Question

How much should the pressure on a litre of water to be changed to compress it by 0.10% ? (Bulk modulus of water, $B=2.2\times {10}^{9}N{m}^{-2}$)

Answer 1

Volume of water, $V=1L$
It is given that water is to be compressed by 0.10%.
$\therefore$ Fractional change, $△V/V=\left(0.1/100\right)\times 1={10}^{-3}$
Bulk modulus, $B=P/\left(△V/V\right)$
$P=B\times \left(△V/V\right)$
Bulk modulus of water, $B=2.2\times {10}^{9}N{m}^{-2}$
$P=2.2\times {10}^9\times {10}^{-3}=2.2\times {10}^{6}N{m}^{-2}$
Hence, the pressure on water should be $2.2\times {10}^{6}N{m}^{-2}$