a) Explanation Given info: The volume of water at the surface is 1 m 3 . The pressure at the bottom of the pacific is 1.13 × 10 8 N ⋅ m -2 . The bulk modulus of a material is defined by, B = − Δ P ( Δ V V 0 ) Δ P is the change in pressure Δ V is the change in volume V 0 is the initial volume Re-write the above equation to find an expression for the change in volume, Δ V = − Δ P V B (I) The pressure change is the difference between the pressure at surface to the bottom of the pacific. Δ P = P B − P S (II) P B is the pressure at the bottom of the pacific P S the pressure at the surface The pressure at the surface is equal to the atmospheric pressure. Use P B − P S for Δ P in equation (I) to rewrite Δ V . Δ V = − ( P B − P S ) V B Substitute 0 b) To determine The density of water at the bottom. c) To determine When it is a good approximation to think water as incompressible.

10th Edition

ISBN: 9781285737027

Author: Raymond A. Serway, Chris Vuille

Publisher: Cengage Learning

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Chapter 9, Problem 24P

To determine

The change in volume of 1.00 m3 water which is taken from the surface to the bottom of the pacific.

To determine

The density of water at the bottom.

To determine

When it is a good approximation to think water as incompressible.

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Chapter 9, Problem 23P

Chapter 9, Problem 25P

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The change in volume of 1.00 m 3 water which is taken from the surface to the bottom of the pacific.

Solution Summary: The author explains the change in volume of water at the surface to the bottom of the pacific. The bulk modulus of a material is defined by B=-Delta P

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The change in volume of 1.00 m3 water which is taken from the surface to the bottom of the pacific.

The density of water at the bottom.

When it is a good approximation to think water as incompressible.

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Chapter 9 Solutions