Charge Number of Ion Species 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 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 Charge Number of Ion Species is the total number of charge number of cation and anion.ⓘ Charge Number of Ion Species using Debey-Huckel Limiting Law [Z_i]

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Formula

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Charge Number of Ion Species using Debey-Huckel Limiting Law

Formula

`"Z"_{"i"} = (-ln("γ"_{"±"})/("A"*sqrt("I")))^(1/2)`

Example

`"2.941016"=(-ln("0.05")/("0.509kg^(1/2)/mol^(1/2)"*sqrt("0.463mol/kg")))^(1/2)`

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Charge Number of Ion Species using Debey-Huckel Limiting Law Solution

STEP 0: Pre-Calculation Summary

Formula Used

Charge Number of Ion Species = (-ln(Mean Activity Coefficient)/(Debye Huckel limiting Law Constant*sqrt(Ionic Strength)))^(1/2)
Z_i = (-ln(γ_±)/(A*sqrt(I)))^(1/2)
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

Charge Number of Ion Species - The Charge Number of Ion Species is the total number of charge number of cation and anion.
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.
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
Debye Huckel limiting Law Constant: 0.509 sqrt(Kilogram) per sqrt(Mole) --> 0.509 sqrt(Kilogram) per sqrt(Mole) 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

Z_i = (-ln(γ_±)/(A*sqrt(I)))^(1/2) --> (-ln(0.05)/(0.509*sqrt(0.463)))^(1/2)

Evaluating ... ...

Z_i = 2.94101581688876

STEP 3: Convert Result to Output's Unit

2.94101581688876 --> No Conversion Required

FINAL ANSWER

2.94101581688876 ≈ 2.941016 <-- Charge Number of Ion Species

(Calculation completed in 00.004 seconds)

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< 2 Debey Huckel Limiting Law Calculators

Charge Number of Ion Species using Debey-Huckel Limiting Law

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

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

< 17 Important Formulas of Conductance Calculators

Charge Number of Ion Species using Debey-Huckel Limiting Law

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

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

Dissociation Constant of Acid 1 given Degree of Dissociation of Both Acids

Go Dissociation Constant of Acid 1 = (Dissociation Constant of Acid 2)*((Degree of Dissociation 1/Degree of Dissociation 2)^2)

Dissociation Constant of Base 1 given Degree of Dissociation of Both Bases

Go Dissociation Constant of Base 1 = (Dissociation Constant of Base 2)*((Degree of Dissociation 1/Degree of Dissociation 2)^2)

Distance between Electrode given Conductance and Conductivity

Go Distance between Electrodes = (Specific Conductance*Electrode Cross-sectional Area)/(Conductance)

Conductivity given Conductance

Go Specific Conductance = (Conductance)*(Distance between Electrodes/Electrode Cross-sectional Area)

Equilibrium Constant given Degree of Dissociation

Go Equilibrium Constant = Initial Concentration*Degree of Dissociation^2/(1-Degree of Dissociation)

Molar Conductivity at Infinite Dilution

Go Molar Conductivity at Infinite Dilution = (Mobility of Cation+Mobility of Anion)*[Faraday]

Degree of Dissociation given Concentration and Dissociation Constant of Weak Electrolyte

Go Degree of Dissociation = sqrt(Dissociation Constant of Weak Acid/Ionic Concentration)

Dissociation Constant given Degree of Dissociation of Weak Electrolyte

Go Dissociation Constant of Weak Acid = Ionic Concentration*((Degree of Dissociation)^2)

Degree of Dissociation

Go Degree of Dissociation = Molar Conductivity/Limiting Molar Conductivity

Conductivity given Molar Volume of Solution

Go Specific Conductance = (Solution Molar Conductivity/Molar Volume)

Equivalent Conductance

Go Equivalent Conductance = Specific Conductance*Volume of Solution

Conductivity given Cell Constant

Go Specific Conductance = (Conductance*Cell Constant)

Molar Conductance

Go Molar Conductance = Specific Conductance/Molarity

Specific Conductance

Go Specific Conductance = 1/Resistivity

Conductance

Go Conductance = 1/Resistance

Charge Number of Ion Species using Debey-Huckel Limiting Law Formula

Charge Number of Ion Species = (-ln(Mean Activity Coefficient)/(Debye Huckel limiting Law Constant*sqrt(Ionic Strength)))^(1/2)
Z_i = (-ln(γ_±)/(A*sqrt(I)))^(1/2)

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 Charge Number of Ion Species using Debey-Huckel Limiting Law?

Charge Number of Ion Species using Debey-Huckel Limiting Law calculator uses Charge Number of Ion Species = (-ln(Mean Activity Coefficient)/(Debye Huckel limiting Law Constant*sqrt(Ionic Strength)))^(1/2) to calculate the Charge Number of Ion Species, The Charge Number of Ion Species using Debey-Huckel Limiting Law formula is defined as the relationship of charge number with mean activity coefficient and ionic activity of the electrolyte. Charge Number of Ion Species is denoted by Z_i symbol.

How to calculate Charge Number of Ion Species using Debey-Huckel Limiting Law using this online calculator? To use this online calculator for Charge Number of Ion Species using Debey-Huckel Limiting Law, enter Mean Activity Coefficient (γ_±), Debye Huckel limiting Law Constant (A) & Ionic Strength (I) and hit the calculate button. Here is how the Charge Number of Ion Species using Debey-Huckel Limiting Law calculation can be explained with given input values -> 1.414681 = (-ln(0.05)/(0.509*sqrt(0.463)))^(1/2).

FAQ

What is Charge Number of Ion Species using Debey-Huckel Limiting Law?

The Charge Number of Ion Species using Debey-Huckel Limiting Law formula is defined as the relationship of charge number with mean activity coefficient and ionic activity of the electrolyte and is represented as Z_i = (-ln(γ_±)/(A*sqrt(I)))^(1/2) or Charge Number of Ion Species = (-ln(Mean Activity Coefficient)/(Debye Huckel limiting Law Constant*sqrt(Ionic Strength)))^(1/2). 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 Ionic Strength of a solution is a measure of the electrical intensity due to the presence of ions in the solution.

How to calculate Charge Number of Ion Species using Debey-Huckel Limiting Law?

The Charge Number of Ion Species using Debey-Huckel Limiting Law formula is defined as the relationship of charge number with mean activity coefficient and ionic activity of the electrolyte is calculated using Charge Number of Ion Species = (-ln(Mean Activity Coefficient)/(Debye Huckel limiting Law Constant*sqrt(Ionic Strength)))^(1/2). To calculate Charge Number of Ion Species using Debey-Huckel Limiting Law, you need Mean Activity Coefficient (γ_±), Debye Huckel limiting Law Constant (A) & Ionic Strength (I). With our tool, you need to enter the respective value for Mean Activity Coefficient, Debye Huckel limiting Law Constant & 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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