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Amagat's law states that the extensive volume V = Nv of a gas mixture is equal to the sum of volumes V i of the K component gases, if the temperature T and the pressure p remain the same: [1] [2] (,) = = (,). This is the experimental expression of volume as an extensive quantity.
It is the same concept as volume percent (vol%) except that the latter is expressed with a denominator of 100, e.g., 18%. The volume fraction coincides with the volume concentration in ideal solutions where the volumes of the constituents are additive (the volume of the solution is equal to the sum of the volumes of its ingredients).
Volumetric flow rate is defined by the limit [3] = ˙ = =, that is, the flow of volume of fluid V through a surface per unit time t.. Since this is only the time derivative of volume, a scalar quantity, the volumetric flow rate is also a scalar quantity.
Specific volume is the volume occupied by a unit of mass of a material. [1] In many cases, the specific volume is a useful quantity to determine because, as an intensive property, it can be used to determine the complete state of a system in conjunction with another independent intensive variable. The specific volume also allows systems to be ...
The ideal gas equation can be rearranged to give an expression for the molar volume of an ideal gas: = = Hence, for a given temperature and pressure, the molar volume is the same for all ideal gases and is based on the gas constant: R = 8.314 462 618 153 24 m 3 ⋅Pa⋅K −1 ⋅mol −1, or about 8.205 736 608 095 96 × 10 −5 m 3 ⋅atm⋅K ...
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 ...
By contrast, an extensive property or extensive quantity is one whose magnitude is additive for subsystems. [4] Examples include mass, volume and Gibbs energy. [5] Not all properties of matter fall into these two categories. For example, the square root of the volume is neither intensive nor extensive. [1]
The first term is equal to the volume of the same quantity of solvent with no solute, and the second term is the change of volume on addition of the solute. ϕ V ~ 1 {\displaystyle {}^{\phi }{\tilde {V}}_{1}\,} may then be considered as the molar volume of the solute if it is assumed that the molar volume of the solvent is unchanged by ...