Question

Determine the pressure required to reduce the given volume of water by 2%. Bulk modulus of water is $2.2\times {10}^{4}N{m}^{-2}$

• A. $4.4\times {10}^{7}N{m}^{-2}$
• B. $2.2\times {10}^{7}N{m}^{-2}$
• C. $3.3\times {10}^{7}N{m}^{-2}$
• D. $1.1\times {10}^{7}N{m}^{-2}$

Answer 1

The correct option is A. $4.4\times {10}^{7}N{m}^{-2}$

Bulk modulus (B) is defined as :-

$B=\frac{-P}{△V/V}$

where, $\frac{△V}{V}=-0.02$ or $(-2\%)$

Negative sign shows that the volume is reduced.

$\Rightarrow P=-B\times \frac{\Delta V}{V}=-2.2\times {10}^4\times (-0.02)=4.4\times {10}^{2}atm$

$P=4.4\times {10}^{7}Pa=4.4\times {10}^{7}N{m}^{-2}$

$[\because 1atm={10}^{5}pa]$.