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Number of Positive and Negative Ions of Concentration Cell with Transference Calculator

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✖The Transport Number of Anion is ratio of current carried by anion to total current.ⓘ Transport Number of Anion [t_-]			+10% -10%
✖The Total number of ions is the number of ions present in the electrolytic solution.ⓘ Total number of Ions [ν]			+10% -10%
✖Temperature is the degree or intensity of heat present in a substance or object.ⓘ Temperature [T]			+10% -10%
✖The EMF of Cell or electromotive force of a cell is the maximum potential difference between two electrodes of a cell.ⓘ EMF of Cell [EMF]			+10% -10%
✖The Valencies of positive and negative ions is the valency of electrolytes with respect to electrodes with which ions are reversible.ⓘ Valencies of Positive and Negative Ions [Z±]			+10% -10%
✖Cathodic Ionic Activity is the measure of the effective concentration of a molecule or ionic species in a cathodic half-cell.ⓘ Cathodic Ionic Activity [a₂]			+10% -10%
✖The Anodic Ionic Activity is the measure of the effective concentration of a molecule or ionic species in an anodic half cell.ⓘ Anodic Ionic Activity [a₁]			+10% -10%

✖The Number of Positive and Negative Ions is the amount of cations and anions present in the electrolytic solution.ⓘ Number of Positive and Negative Ions of Concentration Cell with Transference [v±]

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Number of Positive and Negative Ions of Concentration Cell with Transference Solution

STEP 0: Pre-Calculation Summary

Formula Used

Number of Positive and Negative Ions = ((Transport Number of Anion*Total number of Ions*[R]*Temperature)/(EMF of Cell*Valencies of Positive and Negative Ions*[Faraday]))*ln(Cathodic Ionic Activity/Anodic Ionic Activity)
v± = ((t_-*ν*[R]*T)/(EMF*Z±*[Faraday]))*ln(a₂/a₁)
This formula uses 2 Constants, 1 Functions, 8 Variables

Constants Used

[Faraday] - Faraday constant Value Taken As 96485.33212
[R] - Universal gas constant Value Taken As 8.31446261815324

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

Number of Positive and Negative Ions - The Number of Positive and Negative Ions is the amount of cations and anions present in the electrolytic solution.
Transport Number of Anion - The Transport Number of Anion is ratio of current carried by anion to total current.
Total number of Ions - The Total number of ions is the number of ions present in the electrolytic solution.
Temperature - (Measured in Kelvin) - Temperature is the degree or intensity of heat present in a substance or object.
EMF of Cell - (Measured in Volt) - The EMF of Cell or electromotive force of a cell is the maximum potential difference between two electrodes of a cell.
Valencies of Positive and Negative Ions - The Valencies of positive and negative ions is the valency of electrolytes with respect to electrodes with which ions are reversible.
Cathodic Ionic Activity - (Measured in Mole per Kilogram) - Cathodic Ionic Activity is the measure of the effective concentration of a molecule or ionic species in a cathodic half-cell.
Anodic Ionic Activity - (Measured in Mole per Kilogram) - The Anodic Ionic Activity is the measure of the effective concentration of a molecule or ionic species in an anodic half cell.

STEP 1: Convert Input(s) to Base Unit

Transport Number of Anion: 49 --> No Conversion Required
Total number of Ions: 110 --> No Conversion Required
Temperature: 298 Kelvin --> 298 Kelvin No Conversion Required
EMF of Cell: 0.5 Volt --> 0.5 Volt No Conversion Required
Valencies of Positive and Negative Ions: 2 --> No Conversion Required
Cathodic Ionic Activity: 0.36 Mole per Kilogram --> 0.36 Mole per Kilogram No Conversion Required
Anodic Ionic Activity: 0.2 Mole per Kilogram --> 0.2 Mole per Kilogram No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

v± = ((t_-*ν*[R]*T)/(EMF*Z±*[Faraday]))*ln(a₂/a₁) --> ((49*110*[R]*298)/(0.5*2*[Faraday]))*ln(0.36/0.2)

Evaluating ... ...

v± = 81.3575098114767

STEP 3: Convert Result to Output's Unit

81.3575098114767 --> No Conversion Required

FINAL ANSWER

81.3575098114767 ≈ 81.35751 <-- Number of Positive and Negative Ions

(Calculation completed in 00.020 seconds)

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< Electrolytes and Ions Calculators

Time required for Flowing of Charge given Mass and Time

LaTeX Go Total Time Taken = Mass of Ions/(Electrochemical Equivalent of Element*Electric Current)

Cell Potential given Electrochemical Work

LaTeX Go Cell Potential = (Work Done/(Moles of Electron Transferred*[Faraday]))

Quantity of Charges given Mass of Substance

LaTeX Go Charge = Mass of Ions/Electrochemical Equivalent of Element

Ionic Mobility

LaTeX Go Ionic Mobility = Speed of Ions/Potential Gradient

Number of Positive and Negative Ions of Concentration Cell with Transference Formula

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What is concentration cell with transference?

