Pressure applied to compressed water sample calculation

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Question

A water sample of volume 1 litre is compressed by 0.05%. If the bulk modulus of water is 2.2 × 109 N/m2, what is the pressure applied?

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1 × 106 N/m2 1.5 × 106 N/m2 2 × 106 N/m2 1.1 × 106 N/m2 Correct

Bulk modulus: B = -p / (ΔV / V). Rearrange: p = -B × (ΔV / V). Given: ΔV / V = -0.05% = -0.0005. Substitute: p = 2.2 × 109 × 0.0005 = 1.1 × 106 N/m2.

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