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Debey-Huckel Limiting Law Constant 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 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 [I]			+10% -10%

✖The Debye Huckel limiting Law Constant depends on the nature of the solvent and absolute temperature.ⓘ Debey-Huckel Limiting Law Constant [A]

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Debey-Huckel Limiting Law Constant Solution

STEP 0: Pre-Calculation Summary

Formula Used

Debye Huckel limiting Law Constant = -(ln(Mean Activity Coefficient))/(Charge Number of Ion Species^2)*sqrt(Ionic Strength)
A = -(ln(γ_±))/(Z_i^2)*sqrt(I)
This formula uses 2 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)
sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

Variables Used

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.
Mean Activity Coefficient - The Mean Activity Coefficient is the measure of ion-ion interaction in the solution containing both cation and anion.
Charge Number of Ion Species - The Charge Number of Ion Species is the total number of charge number of cation and anion.
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.

STEP 1: Convert Input(s) to Base Unit

Mean Activity Coefficient: 0.05 --> No Conversion Required
Charge Number of Ion Species: 2 --> No Conversion Required
Ionic Strength: 0.463 Mole per Kilogram --> 0.463 Mole per Kilogram No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

A = -(ln(γ_±))/(Z_i^2)*sqrt(I) --> -(ln(0.05))/(2^2)*sqrt(0.463)

Evaluating ... ...

A = 0.509604791037771

STEP 3: Convert Result to Output's Unit

0.509604791037771 sqrt(Kilogram) per sqrt(Mole) --> No Conversion Required

FINAL ANSWER

0.509604791037771 ≈ 0.509605 sqrt(Kilogram) per sqrt(Mole) <-- Debye Huckel limiting Law Constant

(Calculation completed in 00.020 seconds)

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< Debey Huckel Limiting Law Calculators

Charge Number of Ion Species using Debey-Huckel Limiting Law

LaTeX Go Charge Number of Ion Species = (-ln(Mean Activity Coefficient)/(Debye Huckel limiting Law Constant*sqrt(Ionic Strength)))^(1/2)

Debey-Huckel Limiting Law Constant

LaTeX Go Debye Huckel limiting Law Constant = -(ln(Mean Activity Coefficient))/(Charge Number of Ion Species^2)*sqrt(Ionic Strength)

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Conductivity given Cell Constant

LaTeX Go Specific Conductance = (Conductance*Cell Constant)

Conductance

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Debey-Huckel Limiting Law Constant Formula

LaTeX Go

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

What is Debye–Hückel 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 solution.

How to Calculate Debey-Huckel Limiting Law Constant?

Debey-Huckel Limiting Law Constant calculator uses Debye Huckel limiting Law Constant = -(ln(Mean Activity Coefficient))/(Charge Number of Ion Species^2)*sqrt(Ionic Strength) to calculate the Debye Huckel limiting Law Constant, The Debey-Huckel Limiting Law Constant formula is defined as the ratio of the negative natural log of mean activity coefficient to the square of the charge number of ion species and the square root of ionic activity. Debye Huckel limiting Law Constant is denoted by A symbol.

How to calculate Debey-Huckel Limiting Law Constant using this online calculator? To use this online calculator for Debey-Huckel Limiting Law Constant, enter Mean Activity Coefficient (γ_±), Charge Number of Ion Species (Z_i) & Ionic Strength (I) and hit the calculate button. Here is how the Debey-Huckel Limiting Law Constant calculation can be explained with given input values -> 0.117911 = -(ln(0.05))/(2^2)*sqrt(0.463).

FAQ

What is Debey-Huckel Limiting Law Constant?

The Debey-Huckel Limiting Law Constant formula is defined as the ratio of the negative natural log of mean activity coefficient to the square of the charge number of ion species and the square root of ionic activity and is represented as A = -(ln(γ_±))/(Z_i^2)*sqrt(I) or Debye Huckel limiting Law Constant = -(ln(Mean Activity Coefficient))/(Charge Number of Ion Species^2)*sqrt(Ionic Strength). The Mean Activity Coefficient is the measure of ion-ion interaction in the solution containing both cation and anion, The Charge Number of Ion Species is the total number of charge number of cation and anion & The Ionic Strength of a solution is a measure of the electrical intensity due to the presence of ions in the solution.

How to calculate Debey-Huckel Limiting Law Constant?

The Debey-Huckel Limiting Law Constant formula is defined as the ratio of the negative natural log of mean activity coefficient to the square of the charge number of ion species and the square root of ionic activity is calculated using Debye Huckel limiting Law Constant = -(ln(Mean Activity Coefficient))/(Charge Number of Ion Species^2)*sqrt(Ionic Strength). To calculate Debey-Huckel Limiting Law Constant, you need Mean Activity Coefficient (γ_±), Charge Number of Ion Species (Z_i) & Ionic Strength (I). With our tool, you need to enter the respective value for Mean Activity Coefficient, Charge Number of Ion Species & Ionic Strength and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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