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pH to H+

Assumes 25 °C, where pH + pOH = 14.

Hydrogen ion concentration [H+] —
[H+] as a decimal (mol/L)
—
pOH
—
Hydroxide concentration [OH-]
—
Solution is
—

To turn pH into hydrogen ion concentration, raise 10 to the power of minus the pH: [H+] = 10^-pH mol/L. A solution at pH 3.5 has [H+] = 10^-3.5 = 3.16 × 10^-4 mol/L. Each one-unit drop in pH means ten times more hydrogen ions, so pH 2.5 holds 3.16 × 10^-3 mol/L.

About this tool

Students working acid-base problems, lab technicians checking a buffer, and pool or aquarium keepers reading a meter all meet the same step: a pH reading has to become a concentration before it can be used in an equilibrium expression or a dilution. Type a pH and the page returns [H+] in scientific notation, the same value as a plain decimal when it is large enough to read that way, the pOH, the hydroxide concentration and whether the solution is acidic, neutral or basic. The working is printed underneath so the exponent arithmetic can be copied into a lab report. One limit: pOH and [OH-] use pKw = 14, which is exact only at 25 °C; at 37 °C pKw is closer to 13.6, so the hydroxide figures shift while [H+] does not.

How to use it

  1. Enter the pH

    Type the measured or given pH, including decimals such as 4.75. Values from -2 to 16 are accepted.

  2. Read [H+]

    The headline shows the hydrogen ion concentration in mol/L in scientific notation, with a decimal form for values of 0.0001 M and above.

  3. Check pOH and [OH-]

    The pOH and hydroxide concentration follow from pH + pOH = 14 at 25 °C.

  4. Follow the working

    The lines under the result show each power-of-ten step with your numbers filled in.

Examples

pH 7 (pure water)

pH
7

Result Hydrogen ion concentration [H+]: 1.00 × 10^-7 mol/L
[H+] as a decimal (mol/L): 1.00 × 10^-7 mol/L
pOH: 7
Hydroxide concentration [OH-]: 1.00 × 10^-7 mol/L
Solution is: Neutral

  1. [H+] = 10^(-pH) = 10^(-7) = 1.00 × 10^-7 mol/L
  2. pOH = 14 – pH = 14 – 7 = 7
  3. [OH-] = 10^(-pOH) = 1.00 × 10^-7 mol/L

At 25 °C neutral water holds 1.0 × 10^-7 mol of hydrogen ions per litre, the same as hydroxide.

pH 3.5 (orange-juice range)

pH
3.5

Result Hydrogen ion concentration [H+]: 3.16 × 10^-4 mol/L
[H+] as a decimal (mol/L): 0.000316
pOH: 10.5
Hydroxide concentration [OH-]: 3.16 × 10^-11 mol/L
Solution is: Acidic

  1. [H+] = 10^(-pH) = 10^(-3.5) = 3.16 × 10^-4 mol/L
  2. pOH = 14 – pH = 14 – 3.5 = 10.5
  3. [OH-] = 10^(-pOH) = 3.16 × 10^-11 mol/L

10^-3.5 is 3.16 × 10^-4 mol/L, about 3,160 times the hydrogen ion level of neutral water.

pH 12 (dilute NaOH)

pH
12

Result Hydrogen ion concentration [H+]: 1.00 × 10^-12 mol/L
[H+] as a decimal (mol/L): 1.00 × 10^-12 mol/L
pOH: 2
Hydroxide concentration [OH-]: 1.00 × 10^-2 mol/L
Solution is: Basic

  1. [H+] = 10^(-pH) = 10^(-12) = 1.00 × 10^-12 mol/L
  2. pOH = 14 – pH = 14 – 12 = 2
  3. [OH-] = 10^(-pOH) = 1.00 × 10^-2 mol/L

A 0.01 M sodium hydroxide solution has pOH 2, so [H+] falls to 1 × 10^-12 mol/L.

How it is calculated

[H+] = 10^(-pH); pOH = 14 - pH; [OH-] = 10^(-pOH)

pH
negative base-10 logarithm of the hydrogen ion activity
[H+]
hydrogen (hydronium) ion concentration in mol/L
pOH
negative base-10 logarithm of hydroxide concentration
[OH-]
hydroxide ion concentration in mol/L

pH is defined as -log10[H+], so inverting it is an antilog: [H+] = 10^-pH. Water's ion product Kw = [H+][OH-] = 1.0 × 10^-14 at 25 °C, which gives pH + pOH = 14 and lets the hydroxide concentration be found from the same reading. Strictly, a pH meter reports hydrogen ion activity rather than concentration; in dilute solutions below about 0.1 M ionic strength the two agree closely enough for coursework.

When not to use it

  • Do not use the pOH and [OH-] figures for samples far from 25 °C, because pKw changes with temperature.
  • Concentrated acids or bases with pH below 0 or above 14 need activity coefficients, not this simple antilog.

Common mistakes

  • Forgetting the minus sign and computing 10^pH, which gives an enormous number instead of a small one.
  • Treating pH as linear, when one unit of pH is a tenfold change in [H+].
  • Reporting [H+] with more significant figures than the pH has decimal places.

Frequently asked questions

How do I convert pH to H+ on a calculator?

Press the 10^x key (often shift + log), enter the pH with a minus sign, and press equals. For pH 4.2 that is 10^-4.2 = 6.31 × 10^-5 mol/L.

Why is [H+] at pH 7 equal to 1 × 10^-7?

Pure water self-ionises slightly, and at 25 °C the product [H+][OH-] equals 1.0 × 10^-14. Because neutral water has equal amounts of each ion, both are the square root of that, 1.0 × 10^-7 mol/L, which is pH 7.

How many significant figures should [H+] have?

The digits after the decimal point in a pH are the significant figures of the concentration. A pH of 3.50 has two decimal places, so [H+] is reported as 3.2 × 10^-4 M with two significant figures. The integer part of the pH only sets the power of ten.

Is H+ the same as H3O+?

In water a free proton immediately bonds to a water molecule, so the species present is the hydronium ion H3O+. Chemists write [H+] and [H3O+] interchangeably; the numerical concentration is the same.

Can pH be negative?

Yes. A strong acid above 1 mol/L, such as 2 M hydrochloric acid, gives a calculated pH of about -0.3. At those concentrations the activity departs from concentration, so the result here is an estimate.

How does temperature change the answer?

The [H+] from a given pH does not depend on temperature, since it is a direct antilog. The pOH and [OH-] do, because Kw rises with temperature: at 50 °C pKw is about 13.26, so neutral water there has a pH near 6.63.

Cite this tool

Using this tool in an assignment, article or report? Copy a citation, or a link for your website.

APA

Tools Directory Editorial Team. (2026, October 17). pH to H+. Tools Directory. Retrieved October 27, 2026, from https://tools.milunir.com/chemistry/solutions-and-concentration/ph-to-h/

MLA

Tools Directory Editorial Team. “pH to H+.” Tools Directory, 17 Oct. 2026, https://tools.milunir.com/chemistry/solutions-and-concentration/ph-to-h/. Accessed 27 Oct. 2026.

Chicago

Tools Directory Editorial Team. “pH to H+.” Tools Directory. Last modified October 17, 2026. Accessed October 27, 2026. https://tools.milunir.com/chemistry/solutions-and-concentration/ph-to-h/.

Link<a href="https://tools.milunir.com/chemistry/solutions-and-concentration/ph-to-h/">pH to H+ – Tools Directory</a>