What is Density: Definition and 1000 Discussions

The density (more precisely, the volumetric mass density; also known as specific mass), of a substance is its mass per unit volume. The symbol most often used for density is ρ (the lower case Greek letter rho), although the Latin letter D can also be used. Mathematically, density is defined as mass divided by volume:




ρ
=


m
V




{\displaystyle \rho ={\frac {m}{V}}}
where ρ is the density, m is the mass, and V is the volume. In some cases (for instance, in the United States oil and gas industry), density is loosely defined as its weight per unit volume, although this is scientifically inaccurate – this quantity is more specifically called specific weight.
For a pure substance the density has the same numerical value as its mass concentration.
Different materials usually have different densities, and density may be relevant to buoyancy, purity and packaging. Osmium and iridium are the densest known elements at standard conditions for temperature and pressure.
To simplify comparisons of density across different systems of units, it is sometimes replaced by the dimensionless quantity "relative density" or "specific gravity", i.e. the ratio of the density of the material to that of a standard material, usually water. Thus a relative density less than one relative to water means that the substance floats in water.
The density of a material varies with temperature and pressure. This variation is typically small for solids and liquids but much greater for gases. Increasing the pressure on an object decreases the volume of the object and thus increases its density. Increasing the temperature of a substance (with a few exceptions) decreases its density by increasing its volume. In most materials, heating the bottom of a fluid results in convection of the heat from the bottom to the top, due to the decrease in the density of the heated fluid. This causes it to rise relative to more dense unheated material.
The reciprocal of the density of a substance is occasionally called its specific volume, a term sometimes used in thermodynamics. Density is an intensive property in that increasing the amount of a substance does not increase its density; rather it increases its mass.

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  1. R

    Finding mass from mass density of lamina

    Homework Statement Homework Equations m = ∫∫sρ(x,y,z)dS The Attempt at a Solution I used polar coordinates for this (is that necessary here)? I found zx and zy, took the cross product of those, and found it to be √(2). So dS = √2 dA. √2 ∫02pi∫25r2drdθ = 78pi√2
  2. I

    Current density in two dielectric environments

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  3. SadPanda6022

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    1. Homework Statement A block of wood has a mass of 3.47 kg and a density of 628 kg/m3. It is to be loaded with lead (1.13 × 104 kg/m3) so that it will float in water with 0.848 of its volume submerged. What mass of lead is needed if the lead is attached to (a) the top of the wood and (b) the...
  4. H

    I Density Curvature Parameter: Can We Predict?

    If I know the density curvature parameter for today $$ \Omega_{k,0} = \frac{-c^{2}k}{R_{0}H_{0}} $$ then is it possible to surmise what it would be, say, during the matter dominated era $$ \Omega_{k,t} = \frac{-c^{2}k}{R(t)H(t)}$$ ?
  5. B

    I Calculating average density of the Universe

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  6. S

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  7. Ranku

    I Will a Slow Decrease in Dark Energy Density Alter the Fate of the Universe?

    If dark energy density were to be very slowly decreasing, how will the fate of the universe be any different from the energy density being constant? Would not the energy density be completely dominant in the future even if it were to be very slowly decreasing?
  8. A

    What does current density mean?

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  9. N

    I Calculating total force over bounded area [Given p density]

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  10. T

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  11. naima

    I A question about reduced density matrices

    We have ## \rho ## and a hamiltonian K on ## H_s \otimes H_E##. have we (K \rho)_S \otimes Id_E = K (\rho _S \otimes Id_E) ? here ## \rho _ s ## and ## (K \rho) _ s ## are the reduced density matrices. If P maps an operator O to ##O_S \otimes Id_E##, I have to prove that ## PK \rho = KP...
  12. S

    Compute the magnitude of the current density

    Homework Statement Copper and aluminum are being considered for a high‐voltage transmission line that must carry a current of 51.4 A. The resistance per unit length is to be 0.176 Ω/km. Compute the magnitude of the current density for an aluminum cable. Homework Equations R\quad =\quad \frac {...
  13. S

    Find the magnitude of the current density

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  14. EliotBry

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  15. J

    A Quantum versus classical computation of the density of state

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  16. entropy1

    I Density matrices, pure states and mixed states

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  17. toforfiltum

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  18. M

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  19. U

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  20. G

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  21. x2017

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  22. T

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  23. thegirl

    I How does number density relate to probabilty density

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  24. I

    I Probability density and kinetic

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  25. T

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  26. RaulTheUCSCSlug

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  27. Alettix

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  28. Titan97

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  29. L

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  30. A

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  31. vinamas

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    Homework Statement A wooden cube is floating in a cup containing drinking water and an unidentified fluid.0.5 of the cube's volume is submerged in water and 0.4 of the cube volume is floating on the unidentified fluid find the density of the cube and the density of the unidentified...
  32. K

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    Homework Statement I am trying to calculate the charge density in the first subband (n=1) of the quantum well of length L as shown in the below figure. here is the electron wave function for the first sub-band and its value (from relevant equation 1) is given as Ψ12(x) = 2/L*sin2(πx/L) from...
  33. Fernando Valadares

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  34. James William

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  35. P

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  36. R

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  37. L

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  38. O

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  39. F

    Calculate the charge of a density distributed along z axis?

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  40. I

    How do I solve an electron density continuity equation for Earth's atmosphere?

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  41. W

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  42. N

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  43. SammiEmN

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  44. CrackerMcGinger

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  45. C

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  46. P

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  47. J

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  48. I

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  49. J

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