Density Calculator
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By Abdul HadiReviewed by Dr. Peter Andersen, PhD (Physical Chemistry)Published: Updated:
References
- [1]CRC Press, CRC Handbook of Chemistry and Physics, 105th Edition, 2024. https://www.routledge.com/CRC-Handbook-of-Chemistry-and-Physics/Rumble/p/book/9781032751977
- [2]IUPAC, IUPAC Quantities, Units and Symbols in Physical Chemistry (Green Book), 2023. https://iupac.org/what-we-do/books/greenbook
- [3]Pearson, Vogel's Textbook of Quantitative Chemical Analysis, 6th Edition, 2000.
How to Use?
- 1
Select what to calculate
Choose Density (ρ), Mass (m), or Volume (V) from the dropdown. The two input fields for the values you need to provide remain visible, while the field for the value you are solving for is hidden automatically.
- 2
Enter the known values
Type in the two known values. Use the unit dropdowns next to each field to switch between grams and kilograms, milliliters and liters, or kg/m³ and g/cm³.
- 3
Enable Advanced Mode for temperature (optional)
Toggle the Advanced Mode switch if your measurement was taken at a non-standard temperature. Enter the measurement temperature in degrees Celsius. The calculator corrects for thermal expansion using a coefficient of 0.00021/°C, which is appropriate for dilute aqueous solutions.
- 4
Review the result and alternative units
The results panel displays the primary answer in your chosen unit. Below it, a list of alternative unit values provides the same result in other common units, such as g/cm³, kg/m³, and lb/ft³ for density.
- 5
Use the result in your work
Copy the result or note the value for your report, material specification, or quality control documentation. The reference tables on this page provide density values for common materials and the temperature dependence of water density to help you verify your inputs.
Worked Examples
1Find density of a 250 g brass object with volume 30 cm³
Given Values
Calculate:density
Mass (m):250
Volume (V):30
Results
Density (ρ):8.333
2Find mass of 2 L of ethanol (density 789 kg/m³)
Given Values
Calculate:mass
Density (ρ):789
Volume (V):2000
Results
Mass (m):1578
3Find volume of 500 g aluminum block (density 2700 kg/m³)
Given Values
Calculate:volume
Mass (m):500
Density (ρ):2700
Results
Volume (V):185.185
4Density of irregular flint pebble by water displacement
Given Values
Calculate:density
Mass (m):150
Volume (V):55
Results
Density (ρ):2.727
5Mass of lead cube 10 cm × 10 cm × 10 cm (density 11340 kg/m³)
Given Values
Calculate:mass
Density (ρ):11340
Volume (V):1000
Results
Mass (m):11340
6Volume of 50 g cooking oil (density 0.92 g/cm³)
Given Values
Calculate:volume
Mass (m):50
Density (ρ):0.92
Results
Volume (V):54.348
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Frequently Asked Questions
Density helps identify unknown materials, verify purity, predict whether an object will float or sink, and calculate mass when volume is known or vice versa. It is one of the most commonly measured physical properties across chemistry, materials science, geology, medicine, and engineering. A single density measurement can confirm the composition of an alloy, detect adulteration in food products, or diagnose bone health in medical patients.
Most substances expand when heated, which increases their volume while mass stays constant. This means density decreases as temperature rises. Water is an exception near its freezing point: it reaches maximum density at 4 °C, not 0 °C. For liquids, density changes by about 0.02–0.05% per °C near room temperature. For gases, the effect is much larger – about 0.3% per °C – because gases follow the ideal gas law where density is inversely proportional to absolute temperature.
Density has units (g/cm³, kg/m³) and expresses mass per unit volume. Specific gravity is dimensionless: it is the ratio of a substance’s density to the density of water at 4 °C. Numerically, specific gravity equals density in g/cm³ because water at 4 °C has a density of 1.000 g/cm³. Specific gravity is widely used in battery testing, brewing, and mineral processing because it is a simple number without unit conversion concerns.
Yes, but you must account for the strong effects of temperature and pressure on gas density. The calculator does not apply pressure corrections, so you should enter the mass and volume of the gas at the actual measurement conditions. For most accurate results, measure the gas volume at the known temperature and pressure, or use the ideal gas law (PV = nRT) to determine the mass from known conditions. The Advanced Mode temperature correction is calibrated for liquids and may not be accurate for gases.
Use the water displacement method. Weigh the object on a balance. Fill a graduated cylinder with a known volume of water and record the level. Carefully submerge the object, tilting it to release any trapped air bubbles. Record the new water level. The displaced volume (final minus initial) equals the object’s volume. Divide the mass by the displaced volume to get the density. For water-soluble objects, use a non-reactive liquid such as ethanol or mineral oil instead of water.
