# A deep ocean is the name given to an ocean area with a depth of more than 5,490 metrs. The density of sea water is 1020 kg/m^3. What is the minimum water pressure in a deep ocean? Show your...

A deep ocean is the name given to an ocean area with a depth of more than 5,490 metrs. The density of sea water is 1020 kg/m^3. What is the minimum water pressure in a deep ocean? Show your calculations.

llltkl | Student

Pressure at any point inside a fluid, in addition to the atmospheric pressure at its surface, is given by:

P=hdg (where, h is the depth of the point from the surface, d, the density of the fluid and g, acceleration due to gravity).

A deep ocean, by definition, has a minimum depth of 5490 meters.

Assuming g remains constant at this depth and plugging in the values,

`P=5490*1020*9.81` Pascals

`= 54934038` Pascals

`=54934038/101325` atm (since 1 atm = 101325 Pa)

`=542.2` atm.

Considering the atmospheric pressure (1 atmosphere at the sea surface), total pressure at this depth of ocean will be =(542.2+1) =543.2 atm.

Thus, the minimum pressure at the basin of a deep ocean is 543.2 atmospheres.