# Compressibility

Written by Jerry Ratzlaff on . Posted in Thermodynamics

Compressibility, abbreviated as $$\beta$$ (Greek symbol beta), also known as coefficient of compressibility, measures the change in volume under external forces for any liquid.

### compressibility formula

$$\large{ \beta = - \frac{1}{V} \; \frac{\partial V}{ \partial p} }$$

$$\large{ \beta = \frac{1}{K} }$$

Where:

$$\large{ \beta }$$  (Greek symbol beta) = compressibility

$$\large{ K }$$ = bulk modulus

$$\large{ \partial p }$$ = pressure (the rate of change)

$$\large{ V }$$ = volume

$$\large{ \partial V }$$ = volume (the rate of change)