The compressibility of water is `4.5xx10^(-10)m^(2)//N`. 1 L of water is subjected to pressure of `2xx10^(7)N//m^(2)`. The decrease in its volume is

Options

A. 9 cc
B. 4 cc
C. 5 cc
D. 1 cc

Answer

A

Explanation

`k'=(1)/(k)=(1)/(v(dp)/(dv))=(dv)/(vdp)`
`dv= ` v dp k'
`=10^(-3) xx 2 xx 10^(7)xx4.5xx10^(-10)`
`=9xx10^(-6)m^(3)`
` = 9 c c` .