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. P

    I Find P(X+Y>1/2) for given joint density function

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  2. P

    Current generated by plasma of uneven density in a Magnetic Field

    I am only asking about part (b)(i) and (b)(ii). Below is the explanation for (b)(i). What is going on in the above? I understand up till the 3rd line, about the left/right hand circular motion. What is the "upward motion" the solution mentioned? Is it suggesting that ions are moving...
  3. A

    Writing the charge density in the form of the Dirac delta function

    Hey guys! Sorry if this is a stupid question but I'm having some trouble to express this charge distribution as dirac delta functions. I know that the charge distribution of a circular disc in the ##x-y##-plane with radius ##a## and charge ##q## is given by $$\rho(r,\theta)=qC_a...
  4. G

    I How do I calculate density given height and volume?

    I’m trying to calculate how many Joules are stored in the Hyperion tree, the worlds tallest (115.84 m). However, I cannot find the mass of said tree, and am trying to find it by multiplying density by the volume (530 m^3) because if p=m/V then p•V=m, but I cannot find the density of the tree, so...
  5. L

    Help calculating the current from the density and a rotating frame

    hi need help in physics HW: given current density [J][/→]=[J][/0][x][/Λ] and rotating frame with given surface vector: $$ A^→ = A_0(cos(wt)x^Λ + sin(wt)y^Λ$$ in need to calculate I(t) i tried I = ∫J*dA but i don't know i to technically do the math please help me
  6. J Silva

    Is the magnetic flux density B constant?

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  7. Haorong Wu

    I Applying Heisenberg picture to density operator

    Suppose that a particle evolves from point A to point B. The state of the particle can be written as $$\rho=\sum \left | m\right >\rho_{mn}\left< n\right | .$$ Because the basis is evolving as the particle travels, I am considering applying the Heisenberg picture to the density operator. Let...
  8. GhostLoveScore

    Calculating flux density of radio telescope

    Hello I've made a small program that does FFT, Fast Fourier Transform on a signal from radio receiver (RTL SDR), and parabolic antenna. Of course, the output is amplitude depending on frequency. I want to use it to detect and measure 1420MHz radiation from space. But I'm not sure on what's the...
  9. P

    I Is the current density operator derived from fundamental considerations?

    Hello, I found this article. In equation (1) the authors wrote that the current operator is given by : ## - \frac{\delta H}{\delta A} ##. I just would like to know if this relation is a just definition or if it can be derived from more fundamentals considerations ? Thanks !
  10. I

    Compacting particles to add density

    Hi, I was wondering if compacting a particle p, you could create an even more dense one. In my theory, you would have a particle of any material, (for example: copper) and you combine it with another copper particle, if you compacted it enough, would the density of the two particles be added up...
  11. C

    Uniform Density Stars: Struggling with Understanding

    I don't know where to start. This chapter is incredibly confusing for me.
  12. patric44

    Derivation of the density of states?

    hi guys i have a question about the derivation of the density of states , after solving the Schrodinger equation in the 3d potential box and using the boundary conditions ... etc we came to the conclusion that the quantum state occupy a volume of ##\frac{\pi^{3}}{V_{T}}## in k space and to...
  13. I

    I Relation between spectral intensity and spectral energy density

    In Principles of Lasers by Svelto, while deriving the Planck radiation formula, equation 2.2.3 says $$I_{\nu} = \frac {c_0} {4n} \rho_\nu$$ where ##I_\nu## is the spectral intensity at some hole in the cavity wall (energy per time per area per frequency), ##c_0## is the speed of light in...
  14. yourheartandsoul

    Finding blood pressure from density and height difference

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  15. J

    Find rate of temperature change using heat capacity, density and area

    So first I found rate of heat change using the above equation, with T=883K, e=1, SA= 6*l^2=21.66 Now dQ/dt=746593.71 W Now I am not sure entirely what to do next. They give density so I likely have to get the mass from that, M=pV,=1.9^3*4037=27689.783 kg. My issue is that I don't know how to...
  16. redtree

    I Separation of variables for Named Probability Density Distributions

    Given a probability density distribution ##P(\vec{x})##, for what named distributions is the following true: \begin{equation} \begin{split} P(\vec{x}) &= P_1(x_1) P_2(x_2) ... P_n(x_n) \end{split} \end{equation}
  17. LeoChan

    I When was the matter density equal to the vacuum energy density?

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  18. E

    Average Energy density and the Poynting vector of an EM wave

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  19. I

    Chemistry Measuring Density of 7-Up: A Guide

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  20. K

    B Could Archimedes' problem have been solved a little differently?

    When I was reading this page to understand Archimedes' 'story' I got a question: http://hyperphysics.phy-astr.gsu.edu/hbase/pbuoy.html#buoy According to the example shown, Archimedes found the density of crown by finding the apparent weight. What if he had just measured the volume of water...
  21. H

    If the wave function is normalized, what is the probability density at x?

    The wave function ψ(x) of a particle confined to 0 ≤ x ≤ L is given by ψ(x) = Ax, ψ(x) = 0 for x < 0 and x > L. When the wave function is normalized, the probability density at coordinate x has the value? (A) 2x/L^2. (B) 2x^2 / L^2. (C) 2x^2 /L^3. (D) 3x^2 / L^3. (E) 3x^3 / L^3 Ans : D
  22. A

    I Change of variables in the Density of States function

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  23. S

    B What is the true density of the Asteroid Belt?

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  24. C

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  25. brotherbobby

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  26. MahdiI84

    I Obtain the Density of State using the Green function

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  27. MahdiI84

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  28. brotherbobby

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  29. M

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  30. M

    Finding marginal distribution of 2d of probability density function

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  31. person123

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  32. PhysicsTest

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  33. Y

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  34. Arman777

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    In cosmology the deceleration parameter defined as the $$q_0 = \frac{1}{2}\sum_i\Omega_{i,0}(1+3w_i)$$ Is there a similar expression for the jerk parameter (##j_0##) ?
  35. Another

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  36. Another

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  37. PhysicsTest

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  38. S

    Do equations for groundwater flow refer to water density?

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  39. lelouch_v1

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  40. jk22

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  41. E

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  42. K

    Probability density in statistical Mechanics

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  43. D

    I Do we first determine the gravity or density of a celestial object?

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  44. AHSAN MUJTABA

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  45. S

    What limits superconducting machine power density?

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  46. I

    Converting Units to Find Density of Unit Cell

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  47. Mr_Allod

    Bound Bulk Current Density and Surface Current Density

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  48. U

    Opacity and density of the sun

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