The units of the trade
wt%, g/L, kg/t and % solids — the four units a hydromet circuit lives in, where each is used, and the conversions (and classic slips) between them.
The idea
A hydromet circuit speaks four dialects of "how much", and a great deal of avoidable error comes from quoting a number in one when the listener assumes another. The four are weight percent (wt%), grams per litre (g/L), kilograms per tonne (kg/t), and percent solids. They measure different things, and the conversions between them are not optional bookkeeping — they are where order-of-magnitude mistakes hide.
The four units, one at a time
Weight percent is a mass fraction: the mass of a component divided by the mass of the whole, times a hundred. It is how reagents are sold and stored — concentrated sulfuric acid is quoted as a wt%, caustic comes as a wt% solution — because it is a property of the material that does not depend on temperature or how much you have. It is the natural unit for strength.
Grams per litre is a mass concentration: the mass of a component per litre of solution. It is how a process circuit actually meters its solutions, because plants flow volumes — a pregnant liquor is "so many grams per litre of metal", a tankhouse electrolyte is g/L of acid and metal.
The catch is the one slip that matters most: g/L and wt% are not interchangeable without the solution density. To go from wt% to g/L you multiply by the density: g/L = wt% × density(in kg/m³) ÷ 100. A solution that is 20% by mass is not 200 g/L unless it happens to weigh 1000 kg/m³, which strong solutions never do. Carry the density or carry the error.
Kilograms per tonne is a dosing and consumption unit: kilograms of reagent per tonne of dry solids treated. It is how the circuit’s reagent economics are expressed, because consumption scales with ore, not with solution volume. A lime addition of 2 kg/t on a thousand-tonne-a-day plant is a different conversation from 20 kg/t, and the line item is the difference. It is the natural unit for opex.
Percent solids is the slurry unit: the mass of dry solids as a fraction of the total slurry mass (by mass — the usual) or as a fraction of slurry volume (by volume — sometimes). The by-mass and by-volume figures are very different numbers for the same slurry, because the solids are denser than the water, so a given mass of solid takes up little volume. Quoting "30% solids" without saying which basis is a classic ambiguity, and Module 2 is built around resolving it.
Crossing between them
The conversions are simple arithmetic once you respect what each unit divides by. wt% divides by total mass; g/L divides by solution volume and so needs a density to cross to wt%; kg/t divides by solids mass; percent solids divides by slurry mass or volume. The mistakes are almost never the algebra — they are forgetting the density bridge between mass-basis and volume-basis units, assuming a litre of solution weighs a kilogram, or mixing a by-mass and a by-volume figure in the same balance. This page lands you on the two calculators that keep that arithmetic honest, and the rest of Module 1 builds each unit out in turn.
Diagram
Now run it
- Concentration calculator →Calculator
Convert a solute mass and solution volume into a mass concentration, and cross-check a wt%-to-g/L step against it.
- Dilution calculator →Calculator
Solve C₁V₁ = C₂V₂ for the make-up volume when you take a stored strength down to a working strength.
Worked thread
Take a caustic solution quoted at 30 wt% — a storage strength. Read its density from the committed sodium-hydroxide grid, then convert to the g/L the circuit meters in.
- 01Density node: NaOH 30 wt% at 20 °C = 1325.7 kg/m³ (sodium-hydroxide.json grid).
- 02g/L = wt% × density ÷ 100 = 30 × 1325.7 ÷ 100
- 03g/L = 397.71 g/L NaOH
- 04Sanity check the density bridge: assuming 1000 kg/m³ would give 300 g/L — low by ~33%, the size of the slip the bridge prevents.
30 wt% caustic at 20 °C is 397.7 g/L NaOH, not 300 g/L — the density node is the whole difference.
sodium-hydroxide.json committed density grid (30 wt%, 20 °C node).
Sources
- •Perry, R.H. & Green, D.W. (eds.), Perry’s Chemical Engineers’ Handbook, 8th ed., 2008.
- •Wills, B.A. & Finch, J.A., Wills’ Mineral Processing Technology, 8th ed., 2016.
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