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Chemistry

Acid-Base Titration Curve

pH = 7 + 3·tanh((V − Vₑ)/2)
Acid-Base Titration Curve

As base is added to a weak acid the pH rises gently, then leaps through the equivalence point at 25 mL where the buffer is exhausted.

Computed & rendered in pure C# on the frozen OnlyCSharp 1.8 library — animation baked to GIF with the library's own Gif encoder (no GPU, no ffmpeg, no external packages).