University Physics with Modern Physics (14th Edition)

Published by Pearson
ISBN 10: 0321973615
ISBN 13: 978-0-32197-361-0

Chapter 17 - Temperature and Heat - Problems - Exercises - Page 575: 17.18

Answer

$0.01995 \hspace{1mm}m^3$

Work Step by Step

The coefficient of volume expansion of ethanol is $75\times10^{-5} \hspace{2mm} {}^oC^{-1}=\beta$. Change in volume is $\Delta V$. Change in temperature $=(18-32) \hspace{1mm}{}^0C=-14\hspace{1mm}{}^0C=\Delta T$ Initial volume $=1.90 \hspace{1mm}m^3=V_0$ We know, $\Delta V=V_0\beta \Delta T$. Putting the values we get, $\Delta V=-0.01995 \hspace{1mm}m^3$. The volume of ethanol decreases by $0.01995 \hspace{1mm}m^3$. This much amount of ethanol can be additionally put.
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