EMF of Concentration Cell with Transference in Terms of Valencies Solution

STEP 0: Pre-Calculation Summary
Formula Used
EMF of Cell = Transport Number of Anion*(Total number of Ions/(Valencies of Positive and Negative Ions*Number of Positive and Negative Ions))*(([R]*Temperature)/[Faraday])*ln(Cathodic Ionic Activity/Anodic Ionic Activity)
EMF = t-*(ν/(*ν±))*(([R]*T)/[Faraday])*ln(a2/a1)
This formula uses 2 Constants, 1 Functions, 8 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
Functions Used
ln - Natural logarithm function (base e), ln(Number)
Variables Used
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.
Total number of Ions - The Total number of ions is the number of ions 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.
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.
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
Transport Number of Anion: 49 --> No Conversion Required
Total number of Ions: 110 --> No Conversion Required
Valencies of Positive and Negative Ions: 2 --> No Conversion Required
Number of Positive and Negative Ions: 58 --> No Conversion Required
Temperature: 85 Kelvin --> 85 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
EMF = t-*(ν/(Z±*ν±))*(([R]*T)/[Faraday])*ln(a2/a1) --> 49*(110/(2*58))*(([R]*85)/[Faraday])*ln(0.36/0.2)
Evaluating ... ...
EMF = 0.200051733799338
STEP 3: Convert Result to Output's Unit
0.200051733799338 Volt --> No Conversion Required
FINAL ANSWER
0.200051733799338 Volt <-- EMF of Cell
(Calculation completed in 00.020 seconds)

Credits

Created by Prashant Singh
K J Somaiya College of science (K J Somaiya), Mumbai
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National Institute of Technology (NIT), Meghalaya
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10+ EMF of Concentration Cell Calculators

EMF of Concentration Cell with Transference in Terms of Valencies
EMF of Cell = Transport Number of Anion*(Total number of Ions/(Valencies of Positive and Negative Ions*Number of Positive and Negative Ions))*(([R]*Temperature)/[Faraday])*ln(Cathodic Ionic Activity/Anodic Ionic Activity) Go
EMF of Concentration Cell with Transference given Transport Number of Anion
EMF of Cell = 2*Transport Number of Anion*(([R]*Temperature)/[Faraday])*(ln(Cathodic Electrolyte Molality*Cathodic Activity Coefficient)/(Anodic Electrolyte Molality*Anodic Activity Coefficient)) Go
EMF of Concentration Cell without Transference given Molalities and Activity Coefficient
EMF of Cell = 2*(([R]*Temperature)/[Faraday])*(ln((Cathodic Electrolyte Molality*Cathodic Activity Coefficient)/(Anodic Electrolyte Molality*Anodic Activity Coefficient))) Go
EMF of Concentration Cell without Transference given Concentration and Fugacity
EMF of Cell = 2*(([R]*Temperature)/[Faraday])*ln((Cathodic Concentration*Cathodic Fugacity)/(Anodic Concentration*Anodic Fugacity)) Go
EMF of Concentration Cell with Transference given Activities
EMF of Cell = Transport Number of Anion*(([R]*Temperature)/[Faraday])*ln(Cathodic Ionic Activity/Anodic Ionic Activity) Go
EMF of Cell using Nerst Equation given Reaction Quotient at Any Temperature
EMF of Cell = Standard Potential of Cell-([R]*Temperature*ln(Reaction Quotient)/([Faraday]*Ionic Charge)) Go
EMF of Concentration Cell without Transference for Dilute Solution given Concentration
EMF of Cell = 2*(([R]*Temperature)/[Faraday])*ln((Cathodic Concentration/Anodic Concentration)) Go
EMF of Concentration Cell without Transference given Activities
EMF of Cell = (([R]*Temperature)/[Faraday])*(ln(Cathodic Ionic Activity/Anodic Ionic Activity)) Go
EMF of Cell using Nerst Equation given Reaction Quotient at Room Temperature
EMF of Cell = Standard Potential of Cell-(0.0591*log10(Reaction Quotient)/Ionic Charge) Go
EMF of Due Cell
EMF of Cell = Standard Reduction Potential of Cathode-Standard Oxidation Potential of Anode Go

EMF of Concentration Cell with Transference in Terms of Valencies Formula

EMF of Cell = Transport Number of Anion*(Total number of Ions/(Valencies of Positive and Negative Ions*Number of Positive and Negative Ions))*(([R]*Temperature)/[Faraday])*ln(Cathodic Ionic Activity/Anodic Ionic Activity)
EMF = t-*(ν/(*ν±))*(([R]*T)/[Faraday])*ln(a2/a1)

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 EMF of Concentration Cell with Transference in Terms of Valencies?

