Question

A hydraulic press contains 250 litres of oil. Find the decrease in volume of the oil when its pressure increase to ${10}^{7}Pa$. The bulk modulus of the oil is $K=5\times {10}^{9}Pa$.

• A. -0.8 lit
• B. -0.5 lit
• C. -0.6 lit
• D. -0.9 lit

Answer 1

The correct option is B -0.5 lit

Given,

$\Delta P={10}^{7}Pa$

$V=250$ lit

$K=5\times {10}^{9}Pa$

The bulk modulus of the oil is given by,

$K=-\frac{\Delta P}{\Delta V/V}$

$\Delta V=-\frac{V\Delta P}{K}$

$\Delta V=-\frac{250\times {10}^7}{5\times {10}^9}$

$\Delta V=-0.5$ lit

The correct option is B.