Activity Coefficient of Anodic Electrolyte of Concentration Cell with Transference Calculator

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✖The Cathodic Electrolyte Molality is defined as the total number of moles of solute per kilogram of solvent present in the solution of the cathodic cell.ⓘ Cathodic Electrolyte Molality [m₂]			+10% -10%
✖The Cathodic Activity Coefficient is a factor used in thermodynamics to account for deviations from ideal behaviour in a mixture of chemical substances in the cathodic half cell.ⓘ Cathodic Activity Coefficient [γ₂]			+10% -10%
✖The Anodic Electrolyte Molality is defined as the total number of moles of solute per kilogram of solvent present in the solution of the anodic cell.ⓘ Anodic Electrolyte Molality [m₁]			+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 [E_cell]			+10% -10%
✖The Transport Number of Anion is ratio of current carried by anion to total current.ⓘ Transport Number of Anion [t_-]			+10% -10%

✖The Anodic Activity Coefficient is a factor used in thermodynamics to account for deviations from ideal behaviour in a mixture of chemical substances in the anodic half cell.ⓘ Activity Coefficient of Anodic Electrolyte of Concentration Cell with Transference [γ₁]

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Formula

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Activity Coefficient of Anodic Electrolyte of Concentration Cell with Transference

Formula

`"γ"_{"1"} = (("m"_{"2"}*"γ"_{"2"})/"m"_{"1"})/(exp(("E"_{"cell"}*"[Faraday]")/(2*"t"_{"-"}*"[R]")))`

Example

`"1.9E^-28"=(("0.13mol/kg"*"0.1")/"0.4mol/kg")/(exp(("0.51V"*"[Faraday]")/(2*"49"*"[R]")))`

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Activity Coefficient of Anodic Electrolyte of Concentration Cell with Transference Solution

STEP 0: Pre-Calculation Summary

Formula Used

Anodic Activity Coefficient = ((Cathodic Electrolyte Molality*Cathodic Activity Coefficient)/Anodic Electrolyte Molality)/(exp((EMF of Cell*[Faraday])/(2*Transport Number of Anion*[R])))
γ₁ = ((m₂*γ₂)/m₁)/(exp((E_cell*[Faraday])/(2*t_-*[R])))
This formula uses 3 Constants, 1 Functions, 6 Variables

Constants Used

[Faraday] - Faraday constant Value Taken As 96485.33212 Coulomb / Mole
[R] - Universal gas constant Value Taken As 8.31446261815324 Joule / Kelvin * Mole
e - Napier's constant Value Taken As 2.71828182845904523536028747135266249

Functions Used

exp - Exponential function, exp(Number)

Variables Used

Anodic Activity Coefficient - The Anodic Activity Coefficient is a factor used in thermodynamics to account for deviations from ideal behaviour in a mixture of chemical substances in the anodic half cell.
Cathodic Electrolyte Molality - (Measured in Mole per Kilogram) - The Cathodic Electrolyte Molality is defined as the total number of moles of solute per kilogram of solvent present in the solution of the cathodic cell.
Cathodic Activity Coefficient - The Cathodic Activity Coefficient is a factor used in thermodynamics to account for deviations from ideal behaviour in a mixture of chemical substances in the cathodic half cell.
Anodic Electrolyte Molality - (Measured in Mole per Kilogram) - The Anodic Electrolyte Molality is defined as the total number of moles of solute per kilogram of solvent present in the solution of the anodic cell.
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.
Transport Number of Anion - The Transport Number of Anion is ratio of current carried by anion to total current.

STEP 1: Convert Input(s) to Base Unit

Cathodic Electrolyte Molality: 0.13 Mole per Kilogram --> 0.13 Mole per Kilogram No Conversion Required
Cathodic Activity Coefficient: 0.1 --> No Conversion Required
Anodic Electrolyte Molality: 0.4 Mole per Kilogram --> 0.4 Mole per Kilogram No Conversion Required
EMF of Cell: 0.51 Volt --> 0.51 Volt No Conversion Required
Transport Number of Anion: 49 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

γ₁ = ((m₂*γ₂)/m₁)/(exp((E_cell*[Faraday])/(2*t_-*[R]))) --> ((0.13*0.1)/0.4)/(exp((0.51*[Faraday])/(2*49*[R])))

Evaluating ... ...