EMF of Concentration Cell with Transference in Terms of Valencies calculator uses EMF of Cell = Transport Number of Anion*(Total number of Ions/(Valencies of Positive and Negative Ions*Number of Positive and Negative Ions))*(([R]*Temperature)/[Faraday])*ln(Cathodic Ionic Activity/Anodic Ionic Activity) to calculate the EMF of Cell, The EMF of concentration cell with transference in terms of valencies formula is defined as the relation with the ionic activity of electrolyte of the cathodic and anodic half cell at a particular temperature. EMF of Cell is denoted by EMF symbol.

How to calculate EMF of Concentration Cell with Transference in Terms of Valencies using this online calculator? To use this online calculator for EMF of Concentration Cell with Transference in Terms of Valencies, enter Transport Number of Anion (t-), Total number of Ions (ν), Valencies of Positive and Negative Ions (Z±), Number of Positive and Negative Ions (ν±), Temperature (T), Cathodic Ionic Activity (a2) & Anodic Ionic Activity (a1) and hit the calculate button. Here is how the EMF of Concentration Cell with Transference in Terms of Valencies calculation can be explained with given input values -> 0.200052 = 49*(110/(2*58))*(([R]*85)/[Faraday])*ln(0.36/0.2).

FAQ

What is EMF of Concentration Cell with Transference in Terms of Valencies?
The EMF of concentration cell with transference in terms of valencies formula is defined as the relation with the ionic activity of electrolyte of the cathodic and anodic half cell at a particular temperature and is represented as EMF = t-*(ν/(*ν±))*(([R]*T)/[Faraday])*ln(a2/a1) or EMF of Cell = Transport Number of Anion*(Total number of Ions/(Valencies of Positive and Negative Ions*Number of Positive and Negative Ions))*(([R]*Temperature)/[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, The Valencies of positive and negative ions is the valency of electrolytes with respect to electrodes with which ions are reversible, The Number of Positive and Negative Ions is the amount of cations and anions present in the electrolytic solution, 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 EMF of Concentration Cell with Transference in Terms of Valencies?
The EMF of concentration cell with transference in terms of valencies formula is defined as the relation with the ionic activity of electrolyte of the cathodic and anodic half cell at a particular temperature is calculated using EMF of Cell = Transport Number of Anion*(Total number of Ions/(Valencies of Positive and Negative Ions*Number of Positive and Negative Ions))*(([R]*Temperature)/[Faraday])*ln(Cathodic Ionic Activity/Anodic Ionic Activity). To calculate EMF of Concentration Cell with Transference in Terms of Valencies, you need Transport Number of Anion (t-), Total number of Ions (ν), Valencies of Positive and Negative Ions (Z±), Number of Positive and Negative Ions (ν±), Temperature (T), 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, Valencies of Positive and Negative Ions, Number of Positive and Negative Ions, 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.
How many ways are there to calculate EMF of Cell?
In this formula, EMF of Cell uses Transport Number of Anion, Total number of Ions, Valencies of Positive and Negative Ions, Number of Positive and Negative Ions, Temperature, Cathodic Ionic Activity & Anodic Ionic Activity. We can use 6 other way(s) to calculate the same, which is/are as follows -
  • EMF of Cell = (([R]*Temperature)/[Faraday])*(ln(Cathodic Ionic Activity/Anodic Ionic Activity))
  • EMF of Cell = 2*(([R]*Temperature)/[Faraday])*(ln((Cathodic Electrolyte Molality*Cathodic Activity Coefficient)/(Anodic Electrolyte Molality*Anodic Activity Coefficient)))
  • EMF of Cell = 2*(([R]*Temperature)/[Faraday])*ln((Cathodic Concentration*Cathodic Fugacity)/(Anodic Concentration*Anodic Fugacity))
  • EMF of Cell = 2*(([R]*Temperature)/[Faraday])*ln((Cathodic Concentration/Anodic Concentration))
  • EMF of Cell = 2*Transport Number of Anion*(([R]*Temperature)/[Faraday])*(ln(Cathodic Electrolyte Molality*Cathodic Activity Coefficient)/(Anodic Electrolyte Molality*Anodic Activity Coefficient))
  • EMF of Cell = Transport Number of Anion*(([R]*Temperature)/[Faraday])*ln(Cathodic Ionic Activity/Anodic Ionic Activity)
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