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Calculate E Cell for The Following Equation Cu Ag

Reviewed by Calculator Editorial Team

This calculator helps you determine the electromotive force (E cell) for the Cu/Ag half-cell reaction. The E cell represents the maximum electrical potential difference that can be generated by a galvanic cell under standard conditions.

Introduction

When a galvanic cell is constructed with copper (Cu) and silver (Ag) electrodes, an electromotive force (E cell) is generated. This value depends on the standard reduction potentials of the two half-reactions involved.

The standard reduction potential (E°) is the potential difference measured when the nonstandard electrode is a standard hydrogen electrode (SHE) and the reaction quotient is unity. For the Cu/Ag system, we can calculate the E cell using the following formula:

E°cell = E°cathode - E°anode

Where:

  • E°cell is the standard cell potential
  • E°cathode is the standard reduction potential of the cathode reaction
  • E°anode is the standard reduction potential of the anode reaction

How to Use This Calculator

To calculate the E cell for the Cu/Ag reaction:

  1. Enter the standard reduction potential for the cathode reaction (E°cathode)
  2. Enter the standard reduction potential for the anode reaction (E°anode)
  3. Click the "Calculate" button
  4. View the result and interpretation

Note: The calculator uses standard reduction potentials in volts (V). Make sure to enter values in the correct units.

Standard Reduction Potentials

The standard reduction potentials for common half-reactions are as follows:

Half-Reaction Standard Reduction Potential (E°)
Ag⁺ + e⁻ → Ag +0.80 V
Cu²⁺ + 2e⁻ → Cu +0.34 V

For the Cu/Ag galvanic cell, silver acts as the cathode and copper as the anode.

Calculation Method

The electromotive force (E cell) for a galvanic cell is calculated by subtracting the standard reduction potential of the anode from the standard reduction potential of the cathode:

E°cell = E°cathode - E°anode

This formula gives the maximum electrical potential difference that can be generated by the cell under standard conditions.

Example Calculation

Let's calculate the E cell for a galvanic cell with the following half-reactions:

  • Cathode: Ag⁺ + e⁻ → Ag (E°cathode = +0.80 V)
  • Anode: Cu → Cu²⁺ + 2e⁻ (E°anode = +0.34 V)

Using the formula:

E°cell = E°cathode - E°anode = 0.80 V - 0.34 V = 0.46 V

The calculated E cell for this galvanic cell is 0.46 volts.

FAQ

What is the standard reduction potential?
The standard reduction potential is the potential difference measured when the nonstandard electrode is a standard hydrogen electrode (SHE) and the reaction quotient is unity.
How do I determine which electrode is the cathode and which is the anode?
The electrode with the higher standard reduction potential acts as the cathode (where reduction occurs), and the electrode with the lower standard reduction potential acts as the anode (where oxidation occurs).
What units are used for standard reduction potentials?
Standard reduction potentials are typically measured in volts (V).
Can I use this calculator for other metal pairs?
Yes, you can use this calculator for any metal pair by entering their respective standard reduction potentials.
What is the significance of the E cell value?
The E cell value represents the maximum electrical potential difference that can be generated by a galvanic cell under standard conditions. It indicates the cell's ability to do work.