γ₁ = 1.92515754145933E-28

STEP 3: Convert Result to Output's Unit

1.92515754145933E-28 --> No Conversion Required

FINAL ANSWER

1.92515754145933E-28 <-- Anodic Activity Coefficient

(Calculation completed in 00.032 seconds)

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K J Somaiya College of science (K J Somaiya), Mumbai

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Activity Coefficient of Cathodic Electrolyte of Concentration Cell with Transference

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Activity Coefficient of Cathodic Electrolyte of Concentration Cell with Transference

Formula

`"γ"_{"2"} = (exp(("E"_{"cell"}*"[Faraday]")/(2*"t"_{"-"}*"[R]")))*(("m"_{"1"}*"γ"_{"1"})/"m"_{"2"})`

Example

`"2.9E^27"=(exp(("0.51V"*"[Faraday]")/(2*"49"*"[R]")))*(("0.4mol/kg"*"5.5")/"0.13mol/kg")`

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LaTeX

Go Cathodic Activity Coefficient = (exp((EMF of Cell*[Faraday])/(2*Transport Number of Anion*[R])))*((Anodic Electrolyte Molality*Anodic Activity Coefficient)/Cathodic Electrolyte Molality)

Activity Coefficient of Anodic Electrolyte of Concentration Cell with Transference

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Activity Coefficient of Anodic Electrolyte of Concentration Cell with Transference

Formula

`"γ"_{"1"} = (("m"_{"2"}*"γ"_{"2"})/"m"_{"1"})/(exp(("E"_{"cell"}*"[Faraday]")/(2*"t"_{"-"}*"[R]")))`

Example

`"1.9E^-28"=(("0.13mol/kg"*"0.1")/"0.4mol/kg")/(exp(("0.51V"*"[Faraday]")/(2*"49"*"[R]")))`

Calculator

LaTeX

Go Anodic Activity Coefficient = ((Cathodic Electrolyte Molality*Cathodic Activity Coefficient)/Anodic Electrolyte Molality)/(exp((EMF of Cell*[Faraday])/(2*Transport Number of Anion*[R])))

Activity Coefficient of Cathodic Electrolyte of Concentration Cell without Transference

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Activity Coefficient of Cathodic Electrolyte of Concentration Cell without Transference

Formula

`"γ"_{"2"} = (exp(("E"_{"cell"}*"[Faraday]")/(2*"[R]"*"T")))*(("m"_{"1"}*"γ"_{"1"})/"m"_{"2"})`

Example

`"2.2E^16"=(exp(("0.51V"*"[Faraday]")/(2*"[R]"*"85K")))*(("0.4mol/kg"*"5.5")/"0.13mol/kg")`

Calculator

LaTeX

Go Cathodic Activity Coefficient = (exp((EMF of Cell*[Faraday])/(2*[R]*Temperature)))*((Anodic Electrolyte Molality*Anodic Activity Coefficient)/Cathodic Electrolyte Molality)

Activity Coefficient of Anodic Electrolyte of Concentration Cell without Transference

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Activity Coefficient of Anodic Electrolyte of Concentration Cell without Transference

Formula

`"γ"_{"1"} = (("m"_{"2"}*"γ"_{"2"})/"m"_{"1"})/(exp(("E"_{"cell"}*"[Faraday]")/(2*"[R]"*"T")))`

Example

`"2.5E^-17"=(("0.13mol/kg"*"0.1")/"0.4mol/kg")/(exp(("0.51V"*"[Faraday]")/(2*"[R]"*"85K")))`

