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Chapter 14: Q. 6 (page 384)

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

Expert verified

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

Step by step solution

01

Given information

Deepest point in the ocean is 11 km below sea level

02

Explanation

Total pressure is calculated by

PTotal = Patm + hρg ...............................(1)

PTotal = pressure at the bottom =

Patm = 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 1.10926x108Pa101325Pa=1094.78atm

Substitute the value in equation (1)

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

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