Question

The bulk modulus of water is `2.3 xx 10^(9) Nm^(-2)`.
(i) Find its compressibility.
(ii) How much pressure in atmosphere is needed to compress a sample of water by 0.1%

Answer 1

Here, `B=2.3 xx 10^(9) Nm^(-2)=(2.3xx10^(9))/(1.01xx10^(5))=2.27xx10^(4)` atm
(i)Compressibility `=(1)/(B)=(1)/(2.27xx10^(4))=4.4xx10^(-5) "atm"^(-1)`
(ii) Here, `(DeltaV)/(V)=-0.1% =-0.001`
Required increase in pressue,
`Deltap=Bxx(-(DeltaV)/(V))=2.27xx10^(4)=0.001=22.7` atm