The compressibility of water is `5 xx 10^(-10) m^(2)//N` . If it is subjected to a pressure of 15 MPa, the fractional decrease in volume will be-

Options

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

Answer

B

Explanation

Bulk modulus , `B =- (P)/((DeltaV//V))` -ve sign shows that with an increase in pressure, a decrease in volume occurs.
Compressibility, `K = (1)/(B) = - (DeltaV)/(PV)`
Decrease in volume, `DeltaV = PVK `
`= 4xx 10^(7) xx 1xx6xx 10^(-10) = 24 xx 10^(-3)` litre
`= 24 xx 10^(-3) xx 10^(3)cm^(3) = 24 c c`