Calculator

LaTeX

Go Anodic Activity Coefficient = ((Cathodic Electrolyte Molality*Cathodic Activity Coefficient)/Anodic Electrolyte Molality)/(exp((EMF of Cell*[Faraday])/(2*[R]*Temperature)))

Activity of Cathodic Electrolyte of Concentration Cell with Transference

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Activity of Cathodic Electrolyte of Concentration Cell with Transference

Formula

`"a"_{"2"} = (exp(("E"_{"cell"}*"[Faraday]")/("t"_{"-"}*"[R]"*"T")))*"a"_{"1"}`

Example

`"0.82822mol/kg"=(exp(("0.51V"*"[Faraday]")/("49"*"[R]"*"85K")))*"0.2mol/kg"`

Calculator

LaTeX

Go Cathodic Ionic Activity = (exp((EMF of Cell*[Faraday])/(Transport Number of Anion*[R]*Temperature)))*Anodic Ionic Activity

Activity of Anodic Electrolyte of Concentration Cell with Transference

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Activity of Anodic Electrolyte of Concentration Cell with Transference

Formula

`"a"_{"1"} = "a"_{"2"}/(exp(("E"_{"cell"}*"[Faraday]")/("t"_{"-"}*"[R]"*"T")))`

Example

`"0.086933mol/kg"="0.36mol/kg"/(exp(("0.51V"*"[Faraday]")/("49"*"[R]"*"85K")))`

Calculator

LaTeX

Go Anodic Ionic Activity = Cathodic Ionic Activity/(exp((EMF of Cell*[Faraday])/(Transport Number of Anion*[R]*Temperature)))

Activity of Cathodic Electrolyte of Concentration Cell without Transference

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Activity of Cathodic Electrolyte of Concentration Cell without Transference

Formula

`"a"_{"2"} = "a"_{"1"}*(exp(("E"_{"cell"}*"[Faraday]")/("[R]"*"T")))`

Example

`"3.5E^29mol/kg"="0.2mol/kg"*(exp(("0.51V"*"[Faraday]")/("[R]"*"85K")))`

Calculator

LaTeX

Go Cathodic Ionic Activity = Anodic Ionic Activity*(exp((EMF of Cell*[Faraday])/([R]*Temperature)))

Activity of Anodic Electrolyte of Concentration Cell without Transference

✖

Activity of Anodic Electrolyte of Concentration Cell without Transference

Formula

`"a"_{"1"} = "a"_{"2"}/(exp(("E"_{"cell"}*"[Faraday]")/("[R]"*"T")))`

Example

`"2.1E^-31mol/kg"="0.36mol/kg"/(exp(("0.51V"*"[Faraday]")/("[R]"*"85K")))`

Calculator

LaTeX

Go Anodic Ionic Activity = Cathodic Ionic Activity/(exp((EMF of Cell*[Faraday])/([R]*Temperature)))

Activitiy of Electrolyte given Concentration and Fugacity

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Activitiy of Electrolyte given Concentration and Fugacity

Formula

`"a" = ("c"^2)*("f"^2)`

Example

`"5.9E^9mol/kg"=("5.1mol/L"^2)*("15Pa"^2)`

Calculator

LaTeX

Go Ionic Activity = (Actual Concentration^2)*(Fugacity^2)

Activity Coefficient given Ionic Activity

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Activity Coefficient given Ionic Activity

Formula

`"γ" = ("a"/"m")`

Example

`"15.88235"=("0.54mol/kg"/"0.034mol/kg")`

Calculator

LaTeX

Go Activity Coefficient = (Ionic Activity/Molality)

Activity Coefficient of Anodic Electrolyte of Concentration Cell with Transference 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 Activity Coefficient of Anodic Electrolyte of Concentration Cell with Transference?

