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Mechanical Properties of Solids
Bulk modulus and compressibility
1 question, with its answer.
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The approximate depth of an ocean is 2700 m. The compressibility of water is $45.4\times 10^{-11}$ $Pa^{-1}$ and density of water is $10^3$ kg/$m^3$. What fractional compression of water will be obtained at the bottom of the ocean?Bulk modulus $B = \frac{p}{\Delta V/V} \Rightarrow \frac{\Delta V}{V} = \frac{p}{B} = pK$, where compressibility $K = \frac{1}{B}$.
$p = \rho gh$
$\frac{\Delta V}{V} = \rho g h K = 10^3\times 9.8\times 2700\times 45.4\times 10^{-11}$
$\frac{\Delta V}{V} \approx 1.2\times 10^{-2}$
That is every question in Bulk modulus and compressibility.
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