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Hydrometallurgy

Pulp Density and Percent Solids Explained

The terminology bridge for "pulp density" — why pulp density is slurry density, how it relates to percent solids (by mass and volume) and specific gravity, and what a Marcy density cup reads. Routes the compute intent to the existing slurry-density and percent-solids calculators; there is deliberately no separate pulp-density calculator.

TypeEngineering guide — concept explainer

Definition

Pulp density is the mineral-processing operator's name for slurry density — the mass of a slurry (pulp) per unit volume, typically in kg/m³ or as a specific gravity. It is one of three interchangeable ways of describing the same two-phase solids-in-water stream: pulp (slurry) density, percent solids (by mass or by volume), and specific gravity. Given the solids SG and the liquid density, any one of the three fixes the other two through a single relationship, ρ_slurry = 1 / (Xs/ρ_s + (1−Xs)/ρ_L). This guide is a terminology bridge: it owns the exact phrase 'pulp density', distinguishes it from percent solids and specific gravity, explains the Marcy density-cup reading operators use to measure it, and routes the actual computation to ProcessConvert's existing slurry-density and percent-solids calculators rather than duplicating them. There is deliberately no separate 'pulp density calculator' — pulp density is slurry density, and the slurry-density calculator already computes it.

Why it matters

'Pulp density' and 'slurry density' are the same property under two vocabularies — minerals operators say pulp, the broader process world says slurry — and confusing the related terms is a common source of error. Pulp density (a mass per volume, or an SG) is not the same number as percent solids (a mass or volume fraction), and percent solids by mass is not the same as percent solids by volume. They are all linked, but only through the solids SG and the liquid density: at 40% solids by mass with SG 2.70 in water the pulp density is about 1337 kg/m³, but change the SG or the basis and the number moves. Operators read pulp density quickly in the field with a Marcy density cup (a fixed-volume cup calibrated to read density or percent solids directly for a known solids SG), but that reading still rests on the same two-phase relationship. Because the compute intent is already fully served — the slurry-density calculator returns density, percent solids by mass, volume and g/L, and the solids SG together — the right move is to capture the 'pulp density' vocabulary here and send the click there, not to build a near-duplicate calculator that would split the same intent across two pages.

Formula

Pulp (slurry) density from mass fraction
ρ_slurry = 1 / (Xs/ρ_s + (1−Xs)/ρ_L)
Pulp density from volume fraction
ρ_slurry = Cv·ρ_s + (1−Cv)·ρ_L
Percent solids by mass
Xs = mass solids / mass slurry
Specific gravity
SG = ρ / ρ_water

Units involved

  • pulp (slurry) density ρ_slurry — kg/m³ (or g/L numerically; or as a dimensionless SG)
  • percent solids — by mass or by volume, a fraction or %
  • solids density ρ_s — kg/m³ (= 1000 × solids SG)
  • liquid density ρ_L — kg/m³ (default 1000 for water)
  • specific gravity — dimensionless (density relative to water)

Concept diagram

Pulp density, percent solids, and specific gravity — one slurry, three relationshipsone slurry (pulp)pulp density% solidsspecific gravityρ_slurry = 1 / (Xs/ρ_s + (1−Xs)/ρ_L)same two-phase relationship, three namesterminology bridge — compute with the slurry-density calculator

Worked example

A flotation pulp runs at 40% solids by mass with a solids SG of 2.70 in water. Find the pulp density, and confirm it matches the slurry-density relationship.

  1. 01Mass fraction solids Xs = 0.40; solids density ρ_s = 1000 × 2.70 = 2700 kg/m³; liquid ρ_L = 1000 kg/m³
  2. 02Pulp density: ρ_slurry = 1 / (0.40/2700 + 0.60/1000) = 1 / 0.0007481 = 1336.6 kg/m³
  3. 03As a specific gravity: 1336.6 / 1000 ≈ 1.34
  4. 04This is identical to the slurry-density calculator output — pulp density is slurry density
Result

Pulp density ≈ 1337 kg/m³ (SG ≈ 1.34) at 40% solids by mass, SG 2.70 — computed with the existing slurry-density calculator, not a separate pulp-density tool.

Common mistakes

  • Treating 'pulp density' and 'slurry density' as different properties — they are the same thing.
  • Confusing pulp density (mass per volume / SG) with percent solids (a fraction) — they are linked but not equal.
  • Mixing percent solids by mass with percent solids by volume without converting through the densities.
  • Forgetting that pulp density depends on the solids SG — the same percent solids gives a different density for a different SG.
  • Reading a Marcy-cup value calibrated for one solids SG as if it applied to a different ore.
  • Looking for a standalone pulp-density calculator — the slurry-density calculator already computes it.

When to use the calculator

To compute pulp (slurry) density, percent solids, and specific gravity, use the slurry-density calculator — it returns density, percent solids by mass, by volume and g/L, and the solids SG together, and includes a target-density lab-prep mode. To convert between percent solids by mass and by volume, use the percent solids mass ↔ volume calculator. To turn a dry tonnage and percent solids into a slurry volumetric flow (m³/h), use the pulp / slurry volumetric flow calculator. For the field measurement method, see the Marcy density cup guide. This page is the terminology bridge; the calculators above do the computing.

FAQ

Is pulp density the same as slurry density?
Yes. 'Pulp density' is the mineral-processing operator term for what the wider process world calls slurry density — the mass of the slurry (pulp) per unit volume. They are the same property, so the slurry-density calculator is also your pulp-density calculator; there is no separate tool.
Why is there no standalone pulp density calculator?
Because it would duplicate the existing slurry-density calculator, which already computes pulp/slurry density together with percent solids by mass, by volume, and g/L, plus the solids SG. Building a second page would split the same intent and weaken both. This guide captures the "pulp density" vocabulary and routes the computation there.
How is pulp density different from percent solids?
Pulp density is a mass per unit volume (or an SG); percent solids is a fraction of the mass (or volume) that is solid. They are linked only through the solids SG and the liquid density — the same percent solids gives a different pulp density for a different solids SG, so you cannot equate the two numbers directly.
What is a Marcy density cup?
A Marcy density cup is a fixed-volume cup with a calibrated scale that lets an operator read pulp density (or percent solids) directly in the field by weighing a known volume of slurry, given the solids SG. It is the everyday measurement behind a quoted pulp density. See the Marcy density cup guide for how the scale works.
Does percent solids by mass equal percent solids by volume?
No. Because solids are denser than water, a given mass fraction corresponds to a smaller volume fraction. Converting between them needs the solids and liquid densities — use the percent solids mass ↔ volume calculator. Always state which basis a percent-solids figure is on.

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