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: 66

Answer

$RH_{22}=33\%$

Work Step by Step

From the given dew point, we know the partial pressure is the same as the saturated vapor pressure at $5^oC$ $PP_5=SVP_5=872Pa$ $RH_{22}=\frac{PP_{22}}{SVP_{22}}\times100\%$ $SVP_{22}$ is not given, so will can calculate it $SVP_{22}=SVP_{20}+2\frac{SVP_{25}-SVP_{20}}{5}=2666Pa$ $RH_{22}=\frac{872Pa}{2666Pa}\times100\%=33\%$ Even though the volume does change, it has no affect on the relative humidity because the percent of air component to volume will be constant.
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