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Galvanising: layer thickness and time (Faraday's law)

How thick will the layer be, how long should the item hang, and how many amps should the rectifier give?

Answer: In a galvanic bath, the metal is deposited on the item by the current. How thick the layer becomes depends on the current density in A/dm², the time, the metal and the bath's current efficiency, i.e. what fraction of the current actually deposits metal. The rest becomes hydrogen. The calculator uses Faraday's law to work out the layer thickness from the time you enter and how long it takes to reach the thickness you need. It also shows what the rectifier should be set to for the entire suspension.

Formula

Faradays lov: masse m = I × t × M ÷ (n × F), F = 96.485 C/mol

Lagtykkelse (µm) = strømtæthed (A/dm²) × tid (s) × strømudbytte × M ÷ (n × ρ) × 100 ÷ 96.485

M ÷ (n × ρ): zink 65,38 ÷ (2 × 7,14) = 4,578 · nikkel 58,69 ÷ (2 × 8,91) = 3,293 · kobber 63,55 ÷ (2 × 8,96) = 3,546 · krom 52,00 ÷ (6 × 7,19) = 1,205

Control: nickel at 1 A/dm² and 100% efficiency gives approx. 12.3 µm per hour

Strøm på ensretteren (A) = strømtæthed × samlet areal (dm²)

Symbols and units in the formula
SymbolMeaningUnit
metalMetal—
stroemtaethedCurrent densityA/dm²
tidTime in bathmin
udbytteBath's current yield (from bath's datasheet)%
arealTotal area in suspensiondm²
oensketRequired layer thicknessµm
=Layer thickness after timeµm
=Deposition rateµm/min
=Time to reach required layer thicknessmin
=Current on rectifierA

Validity and source

Source
Faraday's law · metals' molar mass, valence and density

Does not apply when

  • Current yield varies from bath to bath: acid zinc and nickel baths typically exceed 90%, alkaline zinc baths lower and hard chromium only around 10–25%. Use the bath supplier's figures. Layer thickness is an average. Edges and corners get more and holes and internal corners less. Always measure with layer thickness gauge.

Worked example

The calculator's own default values inserted. The figures are calculated with exactly the formula the tool uses.

Substituted

  • Metal1
  • Current density2 A/dm²
  • Time in bath30 min
  • Bath's current yield (from bath's datasheet)90 %
  • Total area in suspension50 dm²
  • Required layer thickness12 µm

Giver

  • Layer thickness after time15.4 µm
  • Deposition rate0.51 µm/min
  • Time to reach required layer thickness23 min
  • Current on rectifier100 A

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Sådan bruger du den

Når en ordre skal galvaniseres til en bestemt lagtykkelse, skal du vide, hvor længe emnerne skal hænge, og hvad ensretteren skal stilles til. Beregneren bruger Faradays lov med badets strømudbytte.

Step by step

  1. Vælg metal og find badets strømudbytte på databladet.
  2. Tast strømtætheden, du vil køre med, og tiden.
  3. Tast ophængets samlede areal og den krævede lagtykkelse.
  4. Læs lagtykkelsen, tiden til krævet tykkelse og strømmen på ensretteren.

Typical errors

  • At regne med 100 % udbytte. Især alkalisk zink og krom ligger langt lavere.
  • At glemme stativ og kontakter i arealet. De tager også strøm.
  • At tro at laget er lige tykt overalt. Kanter får mere, huller mindre.

Examples from everyday life

Sur forzinkning af beslag

Et ophæng med beslag har 50 dm². De skal have 12 µm zink i et surt bad med 90 % udbytte ved 2 A/dm².

Metal
Zinc (Zn²⁺)
Current density
2 A/dm²
Time in bath
30 min
Bath's current yield (from bath's datasheet)
90 %
Total area in suspension
50 dm²
Required layer thickness
12 µm

It means: Efter 30 minutter er laget 15.4 µm. Hastigheden er 0.51 µm/min, og de 12 µm nås efter 23 min. Ensretteren skal stå på 100 A.

Blank forniklingsbad

Dele på i alt 20 dm² skal have 15 µm nikkel ved 4 A/dm² og 95 % udbytte.

Metal
Nickel (Ni²⁺)
Current density
4 A/dm²
Time in bath
20 min
Bath's current yield (from bath's datasheet)
95 %
Total area in suspension
20 dm²
Required layer thickness
15 µm

It means: Efter 20 minutter er laget 15.6 µm. Den krævede tykkelse tager 19 min, og ensretteren skal give 80 A.

Hårdforkromning af en aksel

En aksel med 5 dm² skal have 25 µm hårdkrom. Badet kører 40 A/dm² og har kun 15 % udbytte.

Metal
Hard chromium (Cr⁶⁺)
Current density
40 A/dm²
Time in bath
60 min
Bath's current yield (from bath's datasheet)
15 %
Total area in suspension
5 dm²
Required layer thickness
25 µm

It means: Efter en time er laget 27 µm, og de 25 µm tager 56 min. Ensretteren skal give 200 A.

Rule of thumb

Nikkel ved 1 A/dm² og 100 % udbytte lægger ca. 12 µm i timen.

How to check the answer

Lagtykkelse ÷ tid skal give aflejringshastigheden.