Total Number of Ions of Concentration Cell with Transference given Valencies Calculator

✖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 Number of Positive and Negative Ions is the amount of cations and anions present in the electrolytic solution.ⓘ Number of Positive and Negative Ions [v±]			+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%
✖The Transport Number of Anion is ratio of current carried by anion to total current.ⓘ Transport Number of Anion [t_-]			+10% -10%
✖Temperature is the degree or intensity of heat present in a substance or object.ⓘ Temperature [T]			+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 Total number of ions is the number of ions present in the electrolytic solution.ⓘ Total Number of Ions of Concentration Cell with Transference given Valencies [ν]

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Formula

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Total Number of Ions of Concentration Cell with Transference given Valencies

Formula

`"ν" = (("EMF"*"v±"*"Z±"*"[Faraday]")/("t"_{"-"}*"T"*"[R]"))/ln("a"_{"2"}/"a"_{"1"})`

Example

`"109.9898"=(("0.5V"*"81.35"*"2"*"[Faraday]")/("49"*"298K"*"[R]"))/ln("0.36mol/kg"/"0.2mol/kg")`

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Total Number of Ions of Concentration Cell with Transference given Valencies Solution

STEP 0: Pre-Calculation Summary

Formula Used

Total number of Ions = ((EMF of Cell*Number of Positive and Negative Ions*Valencies of Positive and Negative Ions*[Faraday])/(Transport Number of Anion*Temperature*[R]))/ln(Cathodic Ionic Activity/Anodic Ionic Activity)
ν = ((EMF*v±*Z±*[Faraday])/(t_-*T*[R]))/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

Total number of Ions - The Total number of ions is the number of ions present in the electrolytic solution.
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.
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.
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.
Transport Number of Anion - The Transport Number of Anion is ratio of current carried by anion to total current.
Temperature - (Measured in Kelvin) - Temperature is the degree or intensity of heat present in a substance or object.
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

EMF of Cell: 0.5 Volt --> 0.5 Volt No Conversion Required
Number of Positive and Negative Ions: 81.35 --> No Conversion Required
Valencies of Positive and Negative Ions: 2 --> No Conversion Required
Transport Number of Anion: 49 --> No Conversion Required
Temperature: 298 Kelvin --> 298 Kelvin 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

ν = ((EMF*v±*Z±*[Faraday])/(t_-*T*[R]))/ln(a₂/a₁) --> ((0.5*81.35*2*[Faraday])/(49*298*[R]))/ln(0.36/0.2)

Evaluating ... ...

ν = 109.989846305961

STEP 3: Convert Result to Output's Unit

109.989846305961 --> No Conversion Required

FINAL ANSWER

109.989846305961 ≈ 109.9898 <-- Total number of Ions

(Calculation completed in 00.004 seconds)

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< 25 Electrolytes & Ions Calculators

Valencies of Positive and Negative Ions of Concentration Cell with Transference

Go Valencies of Positive and Negative Ions = ((Transport Number of Anion*Total number of Ions*[R]*Temperature)/(EMF of Cell*Number of Positive and Negative Ions*[Faraday]))*ln(Cathodic Ionic Activity/Anodic Ionic Activity)

Total Number of Ions of Concentration Cell with Transference given Valencies

Go Total number of Ions = ((EMF of Cell*Number of Positive and Negative Ions*Valencies of Positive and Negative Ions*[Faraday])/(Transport Number of Anion*Temperature*[R]))/ln(Cathodic Ionic Activity/Anodic Ionic Activity)

Number of Positive and Negative Ions of Concentration Cell with Transference

Go 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)

Fugacity of Cathodic Electrolyte of Concentration Cell without Transference

Go Cathodic Fugacity = (exp((EMF of Cell*[Faraday])/(2*[R]*Temperature)))*((Anodic Concentration*Anodic Fugacity)/(Cathodic Concentration))

