Fractional volume change in water under compression

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Question

A water sample of volume 2 litres is compressed by a pressure of 2 × 106 N/m2. If the bulk modulus of water is 2.2 × 109 N/m2, what is the fractional change in volume?

Choose one · Correct answer highlighted

8 × 10-4 1 × 10-3 9.09 × 10-4 Correct 7 × 10-4

Bulk modulus: B = -p / (ΔV / V). Rearrange: ΔV / V = -p / B = -(2 × 106) / (2.2 × 109) ≈ -9.09 × 10-4. Magnitude: 9.09 × 10-4.

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