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Density

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In physics, density is mass (m) per unit volume (V) — the ratio of the amount of matter in an object compared to its volume. A small, heavy object, such as a rock or a lump of lead, is denser than a larger object of the same mass, hel]] (lb/bu)

=erature on the densities of liquids and solids is small so that a typical compressibility for a liquid or solid is 10 bar (1 bar=0.1 MPa) and a typical thermal expansivity is 10 K.

In contrast, the density of gases is strongly affected by pressure. Boyle's law says that the density of an ideal gas is given by

ρ = M P R T {\displaystyle \rho ={\frac {MP}{RT}}}

where R {\displaystyle R} is the universal gas constant, P {\displaystyle P} is the pressure, M {\displaystyle M} the molar mass, and T {\displaystyle T} the absolute temperature.

This means that a gas at 300 K and 1 bar will have its density doubled by increasing the pressure to 2 bar or by reducing the temperature to 150 K.

Density of water

Temperature Density (at 1 atm)
°C °F kg/m³
0.0 32.0 999.8425
4.0 39.2 999.9750
15.0 59.0 999.1026
20.0 68.0 998.2071
25.0 77.0 997.0479
37.0 98.6 993.3316
50.0 122.0 988.04
100.0 212.0 958.3665

Density of air

T in °C ρ in kg/m³ (at 1 atm)
–10 1.342
–5 1.316
0 1.293
5 1.269
10 1.247
15 1.225
20 1.204
25 1.184
30 1.164

References

  1. Density of water, as reported by Daniel Harris in Quantitative Chemical Analysis, 4th ed., p. 36, W. H. Freeman and Company, New York, 1995.

Books

  • Fundamentals of Aerodynamics Second Edition, McGraw-Hill, John D. Anderson, Jr.
  • Fundamentals of Fluid Mechanics Wiley, B.R. Munson, D.F. Young & T.H. Okishi
  • Introduction to Fluid Mechanics Fourth Edition, Wiley, SI Version, R.W. Fox & A.T. McDonald
  • Thermodynamics: An Engineering Approach Second Edition, McGraw-Hill, International Edition, Y.A. Cengel & M.A. Boles

See also

External links

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