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 × 109 N m-2.
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