Question #53001

Problem: A liquid with the volume of o.2 m3 at 300kPa is subjected to the pressure of3000kPa and its volume is found to decrease by 0.2%. Calculate the bulk modulus of elasticity of the liquid.
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Expert's answer

2015-06-15T00:00:42-0400

Answer on Question #53001-Physics-Mechanics-Kinematics-Dynamics

A liquid with the volume of 0.2 m3 at 300kPa is subjected to the pressure of 3000kPa and its volume is found to decrease by 0.2%. Calculate the bulk modulus of elasticity of the liquid.

Solution

The bulk modulus of elasticity of a liquid is


E=Δp(ΔVV)=3000kPa300kPa0.002=1350MPa.E = - \frac {\Delta p}{\left(\frac {\Delta V}{V}\right)} = \frac {3 0 0 0 \mathrm {k P a} - 3 0 0 \mathrm {k P a}}{0 . 0 0 2} = 1 3 5 0 \mathrm {M P a}.


Answer: 1350MPa.

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