Ionic Strength Calculator Formula

Understand the math behind the ionic strength calculator. Each variable explained with a worked example.

Formulas Used

Ionic Strength

ionic_strength = 0.5 * (conc_1 * pow(charge_1, 2) + conc_2 * pow(charge_2, 2))

Variables

VariableDescriptionDefault
conc_1Concentration of Ion 1(M)0.1
charge_1Charge of Ion 12
conc_2Concentration of Ion 2(M)0.2
charge_2Charge of Ion 21

How It Works

How to Calculate Ionic Strength

Formula

I = 0.5 × Sum(c_i × z_i^2)

Ionic strength measures total charge concentration and affects activity coefficients.

Worked Example

0.1 M CaCl2: 0.1 M Ca2+ and 0.2 M Cl-.

conc_1 = 0.1charge_1 = 2conc_2 = 0.2charge_2 = 1
  1. 01I = 0.5 × (0.1 × 4 + 0.2 × 1)
  2. 02I = 0.5 × (0.4 + 0.2)
  3. 03I = 0.3 M

Frequently Asked Questions

What is ionic strength?

A measure of total ion concentration weighted by charge squared, used in Debye-Huckel calculations.

Why square the charges?

Highly charged ions have a disproportionately larger effect on the electrostatic environment.

How does ionic strength affect solubility?

Higher ionic strength generally increases solubility of sparingly soluble salts via the salt effect.

Ready to run the numbers?

Open Ionic Strength Calculator