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Ionic Strength Calculator

Calculate ionic strength from ion concentrations and charge numbers using I = ½Σ(cᵢzᵢ²) for up to 10 ions.

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Ionic Strength Calculator

The Ionic Strength Calculator computes the ionic strength of an electrolyte solution from the concentrations and charge numbers of all ions present.

$$I = \frac{1}{2} \sum_i c_i z_i^2$$

where $I$ is ionic strength (mol/L), $c_i$ is the molar concentration of ion $i$, and $z_i$ is its charge number.

Example: a 1 M ZnCl₂ solution gives $c(\text{Zn}^{2+}) = 1$ mol/L and $c(\text{Cl}^-) = 2$ mol/L, so $I = \frac{1}{2}(1 \times 2^2 + 2 \times 1^2) = 3.0$ mol/L.

Ionic strength affects activity coefficients, Debye-Hückel theory, electrochemical measurements, and stability constants. Higher ionic strength generally means ions behave less like ideal particles in solution.

Related tools: Cell EMF Calculator, Electrolysis Calculator, and Concentration Calculator.

Frequently Asked Questions

What is ionic strength?

Ionic strength measures the total concentration of ions in a solution, weighted by the square of their charges. It is expressed in mol/L or mol/kg.

How do I calculate ionic strength of NaCl?

For 1 M NaCl, Na+ and Cl- each have concentration 1 mol/L with charges +1 and -1. I = ½(1×1² + 1×1²) = 1.0 mol/L.

Why is charge squared in the formula?

Squaring the charge reflects that multivalent ions contribute more to electrostatic interactions in solution than monovalent ions at the same concentration.

How do I get ion concentrations from molarity?

Multiply the solution molarity by the number of each ion in the formula. For 0.2 M Na₂HPO₄, [Na+] = 0.4 M and [HPO₄²⁻] = 0.2 M.