Physics (10th Edition)

Published by Wiley
ISBN 10: 1118486897
ISBN 13: 978-1-11848-689-4

Chapter 14 - The Ideal Gas Law and Kinetic Theory - Problems - Page 386: 58

Answer

745.4 K

Work Step by Step

Here we use equation 14.6 $\frac{1}{2}mv_{rms}^{2}=\frac{3}{2}kT$ to find the temperature of the carbon dioxide. $\frac{1}{2}mv_{rms}^{2}=\frac{3}{2}kT=>T=\frac{mv_{rms}^{2}}{3k}$ Let's plug known values into this equation. $T=\frac{44\space u(\frac{1.66\times10^{-27}kg}{1\space u})(650\space m/s)^{2}}{3(1.38\times10^{-23}J/K)}=745.4\space k$
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