Ionic Strength Calculator

Compute ionic strength and the dilute-solution activity coefficient from ion concentrations.

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Ionic strength

Ionic strength
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Sum of c x z squared
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Activity coefficient (z = 1)
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Total ion concentration
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Strength class
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How to use this tool

1
List the ions

Enter concentration:charge pairs separated by semicolons.

2
Split salts into ions

Count each ion separately, with its stoichiometric amount.

3
Read the ionic strength

The big number is in mol/L.

4
Check the activity coefficient

Valid only for dilute solutions; see the note.

Formula & worked example

I = (1/2) x Σ(c_i x z_i²). Debye-Huckel limiting law: log10(γ) = −0.509 z² √I.

0.1 M NaCl plus 0.05 M MgSO4 gives I = 0.5 x (0.1 + 0.1 + 0.2 + 0.2) = 0.3 mol/L.

Limitations — read this before you rely on it

Debye-Huckel limiting law is valid only for dilute aqueous solutions at about 25 C; concentrated or non-aqueous systems need other models.

Frequently asked questions

A measure of the total electric charge concentration in a solution, weighting each ion by the square of its charge.

Because both positive and negative ions shield charges, and the effect grows with charge squared, so a 2+ ion counts four times a 1+ ion.

A correction for non-ideal behaviour: effective concentration equals activity coefficient times concentration.

Above roughly 0.01-0.1 mol/L, where extended Debye-Huckel or Pitzer models are needed.

Split it into ions: 0.1 M MgCl2 becomes 0.1:2 and 0.2:-1, since each formula unit gives one Mg2+ and two Cl-.