Activity Coefficient Calculator

Calculate activity coefficients using Debye-Huckel limiting law, extended Debye-Huckel, and Davies equation.

Ion Parameters

0.1 mol/kg
0.001 mol/kg1 mol/kg
mol/kg
1
14
3 A
1 A10 A
A
298.15 K
273.15 K373.15 K
K

Activity Coefficient (Extended DH)

0.753771

Limiting Law
0.690303
Extended DH
0.753771
Davies Equation
0.781594
log(gamma)
-0.122761

Debye-Huckel Extended Law:

log(gamma) = -A * z^2 * sqrt(I) / (1 + B * a * sqrt(I))

Where A = 0.509, B = 0.328, a = ion radius (A), I = ionic strength

Davies Equation:

log(gamma) = -A * z^2 * (sqrt(I)/(1+sqrt(I)) - 0.3*I)

Valid for ionic strengths up to 0.5 mol/kg

Understanding Activity Coefficients

Activity coefficients account for the non-ideal behavior of ions in solution. In an ideal solution, activity equals concentration, but real solutions deviate from this due to electrostatic interactions between ions. The activity coefficient (gamma) relates activity to concentration: a = gamma * C. Values less than 1 indicate that ions are less reactive than their concentration suggests.

Methods Comparison

Limiting Law

Simple approximation valid for I < 0.01 mol/kg

Extended DH

Accounts for ion size, valid for I < 0.1 mol/kg

Davies

Empirical extension, valid for I < 0.5 mol/kg