Question

Finding the density of water at the deepest point of an ocean using the pressure

The deepest point known in any of the earth's oceans is in the Marianas Trench,
10.92 km deep. The pressure is 1.16 X 108 Pa. Using the compressibility of water and the actual pressure, find the density of the water at the bottom of the MarianasTrench.
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Answer #1

Given,

Depth (h) = 10.92 km

Actual pressure (P) = 1.16 × 108 Pa

Density of seawater = 1.03 × 103 Kg/m3

(a) The pressure at a depth of 10.92 Km, when the water is in compressible.

=

(b) We know that density is inversely proportional to depth. The relation between compressibility and actual pressure is derived as,

=

Fractional change in density,

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