The compressibility of water is `4 xx 10 ^(-5)` per unit atmospheric pressure. The decrease in volume of `100 cm^(3)` of water under a pressure of 100 atmosphere will be .........

Options

A. `0.4 cm ^(3)`
B. `0.004 cm ^(3)`
C. `4 xx 10 ^(8) cm ^(3)`
D. `0.025 cm ^(3)`

Answer

C

Explanation

Compressibility `= (Delta V)/(PV)`
`therefore Delta V` = compressibility `xx PV`
`=4 xx 10 ^(-5) xx 100 xx 1 xx 10 ^(5)`
`= 400 m ^(3)`
`= 400 xx (100) ^(3)`
`=4 xx 10 ^(8) cm ^(3)`