Essential University Physics: Volume 1 (4th Edition)

Published by Pearson
ISBN 10: 0-134-98855-8
ISBN 13: 978-0-13498-855-9

Chapter 1 - Exercises and Problems - Page 13: 67

Answer

House generated more electrical energy than it consumed

Work Step by Step

Given that, Total energy generated by solar panels = 3849 kWh We know, 1 kWh = 3.6 MJ. So we can multiply 3849 by 3.6 MJ/kWh to convert the value into J as follows. Total energy generated by solar panels $= 3849\space kWh\times\frac{3.6\space MJ}{kWh}$ $\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space= 13856.4\space MJ\space-(1)$ Total time taken to produce the energy = 1 year We know, 1 year $=365\times24\times3600\space s= 31536\times10^{3}\space s\space -(2)$ $(1)\div(2)=\gt$ Average rate of solar power generation(P) $=\frac{13856.4\space MJ}{31536\times10^{3}\space s}$ $\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space P\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space=\frac{13856.4\times10^{6}}{31536\times10^{3}}\space J/s$ $\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space P\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space=$ 439 W $P\gt392\space W$ Therefore, the house generated more electrical energy than it consumed.
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