Trying to process such large pins isn’t economical when the total quantity is so small. It’s fundamentally a scale problem: they have a very small surface area compared to their weight. Smaller, thinner pins can be about 100 times more productive per kilogram!
Furthermore, using Aqua Regia (AR) in this situation is not recommended because of cementation issues and the unfavorable copper-to-gold ratio. An electrolytic gold-stripping process with concentrated sulfuric acid would have been far more efficient.
Below is an example calculation to illustrate the difference between thick (5 mm) pins and thin (0.25 mm) pins, assuming a 0.05 µm gold plating. All numbers are approximate and assume ideal cylindrical geometry and perfect coverage:
ASSUMPTIONS:
- Copper density: 8.96 g/cm³
- Gold density: 19.3 g/cm³
- Gold plating thickness: 0.05 µm = 0.000005 cm
VARIANT A: THICK PIN (5 mm diameter, 10 mm length)
- MASS OF ONE PINRadius = 2.5 mm = 0.25 cmHeight = 1.0 cmVolume = π × (0.25 cm)² × 1.0 cm ≈ 0.196 cm³Mass = 0.196 cm³ × 8.96 g/cm³ ≈ 1.76 g
- PINS PER KILOGRAM1000 g / 1.76 g ≈ 568 pins/kg
- SURFACE AREA OF ONE PINMantle area ≈ 1.57 cm²End faces combined ≈ 0.39 cm²Total ≈ 1.96 cm² per pin
- SURFACE AREA PER KG568 pins × 1.96 cm² ≈ 1116 cm²/kg
- GOLD MASS PER cm² (at 0.05 µm)19.3 g/cm³ × 0.000005 cm = 0.0000965 g/cm²
- TOTAL GOLD IN 1 KG OF THICK PINS1116 cm² × 0.0000965 g/cm² ≈ 0.108 g of gold
- GOLD IN 400 g OF THICK PINS0.4 × 0.108 g ≈ 0.043 g of gold
VARIANT B: THIN PIN (0.25 mm diameter, 10 mm length)
- MASS OF ONE PINRadius = 0.125 mm = 0.0125 cmHeight = 1.0 cmVolume = π × (0.0125 cm)² × 1.0 cm ≈ 0.00049 cm³Mass = 0.00049 cm³ × 8.96 g/cm³ ≈ 0.0044 g
- PINS PER KILOGRAM1000 g / 0.0044 g ≈ 227,000 pins/kg
- SURFACE AREA OF ONE PINMantle area ≈ 0.0785 cm²End faces ≈ 0.00098 cm² (very small)Total ≈ 0.0795 cm² per pin
- SURFACE AREA PER KG227,000 pins × 0.0795 cm² ≈ 18,080 cm²/kg
- TOTAL GOLD IN 1 KG OF THIN PINS18,080 cm² × 0.0000965 g/cm² ≈ 1.74 g of gold
- GOLD IN 400 g OF THIN PINS0.4 × 1.74 g ≈ 0.70 g of gold
COMPARISON (GOLD YIELD)
Side-by-Side Comparison
Variant | Gold in 1 kg | Gold in 400 g |
---|
Thick Pin (5 mm) | ~0.108 g of Au | ~0.043 g of Au |
Thin Pin (0.25 mm) | ~1.74 g of Au | ~0.70 g of Au |
- At only 0.05 µm plating, 400 g of thick pins yields under 0.05 g of gold.
- The same mass of thin pins could yield almost 0.70 g of gold.
In real scenarios, other factors can lower the actual recovery (e.g., incomplete plating coverage, impurities, mechanical design, etc.). But this idealized comparison highlights just how important surface-to-mass ratio is – and underscores why it’s generally
not economical to process large, heavy pins (with relatively tiny plating) using something like Aqua Regia. An electrolytic stripping process in concentrated sulfuric acid would typically be more suitable.
(Calculations done with a little help of my friend GPT)