University Physics with Modern Physics (14th Edition)

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

Chapter 19 - The First Law of Thermodynamics - Problems - Exercises - Page 640: 19.10

Answer

$T_f = 390 K$ or $117.4 ^o C$

Work Step by Step

$\Delta U = 1500 J - 2100 J $ $\Delta U = -600 J $ To find the temperature, we use the total internal energy formula and solve for $T_f$ $\Delta U = n (\frac{3}{2} R)( T_f - T_i)$ $T_f = \frac{2\Delta U}{3nR} + T_i$ $T_f = \frac{2(-600 J )}{3(5)(8.314 J/mol.K)} + (127^o C + 273 K)$ $T_f = 390.4 K$ or $117.4 ^o C$
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