The bulk modulus (\( K \)) is calculated using:
\( K = \frac{\Delta P}{\Delta V / V} \)
Substituting \( \Delta P = 500 \, \text{kPa}, \, V = 2 \, \text{m}^3, \) and \( \Delta V = 0.004 \, \text{m}^3 \), we find:
\( K = \frac{500}{0.004 / 2} = 25 \, \text{MPa}. \)