Cell Potential given Change in Gibbs Free Energy Solution

STEP 0: Pre-Calculation Summary
Formula Used
Cell Potential = -Gibbs Free Energy Change/(Moles of Electron Transferred*[Faraday])
Ecell = -ΔG/(n*[Faraday])
This formula uses 1 Constants, 3 Variables
Constants Used
[Faraday] - Faraday constant Value Taken As 96485.33212
Variables Used
Cell Potential - (Measured in Volt) - The Cell Potential is the difference between the electrode potential of two electrodes constituting the electrochemical cell.
Gibbs Free Energy Change - (Measured in Joule) - The Gibbs Free Energy Change is a measure of the maximum amount of work that can be performed during a chemical process ( ΔG=wmax ).
Moles of Electron Transferred - The Moles of Electron Transferred is the amount of electrons taking part in the cell reaction.
STEP 1: Convert Input(s) to Base Unit
Gibbs Free Energy Change: -70 Kilojoule --> -70000 Joule (Check conversion ​here)
Moles of Electron Transferred: 4 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Ecell = -ΔG/(n*[Faraday]) --> -(-70000)/(4*[Faraday])
Evaluating ... ...
Ecell = 0.18137471899081
STEP 3: Convert Result to Output's Unit
0.18137471899081 Volt --> No Conversion Required
FINAL ANSWER
0.18137471899081 0.181375 Volt <-- Cell Potential
(Calculation completed in 00.020 seconds)

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K J Somaiya College of science (K J Somaiya), Mumbai
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Cell Potential given Change in Gibbs Free Energy Formula

​LaTeX ​Go
Cell Potential = -Gibbs Free Energy Change/(Moles of Electron Transferred*[Faraday])
Ecell = -ΔG/(n*[Faraday])

What is the Relationship between Cell Potential & Free Energy?

Electrochemical cells convert chemical energy to electrical energy and vice versa. The total amount of energy produced by an electrochemical cell, and thus the amount of energy available to do electrical work, depends on both the cell potential and the total number of electrons that are transferred from the reductant to the oxidant during the course of a reaction. The resulting electric current is measured in coulombs (C), an SI unit that measures the number of electrons passing a given point in 1 s. A coulomb relates energy (in joules) to electrical potential (in volts). Electric current is measured in amperes (A); 1 A is defined as the flow of 1 C/s past a given point (1 C = 1 A·s).

How to Calculate Cell Potential given Change in Gibbs Free Energy?

Cell Potential given Change in Gibbs Free Energy calculator uses Cell Potential = -Gibbs Free Energy Change/(Moles of Electron Transferred*[Faraday]) to calculate the Cell Potential, The Cell potential given change in Gibbs free energy formula is defined as the negative ratio of Gibbs change in energy to the total charge transferred during the reaction (nF). Cell Potential is denoted by Ecell symbol.

How to calculate Cell Potential given Change in Gibbs Free Energy using this online calculator? To use this online calculator for Cell Potential given Change in Gibbs Free Energy, enter Gibbs Free Energy Change (ΔG) & Moles of Electron Transferred (n) and hit the calculate button. Here is how the Cell Potential given Change in Gibbs Free Energy calculation can be explained with given input values -> 0.181375 = -(-70000)/(4*[Faraday]).

FAQ

What is Cell Potential given Change in Gibbs Free Energy?
The Cell potential given change in Gibbs free energy formula is defined as the negative ratio of Gibbs change in energy to the total charge transferred during the reaction (nF) and is represented as Ecell = -ΔG/(n*[Faraday]) or Cell Potential = -Gibbs Free Energy Change/(Moles of Electron Transferred*[Faraday]). The Gibbs Free Energy Change is a measure of the maximum amount of work that can be performed during a chemical process ( ΔG=wmax ) & The Moles of Electron Transferred is the amount of electrons taking part in the cell reaction.
How to calculate Cell Potential given Change in Gibbs Free Energy?
The Cell potential given change in Gibbs free energy formula is defined as the negative ratio of Gibbs change in energy to the total charge transferred during the reaction (nF) is calculated using Cell Potential = -Gibbs Free Energy Change/(Moles of Electron Transferred*[Faraday]). To calculate Cell Potential given Change in Gibbs Free Energy, you need Gibbs Free Energy Change (ΔG) & Moles of Electron Transferred (n). With our tool, you need to enter the respective value for Gibbs Free Energy Change & Moles of Electron Transferred 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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