Question

An increase in pressure required to decreases the $100liters$ volume of a liquid by $0.004$% in container is: (Bulk modulus of the liquid $=2100MPa$):

• A. $188kPa$
• B. $8.4kPa$
• C. $18.8kPa$
• D. $84kPa$

Answer 1

The correct option is D $84kPa$

Bulk modulus $B=\frac{\Delta P}{\frac{\Delta V}{V}}$
$B=2100\times {10}^{6}Pa$

$\Delta P=\frac{B\Delta V}{V}$

$\frac{\Delta P}{V}=\frac{0.004}{100}$

$\frac{\Delta V}{V}=4\times {10}^{-15}$

$\Delta P=2100\times {10}^6\times 4\times {10}^{-5}$

$\Delta P=84000Pa$

$\Delta P=84kPa$