Slurry Mass Concentration
Calculate the solids mass (weight) concentration in a slurry, C_w = C_v·(ρ_s ÷ ρ_m)·100, from the volumetric concentration C_v (fraction), the solids density ρ_s and the mixture density ρ_m (kg/m³); the result is a percentage. Mass concentration is the fraction of the total slurry MASS that is solid (kg of solid per kg of slurry), different from volumetric concentration (volume fraction). Both measure the same thing differently, and their relation depends on the solids density: since solids are DENSER than water (sand ~2.65×), mass concentration is always GREATER than volumetric (a slurry with 20% solids by volume has about 40% by mass). Mass concentration (% solids by weight) is the form most used in the mineral industry and ore processing, since it relates directly to the tonnage of solids processed and is what is controlled in thickeners, mills and flotation. Converting between mass and volumetric concentration is a daily operation in processing-plant mass balance and pipeline and dredging control. Enter the volumetric concentration, the solids density and the mixture density.
Result
—
Concentração mássica da polpa
A concentração mássica (em peso) de sólidos em uma polpa é C_w = C_v·(ρ_s ÷ ρ_m)·100, a partir da concentração volumétrica C_v, da densidade dos sólidos ρ_s e da densidade da mistura ρ_m; o resultado é em porcentagem. É a fração da massa total da polpa que é sólido (kg de sólido por kg de polpa), diferente da concentração volumétrica (fração de volume). As duas medem a mesma coisa de formas diferentes, e a relação entre elas depende da densidade dos sólidos: como os sólidos são mais densos que a água (areia ~2,65×), a concentração mássica é sempre maior que a volumétrica (uma polpa com 20% de sólidos em volume tem cerca de 40% em massa). A concentração mássica (% de sólidos em peso) é a forma mais usada na indústria mineral e no processamento de minérios, pois se relaciona diretamente com a tonelagem de sólidos processada e é o que se controla em espessadores, moinhos e flotação. A conversão entre concentração mássica e volumétrica é uma operação cotidiana no balanço de massa de plantas de beneficiamento e no controle de minerodutos e dragagem. Informe a concentração volumétrica, a densidade dos sólidos e a densidade da mistura.
Related Tools
Slurry Volumetric Concentration
Calculate the solids volumetric concentration in a slurry, C_v = (ρ_m − ρ_w) ÷ (ρ_s − ρ_w), from the mixture density ρ_m, the solids density ρ_s and the water density ρ_w (kg/m³). Volumetric concentration is the fraction of total slurry volume occupied by solids — the fundamental hydraulic-transport parameter. It is the inverse of the mixture-density calculation: in practice the slurry density in the pipe is measured (with a nuclear gauge, measuring gamma-ray attenuation through the pipe) and, knowing the water and solid densities, the solids concentration being transported is computed in real time. Volumetric concentration defines a dredge's or pipeline's PRODUCTION (solids volume transported = flow × C_v), and it is the parameter the operator seeks to MAXIMIZE (more solids per pumped water = more production and less energy per tonne) without exceeding the limits that cause clogging or excessive wear. Typical dredging volumetric concentrations are 10-30%; in optimized pipelines, up to 40-50%. Concentration control is the heart of hydraulic-transport operation. Enter the mixture density, the solids density and the water density.
Slurry Mixture Density
Calculate the slurry (water-solids mixture) density in hydraulic transport, ρ_m = ρ_w + C_v·(ρ_s − ρ_w), from the solids volumetric concentration C_v (fraction), the solids density ρ_s (kg/m³) and the water density ρ_w (kg/m³). In hydraulic transport of solids — used in dredging (pumping sand, mud and gravel from river, port and sea beds), mining (ore slurries in pipelines) and waste handling — solids are mixed with water and pumped as a SLURRY. The mixture density is the volume-fraction-weighted average of the water and solids densities, and it is the most basic and important hydraulic-transport parameter: it governs pumping power (dense slurries need more energy), head losses, and it is what is MEASURED in the field (by nuclear density gauges on the pipe) to control the solids concentration being transported. The mixture density links the dredge or pipeline operation to production: the denser the slurry (more solids per volume), the higher the production, but the higher the clogging risk and required power. Finding the optimal density balance is central to efficient hydraulic transport. Enter the volumetric concentration, the solids density and the water density.
Mass Recovery
Calculate the mass recovery (mass yield) of a mineral processing operation, R = (concentrate mass ÷ feed mass) × 100%, dividing the concentrate mass produced by the ore feed mass. The result, in %, is the fraction of mass reporting to the concentrate — different from metallurgical recovery (which measures the fraction of metal recovered). Low mass recovery is typical of lean ores (little concentrate from much feed); high indicates rich ore or poorly selective concentration. Combined with the grades, it closes the plant's mass balance. Enter the concentrate and feed masses.
The results provided by this tool are for general informational and educational purposes only and do not constitute professional, financial, medical, legal, tax or accounting advice. Always confirm important decisions with a qualified professional and official sources.