Question

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

• A. $2100kPa$
• B. $210kPa$
• C. $2100MPa$
• D. $210MPa$

Answer 1

The correct option is A $2100kPa$

Heres, $V=1litre={10}^{-3}{m}^{-3},B=2100MPa=2100\times {10}^{6}Pa$
Volume strain $=\frac{\Delta V}{V}=\frac{0.1}{100}=1\times {10}^{-3}$
Bulk modulus, $B=\frac{P}{\Delta V/V}$
$P=B\frac{\Delta V}{V}=21002100\times {10}^6\times 1\times {10}^{-3}=21\times {10}^{5}Pa=2100\times {10}^{3}Pa=2100kPa$