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Electrolysis Calculator

Calculate mass deposited or dissolved at electrodes using Faraday first law with electrochemical constants for common elements.

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Electrolysis Calculator

The Electrolysis Calculator applies Faraday's first law of electrolysis to relate the mass deposited or dissolved at an electrode to the electric charge passed through the cell.

$$m = Z \times Q$$

where $m$ is mass in kilograms, $Q$ is charge in coulombs, and $Z$ is the electrochemical equivalent in kg/C. Charge is also related to current and time:

$$Q = I \times t$$

The electrochemical constant is derived from molar mass $M$, valence $n$, and Faraday's constant $F$:

$$Z = \frac{M}{n \times F}$$

For example, depositing copper from $\text{Cu}^{2+}$ requires two electrons per atom ($n = 2$). With $M = 63.546$ g/mol and $F \approx 96485$ C/mol, copper's electrochemical equivalent is about $3.29 \times 10^{-7}$ kg/C.

Related electrochemistry tools: Electrodialysis Calculator and Combustion Reaction Calculator.

Frequently Asked Questions

What is Faraday's first law of electrolysis?

Faraday's first law states that the mass of substance liberated at an electrode is directly proportional to the quantity of electricity passed. Doubling the charge doubles the mass deposited.

How do I convert mAh to coulombs?

Multiply milliampere-hours by 3.6 to get coulombs. For example, 4000 mAh equals 14400 C because $4000 \times 3.6 = 14400$.

What is the electrochemical equivalent Z?

Z is the mass deposited per unit charge. It depends on the element's molar mass and the number of electrons transferred per atom during the electrode reaction.

Can this calculator do water electrolysis?

Yes. Select hydrogen (H₂) or oxygen (O₂) from the element list. For water splitting, hydrogen production uses $n = 2$ for H₂ and oxygen uses $n = 4$ for O₂ from the balanced reaction $2\text{H}_2\text{O} \rightarrow 2\text{H}_2 + \text{O}_2$.