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Ionic Strength using Debey-Huckel Limiting Law Calculator

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✖The Mean Activity Coefficient is the measure of ion-ion interaction in the solution containing both cation and anion.ⓘ Mean Activity Coefficient [γ_±]			+10% -10%
✖The Debye Huckel limiting Law Constant depends on the nature of the solvent and absolute temperature.ⓘ Debye Huckel limiting Law Constant [A]			+10% -10%
✖The Charge Number of Ion Species is the total number of charge number of cation and anion.ⓘ Charge Number of Ion Species [Z_i]			+10% -10%

✖The Ionic Strength of a solution is a measure of the electrical intensity due to the presence of ions in the solution.ⓘ Ionic Strength using Debey-Huckel Limiting Law [I]

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Ionic Strength using Debey-Huckel Limiting Law Solution

STEP 0: Pre-Calculation Summary

Formula Used

Ionic Strength = (-(ln(Mean Activity Coefficient))/(Debye Huckel limiting Law Constant*(Charge Number of Ion Species^2)))^2
I = (-(ln(γ_±))/(A*(Z_i^2)))^2
This formula uses 1 Functions, 4 Variables

Functions Used

ln - The natural logarithm, also known as the logarithm to the base e, is the inverse function of the natural exponential function., ln(Number)

Variables Used

Ionic Strength - (Measured in Mole per Kilogram) - The Ionic Strength of a solution is a measure of the electrical intensity due to the presence of ions in the solution.
Mean Activity Coefficient - The Mean Activity Coefficient is the measure of ion-ion interaction in the solution containing both cation and anion.
Debye Huckel limiting Law Constant - (Measured in sqrt(Kilogram) per sqrt(Mole)) - The Debye Huckel limiting Law Constant depends on the nature of the solvent and absolute temperature.
Charge Number of Ion Species - The Charge Number of Ion Species is the total number of charge number of cation and anion.

STEP 1: Convert Input(s) to Base Unit

Mean Activity Coefficient: 0.7 --> No Conversion Required
Debye Huckel limiting Law Constant: 0.509 sqrt(Kilogram) per sqrt(Mole) --> 0.509 sqrt(Kilogram) per sqrt(Mole) No Conversion Required
Charge Number of Ion Species: 2 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

I = (-(ln(γ_±))/(A*(Z_i^2)))^2 --> (-(ln(0.7))/(0.509*(2^2)))^2

Evaluating ... ...

I = 0.0306894889131435

STEP 3: Convert Result to Output's Unit

0.0306894889131435 Mole per Kilogram --> No Conversion Required

FINAL ANSWER

0.0306894889131435 ≈ 0.030689 Mole per Kilogram <-- Ionic Strength

(Calculation completed in 00.006 seconds)

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< Ionic Strength Calculators

Ionic Strength of Uni-Bivalent Electrolyte

LaTeX Go Ionic Strength = (1/2)*(Molality of Cation*((Valencies of Cation)^2)+(2*Molality of Anion*((Valencies of Anion)^2)))

Ionic Strength for Uni-Univalent Electrolyte

LaTeX Go Ionic Strength = (1/2)*(Molality of Cation*((Valencies of Cation)^2)+Molality of Anion*((Valencies of Anion)^2))

Ionic Strength for Bi-Bivalent Electrolyte

LaTeX Go Ionic Strength = (1/2)*(Molality of Cation*((Valencies of Cation)^2)+Molality of Anion*((Valencies of Anion)^2))

Ionic Strength for Bi-Bivalent Electrolyte if Molality of Cation and Anion is Same

LaTeX Go Ionic Strength = (4*Molality)

< Important Formulas of Ionic Activity Calculators

Ionic Strength of Bi-Trivalent Electrolyte

LaTeX Go Ionic Strength = (1/2)*(2*Molality of Cation*((Valencies of Cation)^2)+3*Molality of Anion*((Valencies of Anion)^2))

