University Physics with Modern Physics (14th Edition)

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

Chapter 17 - Temperature and Heat - Problems - Exercises - Page 574: 17.6

Answer

$a.\quad 127^{\mathrm{o}}\mathrm{C},\ 260^{\mathrm{o}}\mathrm{F}$ $b.\quad -178^{\mathrm{o}}\mathrm{C}$ , $ -289^{\mathrm{o}} \mathrm{F}$ $c.\quad 1.55\times 10^{7}\ {}^{\mathrm{o}}\mathrm{C},\ 2.79\times 10^{7} \ {}^{\mathrm{o}}\mathrm{F}$

Work Step by Step

Conversion formulas: $\left[\begin{array}{ll} T_{\mathrm{F}}=\frac{9}{5}T_{\mathrm{C}}+32^{\mathrm{o}} & 17-1\\ T_{\mathrm{C}}=\frac{5}{9}(T_{\mathrm{F}}-32^{\mathrm{o}}) & 17-2\\ T_{\mathrm{K}}=T_{\mathrm{C}}+273.15 & 17-3 \end{array}\right]$ $ a.\quad$ Use eq.17-3 $T_{\mathrm{C}}=400-273.15=127^{\mathrm{o}}\mathrm{C}$ then eq. 17-1 $T_{\mathrm{F}}=\displaystyle \frac{5}{9}(126.85)+32=260^{\mathrm{o}}\mathrm{F}$ $b.\quad $ $T_{\mathrm{C}}=95-273.15=-178^{\mathrm{o}}\mathrm{C}$ $T_{\mathrm{F}}=\displaystyle \frac{5}{9}(-178.15)+32=-289^{\mathrm{o}}\mathrm{F} $ $ c.\quad$ $T_{\mathrm{C}}=1.55\times 10^{7}-273.15=1.55\times 10^{7}\ {}^{\mathrm{o}}\mathrm{C}$ $T_{\mathrm{F}}=\displaystyle \frac{9}{5}(1.55\times 10^{7})+32=2.79\times 10^{7}\ {}^{\mathrm{o}}\mathrm{F}$
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