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Gassmann's equations are a set of two equations describing the isotropic elastic constants of an ensemble consisting ... Correct the bulk density for the change in ...
When the gas is not ideal, these equations give only an approximation of the bulk modulus. In a fluid, the bulk modulus K {\displaystyle K} and the density ρ {\displaystyle \rho } determine the speed of sound c {\displaystyle c} ( pressure waves ), according to the Newton-Laplace formula
The density of quartz is around 2.65 g/cm 3 but the (dry) bulk density of a mineral soil is normally about half that density, between 1.0 and 1.6 g/cm 3. In contrast, soils rich in soil organic carbon and some friable clays tend to have lower bulk densities ( <1.0 g/cm 3 ) due to a combination of the low-density of the organic materials ...
From the equation for density ... solid, or a different gas or gaseous mixture. The bulk volume of a material —inclusive of the void space fraction— is often ...
For a substance X with a specific volume of 0.657 cm 3 /g and a substance Y with a specific volume 0.374 cm 3 /g, the density of each substance can be found by taking the inverse of the specific volume; therefore, substance X has a density of 1.522 g/cm 3 and substance Y has a density of 2.673 g/cm 3. With this information, the specific ...
The particles in real materials interact with each other. Then, the relation between the pressure, density and temperature is known as the equation of state denoted by some function . The Van der Waals equation is an example of an equation of state for a realistic gas. = (,).
Isotherms of an ideal gas for different temperatures. The curved lines are rectangular hyperbolae of the form y = a/x. They represent the relationship between pressure (on the vertical axis) and volume (on the horizontal axis) for an ideal gas at different temperatures: lines that are farther away from the origin (that is, lines that are nearer to the top right-hand corner of the diagram ...
Using the number density of an ideal gas at 0 °C and 1 atm as a yardstick: n 0 = 1 amg = 2.686 7774 × 10 25 m −3 is often introduced as a unit of number density, for any substances at any conditions (not necessarily limited to an ideal gas at 0 °C and 1 atm).