Question

By how much the pressure on one litre of water be changed to compress it 0.2%? The bulk modulus of water = 2.2 x 10⁹ Pa.

Answer 1

\(\frac{\Delta V}{v}\) = 0.2% = \(\frac{0.2}{100}\) = 0.002, ß = 2.2 x 10⁹ Pa

As \(\beta = \frac{\frac{P}{\Delta V}}{V}\)

∴ P = \(\beta\times\frac{\Delta V}{V}\) = 2.2 x 10⁹ x 0.002

= (4.6 x 10⁶ Pa)