Fundamentals of Physics Extended (10th Edition)

Published by Wiley
ISBN 10: 1-11823-072-8
ISBN 13: 978-1-11823-072-5

Chapter 20 - Entropy and the Second Law of Thermodynamics - Problems - Page 604: 11b

Answer

$\Delta S_1=-22.1\frac{J}{K}$

Work Step by Step

We can find entropy change of aluminium as: $\Delta S_1=\int _{Q_i}^{Q_f}\frac{dQ_1}{T}=\int _{Q_i}^{Q_f} \frac{m_1c_1 dT}{T}=m_1c_1ln \frac{T}{T_{i1}}$ We plug in the known values to obtain: $\Delta S_1=0.2(900)\ln \frac{330}{373}=-22.1\frac{J}{K}$
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