# Faraday Electrolysis Calculator m = M·I·t/(n·F) with unit selectors for current and time: charge passed, moles of electrons, and the mass deposited. > Canonical page: https://elysiatools.com/en/tools/faraday-electrolysis - **Category:** Science & Education - **Keywords:** faradays law of electrolysis, electroplating, mass deposited, faraday constant, coulombs to moles, electrolysis calculator ## 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. ## Inputs - **Molar mass M (g/mol)** (number): e.g. 63.546 - **Current I** (number): e.g. 2 - **Current unit** (select) - **Time t** (number): e.g. 1 - **t unit** (select) - **Electrons per ion n** (number): e.g. 2 ## 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 - Enter the molar mass (M) in g/mol and the valence electron count (n) required per ion reduction or oxidation. - Specify the current (I) in amperes or milliamperes alongside the duration (t) in seconds, minutes, or hours. - The tool calculates total charge (Q = I·t) and divides by Faraday's constant (F ≈ 96485 C/mol) to find moles of electrons. - The 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. ## Frequently asked questions ### 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? 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