Physics: Principles with Applications (7th Edition)

Published by Pearson
ISBN 10: 0-32162-592-7
ISBN 13: 978-0-32162-592-2

Chapter 15 - The Laws of Thermodynamics - Problems - Page 439: 25

Answer

$1.7\times10^{13}J/h$.

Work Step by Step

Find the maximum/Carnot efficiency using equation 15–5. Temperatures are in kelvins. $$e=1-\frac{T_L}{T_H}=1-\frac{330+273}{660+273}=0.3537$$ Electric energy is generated at a rate of 1.4 GW, with an operating efficiency of 0.65. Find the total power P generated. $$1.4GW=P(0.3537)(0.65)$$ $$P=6.089GW$$ Heat is therefore exhausted at a rate of 6.089GW – 1.4 GW = 4.689 GW. Convert to find the exhaust heat discharged per hour. $$(4.689\times10^9 J/s)(3600s/h)\approx1.7\times10^{13}J/h$$.
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