The compressibility of water is `6 xx 10^(-10)m^(2)//N`. If one litre of water is subjected to a pressure of `4 xx 10^(7) N//m^(2)`, then the decrease in volume will be

Options

A. 10cc
B. 24cc
C. 15cc
D. 12cc

Answer

B

Explanation

Bulk modulus, `B= - (P)/(((Delta V)/(V)))`
-ve sign shows that with an increase in pressure, a decrease in volume occurs.
Compressibility `k = (1)/(B) = - (Delta V)/(PV)`
Decrease in volume, `Delta V= PVk = 4 xx 10^(7) xx 1 xx 6 xx 10^(-10)`
`=24 xx 10^(-3)` litre
`=24 xx 10^(-3) xx 10^(3) cm^(3) = 24`cc