Fundamentals of Physics Extended (10th Edition)

Published by Wiley
ISBN 10: 1-11823-072-8
ISBN 13: 978-1-11823-072-5

Chapter 14 - Fluids - Problems - Page 407: 13

Answer

Hydrostatic pressure $=1.08\times10^{3}$ $atm$

Work Step by Step

Hydrostatic pressure at height $h$ below the surface of a liquid with density $\rho$ is given by: $Hydrostatic$ $pressure=\rho g h$ Substituting the known values and solving the equation gives: $Hydrostatic$ $pressure=1024$ $kg/m^{3}\times9.8$ $m/s^{2}\times (10.9\times10^{3}$ $m)$ $Hydrostatic$ $pressure\approx1.093\times10^{8}$ $Pa$ $Hydrostatic$ $pressure$ (in atmospheres) $ \approx \frac{1.093\times10^{8}Pa}{1atm}\approx \frac{1.093\times10^{8}Pa}{1.01\times10^{5}} \approx 1083$ $atm$ [as $ 1$ $atm=1.01\times10^{5}Pa$] Therefore; $Hydrostatic$ $pressure\approx 1.08\times10^{3}$ $atm$
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