A cell in which the transference of a substance from a system of high concentration to one at low concentration results in the production of electrical energy is called a concentration cell. It consists of two half cells having two identical electrodes and identical electrolytes but with different concentrations. EMF of this cell depends upon the difference of concentration. In a concentration cell with transference, there is a direct transference of electrolytes. The same electrode is reversible with respect to one of the ions of the electrolyte.

How to Calculate Number of Positive and Negative Ions of Concentration Cell with Transference?

Number of Positive and Negative Ions of Concentration Cell with Transference calculator uses Number of Positive and Negative Ions = ((Transport Number of Anion*Total number of Ions*[R]*Temperature)/(EMF of Cell*Valencies of Positive and Negative Ions*[Faraday]))*ln(Cathodic Ionic Activity/Anodic Ionic Activity) to calculate the Number of Positive and Negative Ions, The Number of Positive and Negative Ions of Concentration Cell with Transference formula is defined as as the relation with the total number of ions and the valencies of the electrolytes. Number of Positive and Negative Ions is denoted by v± symbol.

How to calculate Number of Positive and Negative Ions of Concentration Cell with Transference using this online calculator? To use this online calculator for Number of Positive and Negative Ions of Concentration Cell with Transference, enter Transport Number of Anion (t_-), Total number of Ions (ν), Temperature (T), EMF of Cell (EMF), Valencies of Positive and Negative Ions (Z±), Cathodic Ionic Activity (a₂) & Anodic Ionic Activity (a₁) and hit the calculate button. Here is how the Number of Positive and Negative Ions of Concentration Cell with Transference calculation can be explained with given input values -> 81.35751 = ((49*110*[R]*298)/(0.5*2*[Faraday]))*ln(0.36/0.2).

FAQ

What is Number of Positive and Negative Ions of Concentration Cell with Transference?

The Number of Positive and Negative Ions of Concentration Cell with Transference formula is defined as as the relation with the total number of ions and the valencies of the electrolytes and is represented as v± = ((t_-*ν*[R]*T)/(EMF*Z±*[Faraday]))*ln(a₂/a₁) or Number of Positive and Negative Ions = ((Transport Number of Anion*Total number of Ions*[R]*Temperature)/(EMF of Cell*Valencies of Positive and Negative Ions*[Faraday]))*ln(Cathodic Ionic Activity/Anodic Ionic Activity). The Transport Number of Anion is ratio of current carried by anion to total current, The Total number of ions is the number of ions present in the electrolytic solution, Temperature is the degree or intensity of heat present in a substance or object, The EMF of Cell or electromotive force of a cell is the maximum potential difference between two electrodes of a cell, The Valencies of positive and negative ions is the valency of electrolytes with respect to electrodes with which ions are reversible, Cathodic Ionic Activity is the measure of the effective concentration of a molecule or ionic species in a cathodic half-cell & The Anodic Ionic Activity is the measure of the effective concentration of a molecule or ionic species in an anodic half cell.

How to calculate Number of Positive and Negative Ions of Concentration Cell with Transference?

The Number of Positive and Negative Ions of Concentration Cell with Transference formula is defined as as the relation with the total number of ions and the valencies of the electrolytes is calculated using Number of Positive and Negative Ions = ((Transport Number of Anion*Total number of Ions*[R]*Temperature)/(EMF of Cell*Valencies of Positive and Negative Ions*[Faraday]))*ln(Cathodic Ionic Activity/Anodic Ionic Activity). To calculate Number of Positive and Negative Ions of Concentration Cell with Transference, you need Transport Number of Anion (t_-), Total number of Ions (ν), Temperature (T), EMF of Cell (EMF), Valencies of Positive and Negative Ions (Z±), Cathodic Ionic Activity (a₂) & Anodic Ionic Activity (a₁). With our tool, you need to enter the respective value for Transport Number of Anion, Total number of Ions, Temperature, EMF of Cell, Valencies of Positive and Negative Ions, Cathodic Ionic Activity & Anodic Ionic Activity 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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