The compressibility of water is `4xx10^-5` per unit atmospheric pressure. The decrease in volume of 100 cubic centimetre of water under a pressure of 100 atmosphere will be

Options

A. `0.4" cm"^(3)`
B. `4xx10^(-5)" cm"^(3)`
C. `0.025" cm"^(3)`
D. `0.004" cm"^(3)`

Answer

A

Explanation

As compressibility
`=(1)/(B)=4xx10^(-5)` per atm
Hence, `B=2.5xx10^(4)` atm
As`" "B=(p)/(DeltaV//V)`
`implies" "DeltaV=(pV)/(B)`
`=(100xx100)/(2.5xx10^(4))=0.4" cm"^(3)`