Essential University Physics: Volume 1 (3rd Edition)

Published by Pearson
ISBN 10: 0321993721
ISBN 13: 978-0-32199-372-4

Chapter 19 - Exercises and Problems: 61

Answer

Please see the work below.

Work Step by Step

We know that $\Delta S=\int ^{T_1}_{{T_{\circ}}}\frac{nC_{\circ}T_{\circ}dt}{T^2}dT$ $=nC_{\circ}T_{\circ}\int ^{T_1}_{{T_{\circ}}}\frac{1}{T^2}dT$ $=nC_{\circ}T_{\circ}\frac{T^{-2+1}}{-2+1}|^{T=T_1}_{T=T_{\circ}}$ $=nC_{\circ}T_{\circ}(\frac{-1}{T_1}+\frac{1}{T_{\circ}})$ $=\frac{nC_{\circ}(T_1-T_{\circ})}{T_1}$
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