Giancoli's Physics: Principles with Applications, 7th Edition

13

Temperature and Kinetic Theory

Change chapter13-1: Atomic Theory

13-2: Temperature and Thermometers

13-4: Thermal Expansion

13-5: Gas Laws; Absolute Temperature

13-6 and 13-7: Ideal Gas Law

13-8: Ideal Gas Law in Terms of Molecules; Avogadro's Number

13-9: Molecular Interpretation of Temperature

13-11: Real Gases; Phase Changes

13-12: Vapor Pressure and Humidity

13-13: Diffusion

Question by Giancoli, Douglas C., Physics: Principles with Applications, 7th Ed., ©2014, Reprinted by permission of Pearson Education Inc., New York.

Problem 15

Q

A

$0.98\%$

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VIDEO TRANSCRIPT

This is Giancoli Answers with Mr. Dychko. Percent change in volume of the sphere is going to be its final volume minus its initial volume divided by the initial volume times 100%. So, the final volume will be the initial volume plus the heat change in volume. And we can see that the *vi's* will make 0 here. And we're left with *Δv* over *vi* times 90%. Now, the change in volume is the coefficient of volume expansion times the initial volume times the change in temperature. So, we'll substitute that in place of *Δv* here. And we can see the *vi’s* cancel here. So, the percent change in volume is the coefficient of volume expansion times the change in temperature times 100%. So, for aluminium a coefficient of volume expansion is 75 times 10 to the minus 6. And multiply that by the final temperature of 160 degrees Celsius minus the initial temperature of 30 degrees Celsius times by 100%. And you get 0.98% will be the change in volume.

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