To Many Calculator logoTo Many Calculator

Electrolysis Calculator

Kaushik RabadiyaCreated by Kaushik RabadiyaLast updated: September 24, 2026

Electrolysis instantly calculates results using charge, constant, current. Use the calculator above for instant answers in your browser.

Welcome to the Electrolysis Calculator, an essential tool for students, electrochemists, and industrial engineers designed to compute the mass of elements deposited or dissolved during electrolytic processes. By connecting electrical variables like current and time with chemical properties, this calculator eliminates manual mathematical errors and streamlines stoichiometry problem-solving.

The Mathematics of Electrolysis

Electrolysis calculations rely on Michael Faraday's foundational laws of electrochemistry, which connect electricity with chemical change. The core relationship states that the mass of a substance altered at an electrode is directly proportional to the total electrical charge passed through the substance. First, the total charge (Q) is determined by multiplying the electrical current (I) in amperes by the elapsed time (t) in seconds: Q = I * t. Next, the deposited or dissolved mass is calculated using the electrolysis constant, often represented by the electrochemical equivalent (Z), through the equation: mass = Z * Q. Combining these yields the comprehensive formula mass = Z * I * t.

Step-by-Step Worked Example

Imagine you pass a steady electrical current of 5 amperes through an aqueous solution of silver salt for 30 minutes (1,800 seconds). Given that the electrochemical equivalent (constant) for silver is approximately 0.001118 grams per coulomb, we can find the total mass of silver deposited at the cathode. First, calculate the total charge passed: Q = 5 A * 1,800 s = 9,000 coulombs. Second, multiply this charge by the constant: mass = 0.001118 g/C * 9,000 C = 10.062 grams. Therefore, exactly 10.06 grams of pure silver will plate out onto the electrode.

Best Practices and Practical Tips

Always ensure your time units are converted into seconds before performing calculations with amperes, as one coulomb equals one ampere-second. Pay close attention to the electrochemical equivalent value you select, as different oxidation states of the same element require distinct constants. Finally, account for current efficiency in real-world setups, because side reactions or heat losses often mean actual yields are slightly lower than theoretical maximums.

FAQs

What is Faraday's law for electrolysis?

Faraday's laws of electrolysis state that the chemical deposition resulting from an electric current is proportional to the total quantity of electricity passed through the system, and that the masses of different elements deposited by the same amount of electricity are proportional to their equivalent weights divided by their valence numbers.

How do I calculate the mass lost at one electrode?

The mass lost at an anode during electrodissolution is calculated using the exact same principles as electroplating. You multiply the total electrical charge by the electrochemical equivalent constant of the specific metal. This reveals how many grams of the electrode material ionized and entered the solution.

What is the electrolysis constant Z?

The electrolysis constant, or electrochemical equivalent (Z), represents the mass of an element deposited or dissolved by a unit charge of one coulomb. It is typically expressed in grams per coulomb and is derived by dividing the molar mass of the element by the product of its ionic valence and Faraday's constant.

How do I calculate water electrolysis?

Calculating water electrolysis involves determining the volume and mass of hydrogen and oxygen gases produced at the respective electrodes. By applying Faraday's laws based on the total charge, you determine the moles of electrons transferred, which dictate the stoichiometric production of two moles of hydrogen gas for every one mole of oxygen gas.

Formula verified against IUPAC standards — all calculations use deterministic, standards-based formulas.

Related calculators