Question

what is compressibility?

Answer 1

In thermodynamics and fluid mechanics, compressibility is a measure of the relative volume change of a fluid or solid as a response to a pressure change. where V is volume and p is pressure.

Answer 2

Compressibility => it is define as the ratio of compressive stress to the volumetric strain.

Let understand it with a simple example
(check diagram in image attachment)


Consider a cylinder with piston as show in image



Let

V= volume of the gas in cylinder

P= pressure of the gas when volume is V

Now let pressure is increased to

P+ dp

The volume is decreased to V-dv

So increase in pressure =dp

Decrease in volume = dv

Now we can calculate volumetric strain = change in volume / original volume

= - dv/V

(- sign show decrease in volume)

Now we know

The bulk Modulus (k)

K= increase in pressure / volumetric strain

So we can also define compressibility in this way

= it is the reciprocal of bulk modulus


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