Question

Problem: In a test to determine the bulk modulus of elasticity of a liquid it was found that as the absolute pressure was changed from 2MPa to 4MPa, the volume decreased from 1500 cm3 to 1488cm3. Determine the bulk modulus of elasticity of this liquid.

Answer 1

Answer on Question #52998-Physics-Mechanics-Kinematics-Dynamics

In a test to determine the bulk modulus of elasticity of a liquid it was found that as the absolute pressure was changed from 2MPa to 4MPa, the volume decreased from 1500 cm3 to 1488cm3. Determine the bulk modulus of elasticity of this liquid.

Solution

The bulk modulus of elasticity of this liquid is

$$E = - \frac {\Delta p}{\left(\frac {\Delta V}{V}\right)} = - \frac {4 \mathrm {MPa} - 2 \mathrm {MPa}}{\left(\frac {1488 \mathrm {cm} ^ {3} - 1500 \mathrm {cm} ^ {3}}{1500 \mathrm {cm} ^ {3}}\right)} = 250 \mathrm {MPa}.$$

Answer: 250MPa.

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