Physics Technology Update (4th Edition)

Published by Pearson
ISBN 10: 0-32190-308-0
ISBN 13: 978-0-32190-308-2

Chapter 16 - Temperature and Heat - Problems and Conceptual Exercises - Page 571: 89

Answer

(a) decreased (b) $-83C^{\circ}$

Work Step by Step

(a) We know that aluminum has a larger coefficient of thermal expansion as compared to that of the steel, so the temperature of the system should be increased. (b) We know that $\Delta T=\frac{D_{\circ}-L_{\circ}}{\alpha_{st}L_{\circ}-\alpha_{Al}D_{\circ}}$ We plug in the known values to obtain: $\Delta T=\frac{0.100-0.0999}{(1.2\times 10^{-5})(0.0999)-(2.4\times 10^{-5})(0.100)}$ $\Delta T=-83C^{\circ}$
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