Electrolysis Calculator - Faraday's Law Mass and Charge

An electrolysis calculator turns Faraday's first law of electrolysis into a quick answer for how much mass an electrode gains or loses when a direct current passes through a cell. Pick the element, type the current in amperes and the run time in seconds, and the calculator returns the mass in grams and milligrams plus the charge in coulombs and ampere-hours, using the NIST Faraday constant of 96485 C/mol.

• • Electroplating Thickness Estimates: Predict the mass of copper, nickel, silver, or gold a bath deposits on a part.
• • Water Electrolysis Gas Yield: Estimate grams of hydrogen and oxygen a cell produces from a fixed battery charge.
• • Electrowinning and Refining: Forecast metal recovery from an ore leach or refining cell using molar mass and current.
• • Lab-Scale Reaction Stoichiometry: Check that the charge passed matches the expected mass change at the electrode.

Faraday's first law, m = Z x Q, says the mass liberated at an electrode is the product of charge Q and a constant Z that depends only on the element. The electrolysis calculator applies that equation so you can read the grams deposited without re-deriving Z.

The same equation covers water splitting, electrorefining, anodizing, and electroforming. Anywhere a DC supply feeds current into a liquid electrolyte, Faraday's first law sets the maximum mass a cell can transfer.

When the electrolysis reaction has a known activation energy barrier in addition to its mass balance, activation energy calculator lines up the rate constant at the operating temperature against the charge passed.

The electrolysis calculator applies Faraday's first law m = Z x Q with Z = M / (v x F). It computes Q from the current and time, picks Z for the chosen element from its molar mass M and valence v, and returns the deposited mass in grams.

• M: Molar mass of the element in grams per mole, pulled from the tabulated atomic weight.
• v: Valence, the electrons transferred per atom or ion in the half-reaction.
• F: Faraday constant, 96485 coulombs per mole (NIST CODATA rounded value).
• I: Direct current through the cell in amperes.
• t: Run time the constant current is applied, in seconds.
• Z: Electrochemical equivalent in kilograms per coulomb, equal to M / (v x F).

The table stores M and v for silver, copper, nickel, gold, iron, zinc, hydrogen, sodium, potassium, oxygen, and aluminum, so the calculator derives Z for the most common electroplating and water-splitting reactions without external lookup.

If the element you need is missing, choose Custom and type Z directly in kilograms per coulomb. The override supports tin-lead solder plating, chromate conversion coatings, and other reactions the table does not cover.

According to Wikipedia, the first law states the mass deposited at an electrode is m = Z x Q, where Z equals the molar mass divided by the product of valence and the Faraday constant, giving Z = M / (v x F).

According to Omni Calculator, applying 0.1 A for 60 seconds through copper electrodes deposits about 1.98 mg of copper, and the 14400 C from a 4000 mAh phone battery liberates roughly 1.2 g of O2 at the anode.

When the electrolysis calculator needs a molar mass you have not seen before, mole molar mass calculator returns the grams per mole of any element so the Z value can be checked against the table.

Four small ideas explain why the mass number comes out the way it does and how to read the answer next to a battery label.

Once you know Z, every other quantity in the calculator is arithmetic. The same Z fixes how many moles deposit per coulomb, useful for downstream grams-per-mole stoichiometry.

If the electrode is an alloy rather than a pure element, percent composition calculator gives the mass fractions so the effective Z for the mixture can be assembled from each component's M and v.

Five short steps move from a chosen element and a known DC current to the grams deposited and the charge stored in the cell.

1. 1 Pick the Element Being Deposited: Open the Element list and choose the species at the working electrode. For copper plating choose Copper; for water splitting choose Hydrogen or Oxygen.
2. 2 Enter the Cell Current: Read the current on the power supply or use the nameplate current on the rectifier, then type it in amperes into the Current field.
3. 3 Enter the Run Time: Type the time the constant current runs into the Time field. Convert minutes and hours to seconds first: 1 minute is 60 s, 1 hour is 3600 s.
4. 4 Override Z if You Need a Custom Reaction: Choose Custom from the element list and type your own Z in kilograms per coulomb for tin, lead, chromium, or alloy reactions.
5. 5 Read the Mass and the Charge: The results panel shows mass in grams and milligrams, charge in coulombs and ampere-hours, with the Z value used at the bottom.

Picture a copper plating tank fed by a 2 A rectifier with parts in the bath for 45 minutes. Element = Copper, Current = 2, Time = 2700. The calculator returns 1.78 g of copper and 5400 C (1.5 Ah) of charge, ready to compare against the bath's current efficiency.

When the electrolysis result feeds into a downstream reaction, stoichiometry reaction calculator balances the half-reaction at the electrode so the mass of copper deposited matches the moles of reagent consumed in the electrolyte.

A focused electrolysis calculator saves time on the Faraday arithmetic and produces a result that lines up with benchtop data and battery labels.

• • Removes Hand Math on Faraday's First Law: Replaces the manual m = I x t x M / (v x F) calculation with a typed entry, so the result is consistent across operators.
• • Speaks Grams and Ampere-Hours at Once: Reports mass in grams and milligrams and charge in coulombs and ampere-hours, tying electroplating bench data to battery labels.
• • Covers Eleven Common Elements: Includes silver, copper, nickel, gold, iron, zinc, hydrogen, sodium, potassium, oxygen, and aluminum with molar masses and valences.
• • Custom Z Override for Less Common Reactions: Lets you type your own Z for tin, lead, chromium, or any alloy where the tabulated values do not match the half-reaction.
• • Shows the Z Used in the Calculation: Returns the Z value at the bottom of the results panel so the calculation can be checked against a chemistry handbook.

The biggest practical benefit is the time saved on plating-shop estimates. A 2 A run for 45 minutes reads in seconds instead of dividing by 192970 and multiplying by 63.546 manually.

When the electrolysis cell also drives a pH shift in the bath because water splits at the electrodes, pH pOH calculator shows how the H+ and OH- produced change the electrolyte's pH alongside the mass deposited.

Five physical and cell-design factors shift the calculated mass up or down from the theoretical Faraday number the calculator returns.

• • The calculator assumes a single, constant current. A pulsed or ramped current profile requires integrating I(t) over time, which is what Faraday's mathematical form covers in the Wikipedia derivation.
• • The Z table covers eleven elements; less common plating metals such as tin, lead, or chromium need the Custom Z override.
• • The Faraday mass is the theoretical maximum at 100 percent current efficiency. Real cells lose some charge to side reactions, so the actual mass is the theoretical value times the measured efficiency.

Practical installations also depend on cell voltage and electrode geometry. A higher cell voltage does not change mass, but a poorly designed anode can polarize and lower current efficiency, so less mass deposits per coulomb than predicted.

According to Encyclopedia Britannica, the mass of a substance liberated at an electrode is proportional to the quantity of electric charge passed through the electrolyte, and the constant of proportionality is the electrochemical equivalent Z defined as M / (v x F).

When the cell voltage drives the operating cost of the electrolysis run, electrical power calculator turns the same current and a measured voltage into watts and kilowatt-hours so the mass deposited can be paired with the energy used.