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 385: 42

Answer

100000 homes

Work Step by Step

We can write, $U=\frac{5}{2}nRT=\frac{5}{2}PV$ for the air. Let's plug known values into this equation. $U=\frac{5(7.7\times10^{6}Pa)(5.6\times10^{5})}{2}=107.8\times10^{11}J$ Let's find the energy consumed per day by one house in joules. $30\space kWh=(30000\frac{J\space h}{s})(\frac{3600\space s}{1\space h})=1.08\times10^{8}J$ Number of homes = $107.8\times10^{11}J(\frac{1\space home}{1.08\times10^{8}J})=100000\space homes$
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