Question

How much should the pressure on a litre of water be changed to compress it by 0.10%? carry one quarter of the load.

Answer 1

Volume of water, $V$= $1 \,L$
It is given that water is to be compressed by $0.10$ %.

$\therefore$ Fractional change, $\frac{\triangle V }{ V }$

= $\frac{0.1 }{ 100 \times 1}$ = $10 - 3$

Bulk modulus, $B$ = $\frac{p }{ \frac{\triangle V }{ V}}$
$P$ = $B × \frac{\triangle V }{ V}$
Bulk modulus of water, $B$ = $2.2 × 10^ 9 \,Nm^{ -2}$
$p$ = $2.2 × 10^ 9 × 10^{ - 3}$
= $2.2 × 10^ 6 \,Nm^{ - 2}$

Therefore, the pressure on water should be $2.2 × 10^ 6 \,Nm^{ - 2}$.