Relation between compressibility and kinetic energy – other detail

The main relation between compressibility and kinetic energy is when compressibility of a matter increases then the kinetic energy of the matter also increases and when compressibility of the matter decreases then kinetic energy of the matter also decreases.

On the other hand the main relation between compressibility and kinetic energy is compressibility of the matter is directly proportional to the kinetic energy of that matter even it may be solid, liquid or gas.

If a matter (solid, liquid or gas) have larger gap between their particles that means the compressibility of that matter is high and kinetic energy of that matter is also high.  but if a matter have small gap between their particles that means the compressibility of that matter is low and kinetic energy of that matter is also low.

After this complex discussion. we have a confusion that how ‘large gap’ particle have greater kinetic energy and high compressibility and how a small gap particles have lower kinetic energy and also low compressibility. so lets understand it by taking an example.

In this figure we can see there are four piston a, b, c and d. each piston is filled with small particles. 

In piston ‘a’ particles are filled with a large gap between them so we can say that particles in the piston ‘a’ has greater kinetic energy because we know that kinetic energy is the energy of the particles that is generated by the movement of the particles means greater the movement higher the kinetic energy.. so in piston ‘a’  each particles are separated by large gap. so movement of the particles will be greater. therefore the kinetic energy of the particles will be much more.

But we know that the kinetic energy of the matter is directly proportional to the compressibility. so compressibility in piston ‘a’ is also high. due to the high kinetic energy. Now lets have a look on another piston ‘b’.

In piston  ‘b’ particles are filled with very low gap between them. so kinetic energy of the particles in piston ‘b’ is smaller than the piston ‘a’. because in piston ‘b’ movement of the particles are not so fast due to the rigidity or high density of the particles. on the other hand particles are collided with each other when they move so their speed decreases due to collide of the particles. therefore movement of the particles decreases and hence kinetic energy also decreases.

Therefore, compressibility of the particles also decreases due to the rigidity or high density of the particles. on the other hand we know that when kinetic energy decreases then compressibility also decreases and kinetic energy increases then compressibility aslo increases.

In piston ‘d’ we can easily see that there is high density of the particles so movement of the particles are not so fast in piston ‘d’. therefore, kinetic energy in piston ‘d’ decreases due to rigidity. so compressibility in piston also decreases.

Compressibility:- Compressibility is the property of a fluid (or solid) due to which its volume decreases when pressure is applied. the particles in gases have large space between them due to which their volume decreases too much when pressure is applied on them. 

gasses have high compressibility to the compare of all the three state of matter. on the other hand liquid and solid has much compressibility because solid and liquid has small gap between the particles. so solids and liquids do not have much compressibility.

compressibility works, like when the gap between the particles of the matter are larger then compressibility is high. but when the gap between the particles of the matter (solid, liquid or gas) are small then the compressibility is low.

Kinetic energy:- The energy possessed by a material due to the motion of its particles is called kinetic energy. At a given temperature, the particles in gas have the maximum kinetic energy because they move with high speeds due to weakest forces of attraction among them. liquid have lesser kinetic energy than gas whereas solid has the very least amount of kinetic energy on their particles. 

Note:- The kinetic energy of the solid are sometimes taken as negligible.

On the other hand kinetic energy is the energy generated by the movement of the particles of the matter. Kinetic energy of the matter depends on the density of the matter. If matter has high density then kinetic energy is small, but if the density of the matter is low then the kinetic energy of the matter is high. so 

The relation between kinetic energy and density is that when density of the matter increases then kinetic energy of that matter decreases and when density of the matter decreases then kinetic energy of that matter increases.

On the other hand kinetic energy of a matter is inversely proportional to the density of a matter. so we conclude that,

Rigidity is the property of a solid to resist change in its shape when an outside force is applied. in most simple word rigidity means high density. In solid state particles are closely packed with each other so rigidity of the solid is high. Liquid and gas has lower rigidity to the compare of solid.

Compressibility is that property of a solid due to which its volume decreases when pressure is applied. gas has high compressibility. solid and liquid have low compressibility to the compare of gasses.

The property of flowing easily is called fluidity. gas and liquid can easily flow so it has high fluidity but solid has very low fluidity. 

The energy possessed by a material due to the motion of its particles is called kinetic energy. gas have high kinetic energy. solid and liquid have low kinetic energy to the compare of gas.

The mass per unit volume of a material is called its density. solid have high density. liquid and gas have lower density to the compare of solid.