Physics: Principles with Applications (7th Edition)

Published by Pearson
ISBN 10: 0-32162-592-7
ISBN 13: 978-0-32162-592-2

Chapter 13 - Temperature and Kinetic Theory - Problems - Page 387: 40

Answer

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Work Step by Step

a. Find the volume of the oceans by treating them like a thin spherical shell. $$V=0.754\pi R^2_{Earth}(depth)=(0.75)(4\pi)(6.38\times10^6m)^2(3000m)=1.15\times10^{18}m^3$$ Assume that seawater’s density is $1025\frac{kg}{m^3}$. $$(1.15\times10^{18}m^3) 1025\frac{kg}{m^3}(\frac{mol}{0.018kg})\approx 7\times10^{22}moles$$ b. Now approximate the number of water molecules. $$(6.55\times10^{22}moles) \frac{6.02\times10^{23}molecules}{mole}\approx4\times10^{46}molecules$$
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