Question

A pressure of 10 MPa is applied to 0.25m3 of a liquid, causing a volume reduction of 0.005 cm3. Determine the bulk modulus of elasticity.

Answer 1

Answer:

K = 500 x 10⁶ MPa

Explanation:

Given that

P = 10 MPa

V= 0.25 m ³

Reduction in the volume ,ΔV=- 0.005 cm³

We know that 1 m = 1000 cm

ΔV=- 0.005 cm³ = - 0.005  x 10⁻⁶ m³

We know that bulk modulus given as

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

Now by putting the values

$K=-\dfrac{10}{\dfrac{-0.005\times 10^{-6}}{0.25}}$

We get

K = 500 x 10⁶ MPa

Therefore the bulk modulus of the elasticity will be 500 x 10⁶ MPa.