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# Estimate the change in the density of water in ocean at a depth of 400 m below the surface. The density of water at the surface 1030 kg m^{-3} and the bulk modulus of water = 2 × 10^{9} N m^{-2}.

Answer :

2 kg m^{-3}

Given, density at surface,

bulk modulus of water,

Depth of water,

Pressure at this depth,

The bulk strain at depth h is

Now, density at depth h is

Here, V’ is compressed volume at depth h and is given by

Hence, change in density is

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Estimate the change in the density of water in ocean at a depth of 400 m below the surface. The density of water at the surface 1030 kg m^{-3} and the bulk modulus of water = 2 × 10^{9} N m^{-2}.

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