Compressibility per unit atm. pressure of water is $'\sigma '$ and if due to pressure $P$ there is decrement in volume $V$, find change is volume
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$\mathrm{K}=\frac{\mathrm{PV}}{\Delta \mathrm{V}}$

$\frac{1}{\sigma}=\frac{\mathrm{PV}}{\Delta \mathrm{V}} $

$ \Rightarrow \Delta {\rm{V}} = \sigma {\rm{PV}}$

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