Question

A sample of a liquid has an initial volume of $1.5L$. The volume is reduced by $0.2mL,$ when the pressure increases by $140kPa$. What is the bulk modulus of the liquid.

• A. $1.05\times {10}^9$ Pa
• B. $1.05\times {10}^5$ Pa
• C. $3.05\times {10}^9$ Pa
• D. $3.05\times {10}^5$ Pa

Answer 1

The correct option is A $1.05\times {10}^9$ Pa

bulk modulus of elasticity,
$B=\frac{-\Delta P}{\Delta V/V}$
$B=\frac{-1.5\times 140\times {10}^3}{-0.2\times {10}^{-3}}$
$B=1.05\times {10}^{9}Pa$