Solution Density Calculator

At a glance:Density (symbol ρ, 'rho') is a basic physical quantity describing how 'tightly packed' a substance is: mass per unit volume, ρ = mass m / volume V. The most common units are g/mL (grams per millilitre); since 1 mL = 1 cm³, g/mL equals g/cm³; solids and liquids also use kg/m³ (1 g/mL = 1000 kg/m³). Density reflects how densely the particles are arranged and their own mass; it is a 'characteristic property' of a substance — under fixed temperature and pressure a pure substance has a definite density, so density is used to identify substances and test purity. Using this tool's default: a solution with mass 200 g, volume 250 mL, density ρ = 200/250 = 0.8 g/mL. For reference, pure water is densest at 4 °C (≈ 1.000 g/mL, often taken as 1 g/mL), so 1 L water weighs about 1 kg — which is why dilute aqueous molarity and molality are numerically close. Density is widely used in chemistry and daily life: first, mass–volume conversion — given density, derive volume from mass (V = m/ρ) or mass from volume (m = ρV), e.g. converting a liquid reagent's mass to a measurable volume. Second, concentration conversion — solution density links mass fraction (w/w%) and molarity (mol/L); e.g. concentrated sulphuric acid's molarity follows from its density and mass percent. Third, specific gravity and floating — a substance denser than water sinks, less dense floats (ice floats, oil floats); specific gravity is density divided by water's density (dimensionless). Fourth, identification and purity — comparing measured density to a standard judges identity or adulteration. Notes: first, density changes with temperature (heat expands, density falls slightly; state temperature for precision, e.g. 20 °C; gases are more sensitive). Second, keep units consistent (g/mL if mass in g and volume in mL; 1 kg/L = 1 g/mL numerically). Third, density is an intensive property — independent of sample size. Fourth, this calculator requires positive volume (≤0 undefined).