Answered: The pressure increases by 1.0 x 104…

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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The pressure increases by 1.0 x 10⁴ N/m² for every meter of depth beneath the surface of the ocean. At what depth does the volume of a Pyrex (bulk modulus 2.6 x 10¹⁰ N/m²) glass cube, 6.8 x 10^-2 m on an edge at the ocean's surface, decrease by 7.5 x 10^-10 m³?

Expert Solution

Step 1

Given:

The increase in pressure is $1.0 \times 10^{4} N / m^{2}$ per meter.

The bulk modulus of Pyrex is $2.6 \times 10^{10} N / m^{2}$ .

The edge of the cube is $6.8 \times 10^{- 2} m$ .

The decrease in volume is $7.5 \times 10^{- 10} m^{3}$ .

Introduction:

The bulk modulus of the material is proportional to the ratio of the change in pressure to the change in volume of the material.

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