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PRACTICE / Elastic moduli

Compressing a liquid slightly

A liquid of bulk modulus 2 × 10⁹ Pa experiences a pressure increase of 4 × 10⁶ Pa.

Find the magnitude of its fractional volume decrease.

Organize the givens & assumptions
  • K = 2×10⁹ Pa
  • Δp = 4×10⁶ Pa

Small uniform compression; constant bulk modulus; requested quantity is the magnitude of fractional volume decrease.

  1. A0.20.2
  2. B−0.002-0.002
  3. C0.0020.002
  4. D500500

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