Question

What is the unit of compressibility?

Answer 1

Compressibility

1. Compressibility is defined as: $compres\mathrm{si}bility=\frac{1}{Bulkmodulus}\left(k=\frac{1}{B}\right)$ As $B=\frac{PV}{△V}$ So, $K=\frac{PV}{△V}$ Here $P=pressure,V=volume$
2. The SI unit of compressibility is $\frac{m^2}{N}$
3. When we talk about compressibility, we usually mean the inverse or reciprocal of the bulk modulus of elasticity.
4. So, when we evaluate the unit of compressibility, we are essentially examining those of reciprocal pressure, ${\mathrm{Pa}}^{-1}$ or $atm-1$.
5. The $\mathrm{Sl}$ unit of compressibility is mostly given as $\frac{m^2}{N}$.