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 388: 67

Answer

a) Less b) $Err_{\%}=-2\times10^{-4}\%$ c) $Err_{\%}=-0.603\%$

Work Step by Step

a) $P_a=P_v+\rho gh$ The pressure shown by the barometer is equal to the sum of the vapor pressure and the pressure exerted by mercury. If we are ignoring the vapor pressure of $0.0015mm-Hg$ the measured value will be slightly smaller than the actual atmospheric pressure. $P_{a m}=P_{aa}-P_v$ $0.0015mmHg\times\frac{133.3Pa}{mmHg}=0.19995Pa$ b) $Err=\frac{P_{aa}-P_v-P_{aa}}{P_{aa}}=\frac{-P_v}{P_{aa}}=\frac{0.19995Pa}{101325Pa}=-2\times10^{-6}$ $Err_{\%}=-2\times10^{-4}\%$ c) $Err_{\%}=-\frac{P_v}{P_{aa}}\times100\%=-\frac{611Pa}{101325Pa}\times100\%=-0.603\%$
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