Ionic Strength of Uni-Bivalent Electrolyte

LaTeX Go Ionic Strength = (1/2)*(Molality of Cation*((Valencies of Cation)^2)+(2*Molality of Anion*((Valencies of Anion)^2)))

Ionic Strength for Uni-Univalent Electrolyte

LaTeX Go Ionic Strength = (1/2)*(Molality of Cation*((Valencies of Cation)^2)+Molality of Anion*((Valencies of Anion)^2))

Ionic Strength for Bi-Bivalent Electrolyte

LaTeX Go Ionic Strength = (1/2)*(Molality of Cation*((Valencies of Cation)^2)+Molality of Anion*((Valencies of Anion)^2))

Ionic Strength using Debey-Huckel Limiting Law Formula

LaTeX Go

Ionic Strength = (-(ln(Mean Activity Coefficient))/(Debye Huckel limiting Law Constant*(Charge Number of Ion Species^2)))^2
I = (-(ln(γ_±))/(A*(Z_i^2)))^2

What is Debye–Huckel limiting law?

The chemists Peter Debye and Erich Hückel noticed that solutions that contain ionic solutes do not behave ideally even at very low concentrations. So, while the concentration of the solutes is fundamental to the calculation of the dynamics of a solution, they theorized that an extra factor that they termed gamma is necessary to the calculation of the activity coefficients of the solution. Hence they developed the Debye–Hückel equation and Debye–Hückel limiting law. The activity is only proportional to the concentration and is altered by a factor known as the activity coefficient. This factor takes into account the interaction energy of ions in the solution.

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

Ionic Strength using Debey-Huckel Limiting Law calculator uses Ionic Strength = (-(ln(Mean Activity Coefficient))/(Debye Huckel limiting Law Constant*(Charge Number of Ion Species^2)))^2 to calculate 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 calculate Ionic Strength using Debey-Huckel Limiting Law using this online calculator? To use this online calculator for Ionic Strength using Debey-Huckel Limiting Law, enter Mean Activity Coefficient (γ_±), Debye Huckel limiting Law Constant (A) & Charge Number of Ion Species (Z_i) and hit the calculate button. Here is how the Ionic Strength using Debey-Huckel Limiting Law calculation can be explained with given input values -> 0.115903 = (-(ln(0.7))/(0.509*(2^2)))^2.

FAQ

What is Ionic Strength using Debey-Huckel Limiting Law?

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 and is represented as I = (-(ln(γ_±))/(A*(Z_i^2)))^2 or Ionic Strength = (-(ln(Mean Activity Coefficient))/(Debye Huckel limiting Law Constant*(Charge Number of Ion Species^2)))^2. The Mean Activity Coefficient is the measure of ion-ion interaction in the solution containing both cation and anion, The Debye Huckel limiting Law Constant depends on the nature of the solvent and absolute temperature & The Charge Number of Ion Species is the total number of charge number of cation and anion.

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

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 is calculated using Ionic Strength = (-(ln(Mean Activity Coefficient))/(Debye Huckel limiting Law Constant*(Charge Number of Ion Species^2)))^2. To calculate Ionic Strength using Debey-Huckel Limiting Law, you need Mean Activity Coefficient (γ_±), Debye Huckel limiting Law Constant (A) & Charge Number of Ion Species (Z_i). With our tool, you need to enter the respective value for Mean Activity Coefficient, Debye Huckel limiting Law Constant & Charge Number of Ion Species and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Ionic Strength?

In this formula, Ionic Strength uses Mean Activity Coefficient, Debye Huckel limiting Law Constant & Charge Number of Ion Species. We can use 3 other way(s) to calculate the same, which is/are as follows -

Ionic Strength = (1/2)*(Molality of Cation*((Valencies of Cation)^2)+Molality of Anion*((Valencies of Anion)^2))
Ionic Strength = (1/2)*(Molality of Cation*((Valencies of Cation)^2)+Molality of Anion*((Valencies of Anion)^2))
Ionic Strength = (4*Molality)

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