Multiply density by volume: m = ρ × V. Make sure the units are consistent. If density is in g/cm³ and volume in cm³, mass will be in grams. If density is in kg/m³ and volume in m³, mass will be in kilograms. The calculator handles unit conversion automatically, so you can mix different unit systems without error. For a practical example using solution concentration, the Molarity Calculator also uses mass and volume to find molar concentration.
Water density varies with temperature. At 4 °C it is at its maximum: 1.000 g/cm³ (1000 kg/m³). At 20 °C it is 0.998 g/cm³, and at 100 °C it is 0.958 g/cm³. Above 4 °C, water expands and its density decreases with increasing temperature. Below 4 °C, water also expands slightly, making it less dense than at 4 °C – which is why ice floats. The table in this page’s content section lists water density at 10-degree intervals from 0 °C to 100 °C.
Bulk density includes the volume of pore spaces within the material, while true density (also called skeletal density) considers only the solid volume. For example, a brick has bulk density around 1.8 g/cm³ but its true density is about 2.5 g/cm³ because it contains tiny air pockets. Bulk density is relevant for construction materials, soils, and powders. True density is relevant for identifying pure substances. When using this calculator, specify which density you mean before selecting your volume measurement method.
Ice floats because it is less dense than liquid water. When water freezes, the hydrogen bonds form an open hexagonal crystal structure that takes up more space than the liquid form. Ice has a density of 0.917 g/cm³, about 8% lower than water at 4 °C (1.000 g/cm³). This is why icebergs float with roughly 10% of their volume above the surface. Most other substances are denser as solids than as liquids, making water’s behavior unusual and crucial for aquatic life in freezing climates.
Dissolved salts increase seawater density. Pure water at 20 °C has a density of 0.998 g/cm³, while typical seawater (salinity 35 g/kg) at the same temperature has a density of 1.025 g/cm³. The increase comes from dissolved ions (Na⁺, Cl⁻, Mg²⁺, SO₄²⁻) that add mass without proportionally increasing volume. Regions with high evaporation (like the Red Sea) have higher salinity and density. Regions with freshwater input (estuaries, Arctic meltwater) have lower salinity and density, creating stratification layers in the ocean.
To convert from g/cm³ to kg/m³, multiply by 1000. This is because 1 g/cm³ equals 1000 kg/m³. For example: density of water = 1.00 g/cm³ = 1000 kg/m³, density of aluminum = 2.70 g/cm³ = 2700 kg/m³, density of air = 0.0012 g/cm³ = 1.2 kg/m³. The factor 1000 comes from 1000 g per kg and one million cm³ per m³ (1000 × 1000 / 1,000,000 = 1). This calculator converts between all common density units automatically.
Density is a rapid, non-destructive quality check. Manufacturers measure the density of incoming raw materials to verify they match specifications. For example, aluminum alloy 6061 should have density 2.70 g/cm³; a measurement of 2.85 g/cm³ indicates the wrong alloy or excessive impurities. Density checks also detect voids in castings, incorrect polymer density in plastic injection molding, and dilution of liquid products. For chemical solutions, density correlates with concentration, making it a quick substitute for full chemical analysis. The Stock Solution Calculator uses density as a key input for converting purity to molarity.
For liquids, the effect of pressure on density is small – typically less than 0.5% per 100 atm. For most practical purposes at or near atmospheric pressure, liquids are considered incompressible. For gases, the effect is large because gases are highly compressible. The density of air at sea level (1 atm) is about 1.225 kg/m³, but at 10 atm it is about 12.25 kg/m³ (following the ideal gas law). This calculator does not apply pressure corrections. Your inputs should reflect the actual pressure conditions of your measurement.
Common metal densities in g/cm³: magnesium 1.74, aluminum 2.70, titanium 4.51, iron 7.87, steel (mild) 7.85, copper 8.96, silver 10.49, lead 11.34, uranium 19.05, gold 19.32, platinum 21.45, osmium 22.59. These values are at room temperature. The wide range – from 1.74 (magnesium, lighter than water) to 22.59 (osmium, the densest natural element) – makes density a powerful distinguishing property for metals and alloys.
Density connects weight percent purity to molarity. The standard formula M = (wt% × density × 1000) / molar mass uses density to convert between mass-based concentration (wt%) and volume-based concentration (molarity). For a concentrated hydrochloric acid solution labeled 37% with density 1.18 g/mL, the molarity is (37 × 1.18 × 1000) / 36.46 = 12.08 M. This calculation is handled by the Stock Solution Calculator, which also provides temperature correction for density.
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