Fugacity of Anodic Electrolyte of Concentration Cell without Transference

Go Anodic Fugacity = ((Cathodic Concentration*Cathodic Fugacity)/Anodic Concentration)/(exp((EMF of Cell*[Faraday])/(2*[R]*Temperature)))

pOH of Salt of Strong Base and Weak Acid

Go Negative Log of Hydroxyl Concentration = 14-(Negative Log of Acid Ionization Constant+Negative Log of Ionic Product of Water+log10(Concentration of Salt))/2

pOH of Salt of Weak Base and Strong Base

Go Negative Log of Hydroxyl Concentration = 14-(Negative Log of Ionic Product of Water-Negative Log of Base Ionization Constant-log10(Concentration of Salt))/2

pH of Salt of Weak Acid and Strong Base

Go Negative Log of Hydronium Concentration = (Negative Log of Ionic Product of Water+Negative Log of Acid Ionization Constant+log10(Concentration of Salt))/2

pH of Salt of Weak Base and Strong Base

Go Negative Log of Hydronium Concentration = (Negative Log of Ionic Product of Water-Negative Log of Base Ionization Constant-log10(Concentration of Salt))/2

pOH of Salt of Weak Acid and Weak Base

Go Negative Log of Hydroxyl Concentration = 14-(Negative Log of Ionic Product of Water+Negative Log of Acid Ionization Constant-Negative Log of Base Ionization Constant)/2

pH of Salt of Weak Acid and Weak base

Go Negative Log of Hydronium Concentration = (Negative Log of Ionic Product of Water+Negative Log of Acid Ionization Constant-Negative Log of Base Ionization Constant)/2

pH Value of Ionic Product of Water

Go Negative Log of H+ Conc. for Ionic Pdt. of H₂O = Negative Log of Acid Ionization Constant+Negative Log of Base Ionization Constant

Time required for Flowing of Charge given Mass and Time

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

Cell Potential given Electrochemical Work

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

Concentration of Hydronium Ion using pOH

Go Hydronium Ion Concentration = 10^Negative Log of Hydroxyl Concentration*Ionic Product of Water

Ionic Product of Water

Go Ionic Product of Water = Constant of Ionization of Acids*Constant Of Ionization Of Bases

Fugacity of Electrolyte given Activities

Go Fugacity = (sqrt(Ionic Activity))/Actual Concentration

pOH using Concentration of Hydroxide ion

Go Negative Log of Hydroxyl Concentration = 14+log10(Hydronium Ion Concentration)

pH of Water using Concentration

Go Negative Log of Hydronium Concentration = -log10(Hydronium Ion Concentration)

Quantity of Charges given Mass of Substance

Go Charge = Mass of Ions/Electrochemical Equivalent of Element

Relation between pH and pOH

Go Negative Log of Hydronium Concentration = 14-Negative Log of Hydroxyl Concentration

pOH of Strong acid and Strong base

Go Negative Log of Hydroxyl Concentration = Negative Log of Ionic Product of Water/2

Ionic Mobility

Go Ionic Mobility = Speed of Ions/Potential Gradient

Ionic Activity given Molality of Solution

Go Ionic Activity = (Activity Coefficient*Molality)

Concentration of Hydronium ion using pH

Go Hydronium Ion Concentration = 10^(-Negative Log of Hydronium Concentration)

Total Number of Ions of Concentration Cell with Transference given Valencies Formula

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 Total Number of Ions of Concentration Cell with Transference given Valencies?

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

How to calculate Total Number of Ions of Concentration Cell with Transference given Valencies using this online calculator? To use this online calculator for Total Number of Ions of Concentration Cell with Transference given Valencies, enter EMF of Cell (EMF), Number of Positive and Negative Ions (v±), Valencies of Positive and Negative Ions (Z±), Transport Number of Anion (t_-), Temperature (T), Cathodic Ionic Activity (a₂) & Anodic Ionic Activity (a₁) and hit the calculate button. Here is how the Total Number of Ions of Concentration Cell with Transference given Valencies calculation can be explained with given input values -> 78.41931 = ((0.5*81.35*2*[Faraday])/(49*298*[R]))/ln(0.36/0.2).

FAQ

What is Total Number of Ions of Concentration Cell with Transference given Valencies?

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

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