pH Calculator
Work out the pH of a solution from its hydrogen ion concentration, or reverse it to find [H+], pOH and [OH-] from a known pH. Enter just one value and the calculator fills in the rest, then tells you whether the solution is acidic, neutral or basic.
Enter Values
How to use this calculator
- Enter EITHER the hydrogen ion concentration [H+] in mol/L OR the pH — fill in exactly one field, not both.
- Read off the pH (or [H+]), plus pOH, hydroxide concentration [OH-] and the acid/base classification.
- Use the steps panel to see each conversion, which is handy for checking homework or lab work.
How it works
pH is defined as -log10 of the hydrogen ion concentration: pH = -log10([H+]). Rearranged, [H+] = 10^(-pH). Because water self-ionises, pH and pOH always add to 14 at 25 degC, so pOH = 14 - pH and [OH-] = 10^(-pOH). A pH below 7 is acidic, exactly 7 is neutral, and above 7 is basic.
Worked example
Worked example. A solution has [H+] = 0.001 mol/L (1.000e-3). pH = -log10(0.001) = 3, so pOH = 14 - 3 = 11 and [OH-] = 10^(-11) = 1.000e-11 mol/L. A pH of 3 is well below 7, so the solution is Acidic.
Common mistakes
- Entering both [H+] and pH at once — supply only one and let the tool derive the other.
- Typing a hydrogen ion concentration of 0 or a negative number; concentration must be greater than 0 for the logarithm to be defined.
- Forgetting that concentration is in mol/L (molarity), not grams per litre or percent.
Frequently asked questions
Why does pH plus pOH equal 14?
At 25 degC the ion product of water (Kw) is 1.0e-14, so [H+] times [OH-] = 1.0e-14. Taking negative logs of both sides gives pH + pOH = 14. This relationship shifts slightly at other temperatures.
Can pH be negative or above 14?
Yes, for very concentrated strong acids or bases the pH can fall below 0 or rise above 14. This calculator restricts pH entry to the common 0-14 range; for extreme concentrations enter the [H+] value directly instead.
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Tip: Enter any known values to calculate the remaining results.
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