Question

A hydraulic press contains 250 litre of oil Find the decrease in volume of
the oil when its pressure increases to 107 Pa. The bulk modulus of the oil
is K = 5 x 10º pa
1) -0.8 litre 2) -0.5 litre 3) -0.6 litre 4) -0.9 litre​

Answer 1

Answer:

The decrease in volume of the oil is 0.5 Litre

Explanation:

As we know that bulk modulus is the ratio of increase in pressure and volumetric strain

So it is given as

$B = \frac{\Delta P}{\frac{\Delta V}{V}}$

now we will have

$\Delta P = 10^7 Pa$

$\frac{\Delta V}{V} =$ volumetric strain

$B = 5 \times 10^9 Pa$

now we have

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

so we will have

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

$\Delta V = 250 \times 2 \times 10^{-3}$

$\Delta V = -0.5 Litre$

#Learn

Topic : Bulk Modulus