Activity Coefficient of Anodic Electrolyte of Concentration Cell with Transference calculator uses Anodic Activity Coefficient = ((Cathodic Electrolyte Molality*Cathodic Activity Coefficient)/Anodic Electrolyte Molality)/(exp((EMF of Cell*[Faraday])/(2*Transport Number of Anion*[R]))) to calculate the Anodic Activity Coefficient, The Activity Coefficient of Anodic Electrolyte of Concentration Cell with Transference formula is defined as the relation with emf of the cell and with the transport number of the anion in the electrolytic solution. Anodic Activity Coefficient is denoted by γ₁ symbol.

How to calculate Activity Coefficient of Anodic Electrolyte of Concentration Cell with Transference using this online calculator? To use this online calculator for Activity Coefficient of Anodic Electrolyte of Concentration Cell with Transference, enter Cathodic Electrolyte Molality (m₂), Cathodic Activity Coefficient (γ₂), Anodic Electrolyte Molality (m₁), EMF of Cell (E_cell) & Transport Number of Anion (t_-) and hit the calculate button. Here is how the Activity Coefficient of Anodic Electrolyte of Concentration Cell with Transference calculation can be explained with given input values -> 1.9E-28 = ((0.13*0.1)/0.4)/(exp((0.51*[Faraday])/(2*49*[R]))).

FAQ

What is Activity Coefficient of Anodic Electrolyte of Concentration Cell with Transference?

The Activity Coefficient of Anodic Electrolyte of Concentration Cell with Transference formula is defined as the relation with emf of the cell and with the transport number of the anion in the electrolytic solution and is represented as γ₁ = ((m₂*γ₂)/m₁)/(exp((E_cell*[Faraday])/(2*t_-*[R]))) or Anodic Activity Coefficient = ((Cathodic Electrolyte Molality*Cathodic Activity Coefficient)/Anodic Electrolyte Molality)/(exp((EMF of Cell*[Faraday])/(2*Transport Number of Anion*[R]))). The Cathodic Electrolyte Molality is defined as the total number of moles of solute per kilogram of solvent present in the solution of the cathodic cell, The Cathodic Activity Coefficient is a factor used in thermodynamics to account for deviations from ideal behaviour in a mixture of chemical substances in the cathodic half cell, The Anodic Electrolyte Molality is defined as the total number of moles of solute per kilogram of solvent present in the solution of the anodic cell, The EMF of Cell or electromotive force of a cell is the maximum potential difference between two electrodes of a cell & The Transport Number of Anion is ratio of current carried by anion to total current.

How to calculate Activity Coefficient of Anodic Electrolyte of Concentration Cell with Transference?

The Activity Coefficient of Anodic Electrolyte of Concentration Cell with Transference formula is defined as the relation with emf of the cell and with the transport number of the anion in the electrolytic solution is calculated using Anodic Activity Coefficient = ((Cathodic Electrolyte Molality*Cathodic Activity Coefficient)/Anodic Electrolyte Molality)/(exp((EMF of Cell*[Faraday])/(2*Transport Number of Anion*[R]))). To calculate Activity Coefficient of Anodic Electrolyte of Concentration Cell with Transference, you need Cathodic Electrolyte Molality (m₂), Cathodic Activity Coefficient (γ₂), Anodic Electrolyte Molality (m₁), EMF of Cell (E_cell) & Transport Number of Anion (t_-). With our tool, you need to enter the respective value for Cathodic Electrolyte Molality, Cathodic Activity Coefficient, Anodic Electrolyte Molality, EMF of Cell & Transport Number of Anion 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 Anodic Activity Coefficient?

In this formula, Anodic Activity Coefficient uses Cathodic Electrolyte Molality, Cathodic Activity Coefficient, Anodic Electrolyte Molality, EMF of Cell & Transport Number of Anion. We can use 1 other way(s) to calculate the same, which is/are as follows -

Anodic Activity Coefficient = ((Cathodic Electrolyte Molality*Cathodic Activity Coefficient)/Anodic Electrolyte Molality)/(exp((EMF of Cell*[Faraday])/(2*[R]*Temperature)))

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