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The Ionic Strength of a solution is a measure of the electrical intensity due to the presence of ions in the solution. Check FAQs
I=(-ln(γ±)A(Zi2))2
I - Ionic Strength?γ± - Mean Activity Coefficient?A - Debye Huckel limiting Law Constant?Zi - Charge Number of Ion Species?

Ionic Strength using Debey-Huckel Limiting Law Example

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With units
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Here is how the Ionic Strength using Debey-Huckel Limiting Law equation looks like with Values.

Here is how the Ionic Strength using Debey-Huckel Limiting Law equation looks like with Units.

Here is how the Ionic Strength using Debey-Huckel Limiting Law equation looks like.

0.0307Edit=(-ln(0.7Edit)0.509Edit(2Edit2))2
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Ionic Strength using Debey-Huckel Limiting Law Solution

Follow our step by step solution on how to calculate Ionic Strength using Debey-Huckel Limiting Law?

FIRST Step Consider the formula
I=(-ln(γ±)A(Zi2))2
Next Step Substitute values of Variables
I=(-ln(0.7)0.509kg^(1/2)/mol^(1/2)(22))2
Next Step Prepare to Evaluate
I=(-ln(0.7)0.509(22))2
Next Step Evaluate
I=0.0306894889131435mol/kg
LAST Step Rounding Answer
I=0.0307mol/kg

Ionic Strength using Debey-Huckel Limiting Law Formula Elements

Variables
Functions
Ionic Strength
The Ionic Strength of a solution is a measure of the electrical intensity due to the presence of ions in the solution.
Symbol: I
Measurement: MolalityUnit: mol/kg
Note: Value can be positive or negative.
Mean Activity Coefficient
The Mean Activity Coefficient is the measure of ion-ion interaction in the solution containing both cation and anion.
Symbol: γ±
Measurement: NAUnit: Unitless
Note: Value can be positive or negative.
Debye Huckel limiting Law Constant
The Debye Huckel limiting Law Constant depends on the nature of the solvent and absolute temperature.
Symbol: A
Measurement: Debye–Hückel limiting law constantUnit: kg^(1/2)/mol^(1/2)
Note: Value can be positive or negative.
Charge Number of Ion Species
The Charge Number of Ion Species is the total number of charge number of cation and anion.
Symbol: Zi
Measurement: NAUnit: Unitless
Note: Value can be positive or negative.
ln
The natural logarithm, also known as the logarithm to the base e, is the inverse function of the natural exponential function.
Syntax: ln(Number)

Other Formulas to find Ionic Strength

​Go Ionic Strength for Bi-Bivalent Electrolyte
I=(12)(m+((Z+)2)+m-((Z-)2))
​Go Ionic Strength for Uni-Univalent Electrolyte
I=(12)(m+((Z+)2)+m-((Z-)2))
​Go Ionic Strength of Bi-Trivalent Electrolyte
I=(12)(2m+((Z+)2)+3m-((Z-)2))
​Go Ionic Strength of Uni-Bivalent Electrolyte
I=(12)(m+((Z+)2)+(2m-((Z-)2)))

Other formulas in Ionic Strength category

​Go Mean Activity Coefficient for Uni-Bivalent Electrolyte
γ±=A±(413)m
​Go Mean Activity Coefficient for Uni-Trivalent Electrolyte
γ±=A±(2714)m
​Go Mean Activity Coefficient for Uni-Univalent Electrolyte
γ±=A±m
​Go Mean Activity Coefficient using Debey-Huckel Limiting Law
γ±=exp(-A(Zi2)(I))

How to Evaluate Ionic Strength using Debey-Huckel Limiting Law?

Ionic Strength using Debey-Huckel Limiting Law evaluator uses Ionic Strength = (-(ln(Mean Activity Coefficient))/(Debye Huckel limiting Law Constant*(Charge Number of Ion Species^2)))^2 to evaluate the Ionic Strength, The Ionic strength using Debey-Huckel limiting law formula is defined as the ratio of the whole square of natural-log of mean activity coefficient to the limiting law constant and square of the charge number. Ionic Strength is denoted by I symbol.

How to evaluate Ionic Strength using Debey-Huckel Limiting Law using this online evaluator? To use this online evaluator for Ionic Strength using Debey-Huckel Limiting Law, enter Mean Activity Coefficient ±), Debye Huckel limiting Law Constant (A) & Charge Number of Ion Species (Zi) and hit the calculate button.

FAQs on Ionic Strength using Debey-Huckel Limiting Law

What is the formula to find Ionic Strength using Debey-Huckel Limiting Law?
The formula of Ionic Strength using Debey-Huckel Limiting Law is expressed as Ionic Strength = (-(ln(Mean Activity Coefficient))/(Debye Huckel limiting Law Constant*(Charge Number of Ion Species^2)))^2. Here is an example- 0.115903 = (-(ln(0.7))/(0.509*(2^2)))^2.
How to calculate Ionic Strength using Debey-Huckel Limiting Law?
With Mean Activity Coefficient ±), Debye Huckel limiting Law Constant (A) & Charge Number of Ion Species (Zi) we can find Ionic Strength using Debey-Huckel Limiting Law using the formula - Ionic Strength = (-(ln(Mean Activity Coefficient))/(Debye Huckel limiting Law Constant*(Charge Number of Ion Species^2)))^2. This formula also uses Natural Logarithm (ln) function(s).
What are the other ways to Calculate Ionic Strength?
Here are the different ways to Calculate Ionic Strength-
  • Ionic Strength=(1/2)*(Molality of Cation*((Valencies of Cation)^2)+Molality of Anion*((Valencies of Anion)^2))OpenImg
  • Ionic Strength=(1/2)*(Molality of Cation*((Valencies of Cation)^2)+Molality of Anion*((Valencies of Anion)^2))OpenImg
  • Ionic Strength=(1/2)*(2*Molality of Cation*((Valencies of Cation)^2)+3*Molality of Anion*((Valencies of Anion)^2))OpenImg
Can the Ionic Strength using Debey-Huckel Limiting Law be negative?
Yes, the Ionic Strength using Debey-Huckel Limiting Law, measured in Molality can be negative.
Which unit is used to measure Ionic Strength using Debey-Huckel Limiting Law?
Ionic Strength using Debey-Huckel Limiting Law is usually measured using the Mole per Kilogram[mol/kg] for Molality. Millimole per Kilogram[mol/kg] are the few other units in which Ionic Strength using Debey-Huckel Limiting Law can be measured.
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