Density (chemistry)

Density (symbol: ρ - Greek: rho) is a measure of mass per unit of volume. The higher an object's density, the higher its mass per volume. The density of an object equals its total mass divided by its total volume. An object made of a denser material (such as iron) will have less volume than an equal mass of some less dense substance (such as water). The SI unit of density is the kilogram per cubic metre (kg/cubic m³)

$\rho ={\frac {m}{V}}$

where:

ρ is the object's density (measured in kilograms per cubic metre)

m is the object's total mass (measured in kilograms)

V is the object's total volume (measured in cubic metres)

Under specified conditions of temperature and pressure, the density of a fluid is defined as described above. However, the density of a solid material can be defined in several ways. Porous or granular materials have a density of the solid material, as well as a bulk density, which can be variable. For example, if you gently fill a container with sand, and divide the mass of sand by the container volume you get a value termed loose bulk density. If you took this same container and tapped on it repeatedly, allowing the sand to settle and pack together, and then calculate the results, you get a value termed tapped or packed bulk density. Tapped bulk density is always greater than or equal to loose bulk density. In both types of bulk density, some of the volume is taken up by the spaces between the grains of sand. The density of the sand grains, exclusive of the air between the grains, will be higher than the bulk density.

In candy making, density is affected by the melting and cooling processes. Loose granular sugar, like sand, contains a lot of air and is not tightly packed, but when it has melted and starts to boil, the sugar loses its granularity and some entrained air and becomes a fluid. When molded to make a smaller, compacted shape, the syrup tightens up and loses more air. As it cools, it contracts and gains moisture, making the already heavy candy even more dense.

For some materials, density can be calculated based on crystallographic information and molar mass:

${\mbox{density}}={\frac {M\cdot N}{L\cdot a\cdot b\cdot c}}$

where:

M is molar mass

N is the number of atoms in a unit cell

L is Loschmidt or Avogadro's number

a, b, c are the lattice parameters

The density with respect to temperature, T, has the following relation:

${\frac {{\mbox{density}}(T1)}{{\mbox{density}}(T2)}}={\frac {1+C*T1}{1+C*T2}}$

where:

C is the coefficient of cubic expansion.

Experimentally density can be found by measuring the dry weight ( $W_{d}$ ), the wet weight ( $W_{w}$) and submersed weight ( $W_{s}$), usually in water.

${\mbox{density}}={\frac {W_{d}*{\mbox{density of water}}}{W_{w}-W_{s}}}$

Other units

Density in terms of the SI base units is expressed in kilograms per cubic meter (kg/m³). Other units fully within the SI include grams per cubic centimetre (g/cm³) and megagrams per cubic metre (Mg/m³). Since both the litre and the tonne or metric ton are also acceptable for use with the SI, a wide variety of units such as kilograms per litre (kg/L) are also used. Imperial units or U.S. customary units, the units of density include pounds per cubic foot (lb/ft³), pounds per cubic yard (lb/yd³), pounds per cubic inch (lb/in³), ounces per cubic inch (oz/in³), pounds per gallon (for U.S. or imperial gallons) (lb/gal), pounds per U.S. bushel (lb/bu), in some engineering calculations slugs per cubic foot, and other less common units.

The maximum density of pure water at a pressure of one standard atmosphere is 999.861 kg/m³; this occurs at a temperature of about 3.98 °C (277.13 K).

From 1901 to 1964, a litre was defined as exactly the volume of 1 kg of water at maximum mass, and the maximum density of pure water was 1.000 000 kg/L (now 0.999 972 kg/L). However, while that definition of the litre was in effect, just as it is now, the maximum density of pure water was 0.999 972 kg/dm³. During that period students had to learn the esoteric fact that a cubic centimetre and a millilitre were slightly different volumes, with 1 mL = 1.000 028 cm³. (often stated as 1.000 027 cm³ in earlier literature).

Measurement of density

A common device for measuring the density of fluids is a pycnometer. A device for measuring the absolute density of a solid is a gas pycnometer.

Density of substances

Perhaps the highest density known is reached in neutron star matter (see neutronium). The singularity at the centre of a black hole, according to general relativity, does not have any volume, so its density is undefined.

Table 1: Densities of Various Substances

Substance	Density (kg/m³)		Substance	Density (kg/m³)
Iridium	22,650		Diamond	3,500
Osmium	22,610		Basalt	3,000
Platinum	21,450		Granite	2,700
Gold	19,300		Aluminum	2,700
Tungsten	19,250		Graphite	2,200
Uranium	19,050		Magnesium	1,740
Mercury	13,580		Polyvinylchloride (PVC)	1,300
Palladium	12,023		Seawater (15 °C)	1,025
Lead	11,340		Water	1,000
Silver	10,490		Ice (0 °C)	917
Copper	8,960		Polyethylene	910
Iron	7,870		Ethyl alcohol	790
Steel	7,850		Gasoline	730
Tin	7,310		Liquid Hydrogen	68
Titanium	4,507		Aerogel	3

The densest naturally occurring substance on Earth is iridium, at about 22,650 kg/m³. Aerogel is the world's lightest solid. Also, note the low density of aluminium compared to most other metals. For this reason, aircraft are made of aluminium.

Table 2
Air Densities at
Atmospheric Pressure

Temperature   (°C)	Density (kg/m³)
- 10	1.341
- 5	1.316
0	1.293
+ 5	1.269
+ 10	1.247
+ 15	1.225
+ 20	1.204
+ 25	1.184
+ 30	1.164

The density of any gas (in kg/m³), measured at 0 °C and 101.325 kPa, is 0.0446 times the molecular mass of the gas.