Density of water, \(\rho = {10^3}\,kg\,{m^{ - 3}}\)
Compressibility of water, \(K = 45.4 \times {10^{ - 11}}P{a^{ - 1}}\)
\(\frac{{\Delta V}}{V} = ?\)
Excess pressure at the bottom, \(\Delta P = \rho gd\)
\( = {10^3} \times 10 \times 2700 = 27 \times {10^6}Pa\)
\(We\,know,\,B = \frac{{\Delta P}}{{\left( {\Delta V/V} \right)}}\)
\(\left( {\frac{{\Delta V}}{V}} \right) = \frac{{\Delta P}}{B} = K.\Delta P\) \(\left( {K = \frac{1}{B}} \right)\)
\( = 45.4 \times {10^{ - 11}} \times 27 \times {10^6} = 1.2 \times {10^{ - 2}}\)