Everything about Gases totally explained
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This page is about the physical properties of gas as a state of matter. For the uses of gases, and other meanings, see Gas (disambiguation).
A
gas is a state of matter, consisting of a collection of particles (
molecules,
atoms,
ions,
electrons, etc.) without a definite shape or volume that are in more or less random motion.
Physical characteristics
Due to the electronic nature of the aforementioned particles, a "
force field" is present throughout the space around them. Interactions between these "force fields" from one particle to the next give rise to the term
intermolecular forces. Dependent on distance, these intermolecular forces influence the motion of these particles and hence their
thermodynamic properties. It must be noted that at the temperatures and pressures characteristic of many applications, these particles are normally greatly separated. This separation corresponds to a very weak attractive force. As a result, for many applications, this intermolecular force becomes negligible.
A gas also exhibits the following characteristics:
- Relatively low density and viscosity compared to the solid and liquid states of matter.
- Will expand and contract greatly with changes in temperature or pressure, thus the term "compressible".
- Will diffuse readily, spreading apart in order to homogeneously distribute itself throughout any container.
Macroscopic
When analyzing a system, it's typical to specify a
length scale. A
larger length scale may correspond to a
macroscopic view of the system, while a
smaller length scale corresponds to a
microscopic view.
On a macroscopic scale, the quantities measured are in terms of the
large scale effects that a gas has on a system or its surroundings such as its velocity, pressure, or temperature. Mathematical equations, such as the
Extended hydrodynamic equations,
Navier-Stokes equations and the
Euler equations have been developed to attempt to model the relations of the pressure, density, temperature, and velocity of a moving gas.
Pressure
The pressure exerted by a gas uniformly across the surface of a container can be described by simple
kinetic theory. The particles of a gas are constantly moving in random directions and frequently collide with the walls of the container and/or each other. These particles all exhibit the
physical properties of
mass,
momentum, and
energy, which all must be
conserved. In
classical mechanics,
Momentum, by definition, is the product of mass and velocity.
Kinetic energy is one half the mass multiplied by the square of the velocity.
The sum of all the
normal components of force exerted by the particles impacting the walls of the container divided by the area of the wall is defined to be the pressure. The pressure can then be said to be the average
linear momentum of these moving particles. A common misconception is that the collisions of the molecules with each other is essential to explain gas pressure, but in fact their random velocities are sufficient to define this quantity.
Temperature
The temperature of any
physical system is the result of the motions of the molecules and atoms which make up the system. In
statistical mechanics, temperature is the measure of the average kinetic energy stored in a particle. The methods of storing this energy are dictated by the
degrees of freedom of the particle itself (
energy modes). These particles have a range of different velocities, and the velocity of any single particle constantly changes due to collisions with other particles. The range in speed is usually described by the
Maxwell-Boltzmann distribution.
Specific Volume
When performing a thermodynamic analysis, it's typical to speak of
intensive and extensive properties. Properties which depend on the amount of gas are called
extensive properties, while properties that don't depend on the amount of gas are called
intensive properties.
Specific volume is an example of an
intensive property because it's the volume occupied by a
unit of mass of a material, meaning we've divided through by the mass in order to obtain a quantity in terms of, for example,
Special Topics
Compressibility
The compressibility factor (
) is used to alter the ideal gas equation to account for the real gas behavior. It is sometimes referred to as a "fudge-factor" to make the ideal gas law more accurate for the application.
Usually this
value is very close to unity.
Reynolds Number
In fluid mechanics, the Reynolds number is the ratio of inertial forces (
vsρ) to viscous forces (
μ/L). It is one of the most important dimensionless numbers in fluid dynamics and is used, usually along with other dimensionless numbers, to provide a criterion for determining dynamic similitude.
Viscosity
As we saw earlier: Pressure acts perpendicular (normal) to the wall. The tangential (shear) component of the force that's left over is related to the
viscosity of the gas. As an object moves through a gas, viscous effects become more prevalent.
Turbulence
In fluid dynamics,
turbulence or turbulent flow is a flow regime characterized by chaotic, stochastic property changes. This includes low momentum diffusion, high momentum convection, and rapid variation of pressure and velocity in space and time.
Boundary Layer
Particles will, in effect, "stick" to the surface of an object moving through it. This layer of particles is called the
boundary layer. At the surface of the object, it's essentially static due to the friction of the surface. The object, with its boundary layer is effectively the new shape of the object that the rest of the molecules "see" as the object approaches. This boundary layer
can separate from the surface, essentially creating a new surface and completely changing the flow path. The classical example of this is a
stalling airfoil.
Maximum Entropy Principle
As the total number of degrees of freedom approaches infinity, the system will be found in the
macrostate that corresponds to the highest
multiplicity.
Thermodynamic Equilibrium
Equilibrium thermodynamics applies if the energy change within a system occurs on a timescale large enough for a sufficient number of molecular collisions to occur so that the energy transfer between molecules and between energy modes to allow the new energy value to be distributed in equilibrium among the molecules. (For typical systems, this is on the order of a few nanoseconds)
Etymology
The word "gas" was invented by
Jan Baptist van Helmont, perhaps as a
Flemish Belgian pronunciation re-spelling of "
chaos".
Further Information
Get more info on 'Gases'.
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