | 3.50 |
| 50.40 | 3.40 |
| 50.50 | 3.30 |
| 50.63 | 3.20 |
| 50.80 | 3.10 |
| 51.01 | 3.00 |
| 51.27 | 2.90 |
| 51.61 | 2.80 |
| 52.04 | 2.70 |
| 52.58 | 2.60 |
| 53.27 | 2.50 |
| 54.15 | 2.40 |
| 55.28 | 2.30 |
| 56.73 | 2.20 |
| 58.63 | 2.10 |
| 61.11 | 2.00 |
| 64.40 | 1.90 |
| 68.83 | 1.80 |
| 74.93 | 1.70 |
| 83.54 | 1.60 |
| 96.25 | 1.50 |
| 100 | 1.48 |