Chemistry & Materials Science

pH Calculator

Calculate the exact pH, pOH, and ion concentrations of any solution. Convert between [H+] and pH instantly for acid-base chemistry problems.

M
NaN

Calculated locally in your browser. Fast, secure, and private.

Instantly convert hydrogen ion concentration $[H^+]$ into pH. This calculator also provides the corresponding pOH and hydroxide ion $[OH^-]$ concentrations for a complete profile of your acid-base solution.

The pH Scale

The pH scale is a logarithmic measure of the acidity or basicity of an aqueous solution. Because hydrogen ion concentrations can range from $1$ M down to $1 \times 10^{-14}$ M, a logarithmic scale provides a manageable number between 0 and 14.

pH=log10[H+]\begin{aligned} \text{pH} = -\log_{10}[H^+] \end{aligned}

Where:
[H+][H^+]=
Hydrogen Ion Concentration (mol/L)

Temperature Dependence

The standard pH scale from 0 to 14 is specifically calibrated for water at $25^\circ\text{C}$ (298 K), where the autoionization constant of water ($K_w$) is exactly $1.0 \times 10^{-14}$.

Frequently Asked Questions

pH stands for 'potential of hydrogen' or 'power of hydrogen'. It is the negative base-10 logarithm of the hydrogen (or hydronium) ion concentration in a solution.

Yes. In extremely concentrated strong acids (where $[H^+]$ is greater than 1 M), the pH drops below 0. For example, a 10 M solution of HCl has a pH of -1.

At $25^\circ\text{C}$, pure water autoionizes to produce exactly $1.0 \times 10^{-7}$ M of $[H^+]$ and $[OH^-]$. The negative logarithm of $1.0 \times 10^{-7}$ is exactly 7.

Because the scale is logarithmic (base 10), a pH of 3 is exactly 10 times more acidic than a pH of 4, and 100 times more acidic than a pH of 5.

In reality, bare protons ($H^+$) do not exist in water; they attach to water molecules to form hydronium ions ($H_3O^+$). However, $[H^+]$ is commonly used as a shorthand convention in chemistry.