Question

Problem: what pressure must be exerted on 20L of water at 20 0C to change its volume to 18.7L? The bulk modulus of elasticity of water at this temperature is 2.2×109Pa

Answer 1

Answer on Question #53004-Physics-Mechanics-Kinematics-Dynamics

What pressure must be exerted on 20L of water at 20 O C to change its volume to 18.7L? The bulk modulus of elasticity of water at this temperature is $2.2 \times 109 \mathrm{~Pa}$

Solution

The bulk modulus of elasticity is

$$E = - \frac {\Delta p}{\frac {\Delta V}{V}}.$$

Thus,

$$\Delta p = - E \frac {\Delta V}{V} = 2.2 \cdot 10^{9} \mathrm{Pa} \cdot \frac {20L - 18.7L}{20L} = 143 \cdot 10^{6} \mathrm{Pa} = 143 \mathrm{MPa}.$$

Answer: 143 MPa.

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