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

Conductivity given Cell Constant

LaTeX Go Specific Conductance = (Conductance*Cell Constant)

Conductance

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

LaTeX Go

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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