Question

The deepest point in the ocean is 11 km below sea level, deeper than Mt. Everest is tall. What is the pressure in atmospheres at this depth?

Short answer

The pressure at the deepest point in the ocean is 1096 atm

Step-by-step solution

Given information

Deepest point in the ocean is 11 km below sea level

Explanation

Total pressure is calculated by

P_Total = P_atm + hρg ...............................(1)

P_Total = pressure at the bottom =

P_atm = atmospheric pressure = atm

h = depth of liquid = 11 km = 11 x 10³m

ρ= density of liquid =1029 kg/m³

g = gravitational acceleration =9.8 m/s²

Calculate hρg , consider g = 9.8 m/s² and density of sea water is 1029 kg/m³

hρg = 11 x 10³m x 1029 kg/m³ x 9.8 m/s²

hρg = 1.10926 x 10⁸ Pa

Convert into atm pressure $\frac{1.10926x{10}^{8}Pa}{101325Pa}=1094.78atm$

Substitute the value in equation (1)

P_Total = 1 atm + 1094.74 atm = 1095.74 atm= 1096 atm (approx)