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. `0.4an^(3)`
B. `4xx10^(-5) an^(3)`
C. `0.25an^(3)`
D. `0.4an^(3)`

Answer

A

Explanation

`B=(1)/("compressibily")=0.25xx10^(5)atm`
`=(P)/(DeltaV//V)=(100xx100)/(DeltaV),DeltaV=(10^(4)xx4)/(10^(5))C C=0.4C C`