How much pressure should be applied on a litre of water if it is to be compressed by 0.1%?
(Bulk modulus of water= 2100 MPa)

Options

A. 2100 kPa
B. 210 kPa
C. 2100 Mpa
D. 210MPa

Answer

A

Explanation

Here, V = 1 litre `= 10^(-3) m^(-3)`,
B = 2100 MPa `= 2100 xx 10^(6) Pa`
Volume strain `= (DeltaV)/(V) = (0.1)/(100)= 1xx10^(-3)`
Bulk modulus, `B = (P)/(DeltaV//V)`
`P = B(DeltaV)/(V) = 2100 xx 10^(6) xx1xx10^(-3) = 21 xx 10^(5) Pa = 2100 xx 10^(3) Pa = 2100 kPa`