Thermodynamics: An Engineering Approach 8th Edition

Published by McGraw-Hill Education
ISBN 10: 0-07339-817-9
ISBN 13: 978-0-07339-817-4

Chapter 14 - Gas-Vapor Mixtures and Air-Conditioning - Problems - Page 750: 14-26

Answer

They will not get fogged.

Work Step by Step

The vapor pressure $P_v$ of the air in the house is uniform throughout, and its value can be determined from $$ P_v=\phi P_{g @ 25^{\circ \mathrm{C}}}=(0.30)(3.1698 \mathrm{kPa})=0.9509\ \mathrm{kPa} $$ The dew-point temperature of the air in the house is $$ T_{\mathrm{dp}}=T_{\mathrm{sat} @ P_{\mathrm{s}}}=T_{\text {sat } \alpha 0.950 \% \mathrm{pu}}=6.2^{\circ} \mathrm{C} \text { (Table A-5 or EES) } $$ That is, the moisture in the house air will start condensing when the air temperature drops below $6.2^{\circ} \mathrm{C}$. Since the glasses are at a higher temperature than the dew-point temperature, moisture will not condense on the glasses, and thus they will not get fogged.
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