Ionic Activity Coefficient Calculator

Formula

The formula to calculate the ionic activity coefficient is:

\[ \gamma = 10^{\left(-\frac{A \cdot z^2 \cdot \sqrt{I}}{1 + B \cdot d \cdot \sqrt{I}}\right)} \]

Where:

\(\gamma\) is the ionic activity coefficient
\(A\) is a constant that depends on the solvent and temperature
\(z\) is the charge of the ion
\(I\) is the ionic strength of the solution
\(B\) is a constant that depends on the solvent and temperature
\(d\) is the effective diameter of the ion

What is an Ionic Activity Coefficient?

The ionic activity coefficient is a factor used in chemistry to account for deviations from ideal behavior in a solution of ions. It quantifies the effective concentration of ions in a solution, considering interactions between ions that affect their activity. The coefficient is crucial for accurate calculations in various chemical processes, including reaction equilibria and electrochemistry. It helps in understanding how ions behave in real-world conditions, where ideal assumptions often do not hold.

Example Calculation

Let's assume the following values:

Constant A = 0.5
Charge of the Ion (z) = 2
Ionic Strength (I) = 0.1
Constant B = 0.3
Effective Diameter of the Ion (d) = 0.5

Using the formula:

\[ \gamma = 10^{\left(-\frac{0.5 \cdot 2^2 \cdot \sqrt{0.1}}{1 + 0.3 \cdot 0.5 \cdot \sqrt{0.1}}\right)} = 0.249 \]

The Ionic Activity Coefficient is 0.249.