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