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: 29

Answer

$420^{\circ} C$.

Work Step by Step

The maximum efficiency (Carnot efficiency) is given by equation 15–5. Make sure to measure temperatures in kelvins. The efficiency is also $W/Q_H$. Equate these two expressions and solve for the exhaust temperature. $$e_{ideal}=1-\frac{T_L}{T_H}=\frac{W}{Q_H}$$ $$T_L=T_H(1-\frac{W}{Q_H})= T_H(1-\frac{W/t}{Q_H/t}) $$ $$ = (520+273K)(1-\frac{5.2\times10^5\;J/s}{(950kcal/s)(4186J/kcal)})=689K\approx 420^{\circ} C $$
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