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Q.6

Expert-verified
Found in: Page 384

Physics for Scientists and Engineers: A Strategic Approach with Modern Physics

Book edition 4th
Author(s) Randall D. Knight
Pages 1240 pages
ISBN 9780133942651

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

The pressure is 1096 atm

See the step by step solution

Given information

Deepest point in the ocean is 11 km below sea level

Explanation

Total pressure is calculated by

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

PTotal = pressure at the bottom = 1.3 atm

Patm = atmospheric pressure = atm

h = depth of liquid = 2 m

ρ= density of liquid

g = gravitational acceleration

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 =

Substitute the value in equation (1)

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