Find the decrease in the volume of a simple of water from the following data. Initial volume `=2000 cm^(-2)` , initial pressure `=10^(5) Nm^(-2)` , final pressure `=10^(6) N^(-1)m^(2)`.

Explanation

Bulk modulus
`B=(1)/("Compressibility")=(1)/(25xx10^(-11))=4xx10^(9)` and `B=(-Deltap)/(DeltaV//V)`
`therefore` Decrease in the volume
`DeltaV=-(DeltapV)/(B)=((10^(6)-10^(5))(2000xx10^(-6)))/(4xx10^(9))`
`=4.5xx10^(-7)m^(3)=4.5xx10^(-7)10^(6) cm^(3)=0.45 cm^(3)`