Answer to Question #253316 in Mechanics | Relativity for Rey

Question

What is the volume of change of 2m³ of water at 20°C due to an applied pressure of 10 MPa?

Answer 1

$\Delta P = 10MPa = 10^7Pa$

$V_0= 2m^3$

$K = 2.2*10^9 Pa\text{ bulk modulus of elasticity of water}$

$K= -V_0\frac{\Delta P}{\Delta V}$

$\Delta V= -V_0\frac{\Delta P}{K}=-2\frac{10^7}{2.2*10^9}=-0.91*10^{-2}m^3$

$\text{Answer: the volume of water decreased by }0.91*10^{-2}m^3$