Volume Measure
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A Volume Measure is a physical measure that quantifies the space occupied by an object or group of particles.
- Context:
- It can be defined as a function of mass (m) and density([math]\displaystyle{ \rho }[/math]), i.e. [math]\displaystyle{ V = m/\rho }[/math].
- It derived thourgh the thermodynamics derivatives of pressure (P) and temperature (T) [math]\displaystyle{ d V=(\frac{dV}{dP})_T dP + (\frac{dV}{dT})_P dT }[/math].
- It can be derived from the ideal gas law to be [math]\displaystyle{ V = nRT/P }[/math], where n is number of moles , R is the gas constant, T is the temperature and P is the pressure.
- Example(s)
- Counter-Example(s):
See: Density, Mass, Pressure, Temperature, Entropy.
References
- http://en.wikipedia.org/wiki/Volume
- The volume of any solid, liquid, plasma, vacuum or theoretical object is how much three-dimensional space it occupies, often quantified numerically. One-dimensional figures (such as lines) and two-dimensional shapes such as square geometry squares are assigned zero volume in the three-dimensional space. Volume is commonly presented in units such as mililitres or cm3 (milliliters or cubic centimeters).
- Volumes of some simple shapes, such as regular, straight-edged and circular shapes can be easily calculated using arithmetic Formulas. More complicated shapes can be calculated by Integral Calculus if a formula exists for its boundary. The volume of any shape can be determined by displacement.
- In Differential Geometry, volume is expressed by means of the Volume Form, and is an important global Riemannian invariant.
- Volume is a fundamental parameter in Thermodynamics and it is conjugate to Pressure.