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The pH scale is the negative of the logarithm of the hydrogen ion concentration (molarity) in a solution. Thus at pH 1 there are 1x 10-1 mol/liter of H+ present and at pH 14 there are 1x10-14 mole/liter present (much less)

Obviously you could have 1x10-15 mol/liter present for a pH of 15 or even a fraction of of a mole to give a pH of less than 1 (pH 0.698 = 0,2 mole/liter.)

At pH 0 the concentration would be 10 mol/liter

Now what happens at lower than zero pH. Any acid that has a concentration of hydrogen ions with a molarity greater than 1 can be calculated to have a negative pH. The pH of 12M HCl would be -log(12) = -1.08. The proof of the concentration and pH would be physically difficult as the pH probes don't work well in this range (acid error).

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Q: Why does the pH scale ordinarily run from 0 to 14 is it possible for the scale to extent beyond 0 and 14if so how?
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