Mean Activity Coefficient using Debey-Huckel Limiting Law Calculator

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✖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 [I]			+10% -10%

✖The Mean Activity Coefficient is the measure of ion-ion interaction in the solution containing both cation and anion.ⓘ Mean Activity Coefficient using Debey-Huckel Limiting Law [γ_±]

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Formula

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Mean Activity Coefficient using Debey-Huckel Limiting Law

Formula

`"γ"_{"±"} = exp(-"A"*("Z"_{"i"}^2)*(sqrt("I")))`

Example

`"0.749811"=exp(-"0.509kg^(1/2)/mol^(1/2)"*(("2")^2)*(sqrt("0.02mol/kg")))`

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Mean Activity Coefficient using Debey-Huckel Limiting Law Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Functions Used

exp - n an exponential function, the value of the function changes by a constant factor for every unit change in the independent variable., exp(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

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.
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

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
Ionic Strength: 0.02 Mole per Kilogram --> 0.02 Mole per Kilogram No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

γ_± = exp(-A*(Z_i^2)*(sqrt(I))) --> exp(-0.509*(2^2)*(sqrt(0.02)))

Evaluating ... ...

γ_± = 0.749811167140354

STEP 3: Convert Result to Output's Unit

0.749811167140354 --> No Conversion Required

FINAL ANSWER

0.749811167140354 ≈ 0.749811 <-- Mean Activity Coefficient

(Calculation completed in 00.012 seconds)

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< 5 Mean Activity Coefficient Calculators

Mean Activity Coefficient using Debey-Huckel Limiting Law

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

Mean Activity Coefficient for Bi-Trivalent Electrolyte

Go Mean Activity Coefficient = Mean ionic activity/((108^(1/5))*Molality)

Mean Activity Coefficient for Uni-Trivalent Electrolyte

Go Mean Activity Coefficient = Mean Ionic Activity/((27^(1/4))*Molality)

Mean Activity Coefficient for Uni-Bivalent Electrolyte

Go Mean Activity Coefficient = Mean Ionic Activity/((4^(1/3))*Molality)

Mean Activity Coefficient for Uni-Univalent Electrolyte

Go Mean Activity Coefficient = Mean Ionic Activity/Molality

< 13 Important Formulas of Ionic Activity Calculators

Mean Activity Coefficient using Debey-Huckel Limiting Law

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

Ionic Strength using Debey-Huckel Limiting Law

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

Ionic Strength of Bi-Trivalent Electrolyte

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

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

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

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

Mean Ionic Activity for Uni-Bivalent Electrolyte

Go Mean Ionic Activity = ((4)^(1/3))*(Molality)*(Mean Activity Coefficient)

Mean Activity Coefficient for Uni-Trivalent Electrolyte

Go Mean Activity Coefficient = Mean Ionic Activity/((27^(1/4))*Molality)

Mean Activity Coefficient for Uni-Bivalent Electrolyte

Go Mean Activity Coefficient = Mean Ionic Activity/((4^(1/3))*Molality)

Mean Ionic Activity for Bi-Trivalent Electrolyte

Go Mean Ionic Activity = (108^(1/5))*Mean Activity Coefficient*Molality

Mean Ionic Activity for Uni-Trivalent Electrolyte

Go Mean Ionic Activity = (27^(1/4))*Molality*Mean Activity Coefficient

Mean Ionic Activity for Uni-Univalent Electrolyte

Go Mean Ionic Activity = (Molality)*(Mean Activity Coefficient)

Mean Activity Coefficient for Uni-Univalent Electrolyte

Go Mean Activity Coefficient = Mean Ionic Activity/Molality

Mean Activity Coefficient using Debey-Huckel Limiting Law Formula

Mean Activity Coefficient = exp(-Debye Huckel limiting Law Constant*(Charge Number of Ion Species^2)*(sqrt(Ionic Strength)))
γ_± = exp(-A*(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 Mean Activity Coefficient using Debey-Huckel Limiting Law?

Mean Activity Coefficient using Debey-Huckel Limiting Law calculator uses Mean Activity Coefficient = exp(-Debye Huckel limiting Law Constant*(Charge Number of Ion Species^2)*(sqrt(Ionic Strength))) to calculate the Mean Activity Coefficient, The Mean activity coefficient using Debey-Huckel limiting law formula is defined as the anti-natural log of the negative product of constant and charge number of ions to the square root of ionic activity. Mean Activity Coefficient is denoted by γ_± symbol.

How to calculate Mean Activity Coefficient using Debey-Huckel Limiting Law using this online calculator? To use this online calculator for Mean Activity Coefficient using Debey-Huckel Limiting Law, enter Debye Huckel limiting Law Constant (A), Charge Number of Ion Species (Z_i) & Ionic Strength (I) and hit the calculate button. Here is how the Mean Activity Coefficient using Debey-Huckel Limiting Law calculation can be explained with given input values -> 0.749811 = exp(-0.509*(2^2)*(sqrt(0.02))).

FAQ

What is Mean Activity Coefficient using Debey-Huckel Limiting Law?

The Mean activity coefficient using Debey-Huckel limiting law formula is defined as the anti-natural log of the negative product of constant and charge number of ions to the square root of ionic activity and is represented as γ_± = exp(-A*(Z_i^2)*(sqrt(I))) or Mean Activity Coefficient = exp(-Debye Huckel limiting Law Constant*(Charge Number of Ion Species^2)*(sqrt(Ionic Strength))). 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 & 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 Mean Activity Coefficient using Debey-Huckel Limiting Law?

The Mean activity coefficient using Debey-Huckel limiting law formula is defined as the anti-natural log of the negative product of constant and charge number of ions to the square root of ionic activity is calculated using Mean Activity Coefficient = exp(-Debye Huckel limiting Law Constant*(Charge Number of Ion Species^2)*(sqrt(Ionic Strength))). To calculate Mean Activity Coefficient using Debey-Huckel Limiting Law, you need Debye Huckel limiting Law Constant (A), Charge Number of Ion Species (Z_i) & Ionic Strength (I). With our tool, you need to enter the respective value for Debye Huckel limiting Law Constant, 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.

How many ways are there to calculate Mean Activity Coefficient?

In this formula, Mean Activity Coefficient uses Debye Huckel limiting Law Constant, Charge Number of Ion Species & Ionic Strength. We can use 6 other way(s) to calculate the same, which is/are as follows -

Mean Activity Coefficient = Mean Ionic Activity/Molality
Mean Activity Coefficient = Mean Ionic Activity/((4^(1/3))*Molality)
Mean Activity Coefficient = Mean Ionic Activity/((27^(1/4))*Molality)
Mean Activity Coefficient = Mean Ionic Activity/((4^(1/3))*Molality)
Mean Activity Coefficient = Mean Ionic Activity/((27^(1/4))*Molality)
Mean Activity Coefficient = Mean Ionic Activity/Molality

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