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Faraday Electrolysis Calculator

· Last updated:2026-09-02

m = M·I·t/(n·F) with unit selectors for current and time: charge passed, moles of electrons, and the mass deposited.

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Written by the Elysia Tools team

Tool usage guide

Learn when to use this tool, what it supports, and how real users apply it.

Key facts

Category
Science & Education
Input types
number, select
Output type
text
Sample coverage
4
API ready
Yes

Overview

The Faraday Electrolysis Calculator computes the mass of substance deposited or liberated during electrolysis using Faraday's first and second laws (m = M·I·t/(n·F)). By inputting molar mass, current, duration, and the number of electrons transferred per ion, you can instantly determine total electric charge, moles of transferred electrons, and theoretical mass yield.

When to use

  • Determining theoretical metal yield during electroplating and surface finishing processes.
  • Solving electrochemistry homework problems involving Faraday's constant and coulombs-to-moles conversions.
  • Calibrating experimental coulometry setups by comparing observed deposited mass with theoretical mass.

How it works

  1. 1Enter the molar mass (M) in g/mol and the valence electron count (n) required per ion reduction or oxidation.
  2. 2Specify the current (I) in amperes or milliamperes alongside the duration (t) in seconds, minutes, or hours.
  3. 3The tool calculates total charge (Q = I·t) and divides by Faraday's constant (F ≈ 96485 C/mol) to find moles of electrons.
  4. 4The final output displays the moles deposited and theoretical mass yield in grams based on m = (M·I·t)/(n·F).

Use cases

  • Electroplating thickness and mass estimation for copper, nickel, silver, or gold baths.
  • Chemistry laboratory pre-lab calculations and verification of coulometric titrations.
  • Electrochemical engineering estimations for industrial metal extraction and electrowinning.

Examples

1. Copper Electroplating Yield

Plating Technician

Background

A technician runs an acid copper bath (Cu²⁺) for an electroforming workpiece.

Problem

Calculate how much copper is deposited when running a steady 2 A current for 1 hour.

How to use

Set Molar Mass to 63.546 g/mol, Current to 2 A, Time to 1 h, and Electrons per ion (n) to 2.

Outcome

Calculates 7,200 C total charge passed (0.0746 mol e⁻) resulting in 2.371 g of deposited copper.

2. Silver Coulometer Calibration

Chemistry Student

Background

A student needs to verify charge transfer using silver nitrate solution where Ag⁺ accepts 1 electron.

Problem

Determine the mass of silver deposited after passing 1 A of current for 15 minutes.

How to use

Set Molar Mass to 107.868 g/mol, Current to 1 A, Time to 15 min, and Electrons per ion (n) to 1.

Outcome

Calculates 900 C total charge (0.00933 mol e⁻) yielding 1.006 g of deposited silver.

FAQ

What is the formula used in this electrolysis calculator?

It uses Faraday's law of electrolysis: m = (M × I × t) / (n × F), where M is molar mass, I is current, t is time in seconds, n is valence number, and F is Faraday's constant (~96,485 C/mol).

What is the value of Faraday's constant (F)?

The calculator uses the standard Faraday constant of approximately 96,485.33 C/mol, representing the electric charge per mole of electrons.

What does the valence number 'n' represent?

The variable 'n' represents the number of electrons transferred per ion during the redox reaction (for example, n = 2 for Cu²⁺ or n = 1 for Ag⁺).

Does this calculation account for current efficiency losses?

No, the calculator yields the theoretical 100% Faradaic yield. Actual deposited mass in practical cells may be lower due to secondary reactions.

Which time and current units can be used?

Current can be specified in amperes (A) or milliamperes (mA), and duration can be set in seconds (s), minutes (min), or hours (h).

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