Question

What is the relation between compressibility and Bulk modulus?

Answer 1

1. Compressibility is the property of being compressed by pressure into a smaller space. It is denoted as $\beta$.
2. A substance's bulk modulus is defined as the ratio of infinitesimal pressure increase to volume decrease. It is denoted as $k$.
3. Bulk modulus can be written as $k=-\frac{vdp}{dv}$.Here $v$ is the initial volume and $p$is pressure.
4. The relation between compressibility and Bulk modulus can be written as $\beta =\frac{1}{k}$.