The deepest point known in any of earth\'s oceans is in the Marianas Tench, 10.9

Question

The deepest point known in any of earth's oceans is in the Marianas Tench, 10.92 km deep.

a) Assuming water is incompressible, what is the pressure at this depth? Use the density of seawater.

b) The actual pressure is 1.16 X 108 Pa your calculation will be less because the density actually varies with depth. Using the compressibility of water and the actual pressure, find the density of the water at the bottom of the Marianas Trench. What is the percent change in the density of the water?

The answer to a is 1.0712 x 10^8 Pa.
What is b?

Explanation / Answer

P = rho*g*h 1.16x10^8 Pa = rho*9.8 m/s^2 *10.92x10^3 m --------> rho = 1.16x10^8/(9.8*10.92x10^3)= 1084 Kg/m^3 --------->1.08x10^3/1.03x10^3 = 1.048 = 5% change in density.

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