EMF of Cell using Nerst Equation given Reaction Quotient at Any Temperature Solution

STEP 0: Pre-Calculation Summary
Formula Used
EMF of Cell = Standard Potential of Cell-([R]*Temperature*ln(Reaction Quotient)/([Faraday]*Ionic Charge))
EMF = E0cell-([R]*T*ln(Q)/([Faraday]*z))
This formula uses 2 Constants, 1 Functions, 5 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
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.
Standard Potential of Cell - (Measured in Volt) - The Standard Potential of Cell is the potential of the cell under standard state conditions, which is approximated with concentrations of 1 mole per liter (1 M) and pressures of 1 atmosphere at 25 °C.
Temperature - (Measured in Kelvin) - Temperature is the degree or intensity of heat present in a substance or object.
Reaction Quotient - The reaction quotient (Q) measures the relative amounts of products and reactants present during a reaction at a particular point in time.
Ionic Charge - (Measured in Coulomb) - The Ionic Charge is the electrical charge of an ion, created by the gain (negative charge) or loss (positive charge) of one or more electrons from an atom or group of atoms.
STEP 1: Convert Input(s) to Base Unit
Standard Potential of Cell: 0.34 Volt --> 0.34 Volt No Conversion Required
Temperature: 85 Kelvin --> 85 Kelvin No Conversion Required
Reaction Quotient: 50 --> No Conversion Required
Ionic Charge: 2.1 Coulomb --> 2.1 Coulomb No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
EMF = E0cell-([R]*T*ln(Q)/([Faraday]*z)) --> 0.34-([R]*85*ln(50)/([Faraday]*2.1))
Evaluating ... ...
EMF = 0.326354988060527
STEP 3: Convert Result to Output's Unit
0.326354988060527 Volt --> No Conversion Required
FINAL ANSWER
0.326354988060527 0.326355 Volt <-- EMF of Cell
(Calculation completed in 00.004 seconds)

Credits

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Created by Pragati Jaju
College Of Engineering (COEP), Pune
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Verified by Akshada Kulkarni
National Institute of Information Technology (NIIT), Neemrana
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EMF of Concentration Cell Calculators

EMF of Concentration Cell without Transference given Molalities and Activity Coefficient
​ LaTeX ​ Go EMF of Cell = 2*(([R]*Temperature)/[Faraday])*(ln((Cathodic Electrolyte Molality*Cathodic Activity Coefficient)/(Anodic Electrolyte Molality*Anodic Activity Coefficient)))
EMF of Concentration Cell without Transference given Concentration and Fugacity
​ LaTeX ​ Go EMF of Cell = 2*(([R]*Temperature)/[Faraday])*ln((Cathodic Concentration*Cathodic Fugacity)/(Anodic Concentration*Anodic Fugacity))
EMF of Concentration Cell without Transference given Activities
​ LaTeX ​ Go EMF of Cell = (([R]*Temperature)/[Faraday])*(ln(Cathodic Ionic Activity/Anodic Ionic Activity))
EMF of Due Cell
​ LaTeX ​ Go EMF of Cell = Standard Reduction Potential of Cathode-Standard Oxidation Potential of Anode

EMF of Cell using Nerst Equation given Reaction Quotient at Any Temperature Formula

​LaTeX ​Go
EMF of Cell = Standard Potential of Cell-([R]*Temperature*ln(Reaction Quotient)/([Faraday]*Ionic Charge))
EMF = E0cell-([R]*T*ln(Q)/([Faraday]*z))

What is Electrode Potential?

In electrochemistry, electrode potential is the electromotive force of a galvanic cell built from a standard reference electrode and another electrode to be characterized. By convention, the reference electrode is the standard hydrogen electrode (SHE). It is defined to have a potential of zero volts.

How to Calculate EMF of Cell using Nerst Equation given Reaction Quotient at Any Temperature?

EMF of Cell using Nerst Equation given Reaction Quotient at Any Temperature calculator uses EMF of Cell = Standard Potential of Cell-([R]*Temperature*ln(Reaction Quotient)/([Faraday]*Ionic Charge)) to calculate the EMF of Cell, The EMF of Cell using Nerst Equation given Reaction Quotient at Any Temperature enables the determination of cell potential under non-standard conditions. It relates the measured cell potential to the reaction quotient and allows the accurate determination of equilibrium constants (including solubility constants). EMF of Cell is denoted by EMF symbol.

How to calculate EMF of Cell using Nerst Equation given Reaction Quotient at Any Temperature using this online calculator? To use this online calculator for EMF of Cell using Nerst Equation given Reaction Quotient at Any Temperature, enter Standard Potential of Cell (E0cell), Temperature (T), Reaction Quotient (Q) & Ionic Charge (z) and hit the calculate button. Here is how the EMF of Cell using Nerst Equation given Reaction Quotient at Any Temperature calculation can be explained with given input values -> 0.325673 = 0.34-([R]*85*ln(50)/([Faraday]*2.1)).

FAQ

What is EMF of Cell using Nerst Equation given Reaction Quotient at Any Temperature?
The EMF of Cell using Nerst Equation given Reaction Quotient at Any Temperature enables the determination of cell potential under non-standard conditions. It relates the measured cell potential to the reaction quotient and allows the accurate determination of equilibrium constants (including solubility constants) and is represented as EMF = E0cell-([R]*T*ln(Q)/([Faraday]*z)) or EMF of Cell = Standard Potential of Cell-([R]*Temperature*ln(Reaction Quotient)/([Faraday]*Ionic Charge)). The Standard Potential of Cell is the potential of the cell under standard state conditions, which is approximated with concentrations of 1 mole per liter (1 M) and pressures of 1 atmosphere at 25 °C, Temperature is the degree or intensity of heat present in a substance or object, The reaction quotient (Q) measures the relative amounts of products and reactants present during a reaction at a particular point in time & The Ionic Charge is the electrical charge of an ion, created by the gain (negative charge) or loss (positive charge) of one or more electrons from an atom or group of atoms.
How to calculate EMF of Cell using Nerst Equation given Reaction Quotient at Any Temperature?
The EMF of Cell using Nerst Equation given Reaction Quotient at Any Temperature enables the determination of cell potential under non-standard conditions. It relates the measured cell potential to the reaction quotient and allows the accurate determination of equilibrium constants (including solubility constants) is calculated using EMF of Cell = Standard Potential of Cell-([R]*Temperature*ln(Reaction Quotient)/([Faraday]*Ionic Charge)). To calculate EMF of Cell using Nerst Equation given Reaction Quotient at Any Temperature, you need Standard Potential of Cell (E0cell), Temperature (T), Reaction Quotient (Q) & Ionic Charge (z). With our tool, you need to enter the respective value for Standard Potential of Cell, Temperature, Reaction Quotient & Ionic Charge 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 Standard Potential of Cell, Temperature, Reaction Quotient & Ionic Charge. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • EMF of Cell = Standard Reduction Potential of Cathode-Standard Oxidation Potential of Anode
  • 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)))
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