The approximate depth of an ocean is 2700 m . The compressibility of water is 45.4 × 10 - 11   P a - 1 and density of water is 10 3   kg/m 3 . What fractional compression of water will be obtained at the bottom of the ocean ?

Step-by-step solution

Pressure at the bottom of the ocean P = ρ g d = 10 3 × 10 × 2700 = 27 × 10 6 P a ∴ Fractional compression = compressibility × pressure = 45.4 × 10 - 11 P a - 1 × 27 × 10 6 P a = 1.2 × 10 - 2