# Chapter 1 - Matter: Its Properties and Measurement - Exercises - Temperature Scales - Page 28: 42

The equivalent temperatures are, respectively, 47.8 $^{\circ}$C and -8.3 $^{\circ}$C.

#### Work Step by Step

T($^{\circ}$C) = $\frac{5}{9}$ * [T($^{\circ}$F) - 32] T($^{\circ}$C) at 118 $^{\circ}$F: T($^{\circ}$C) = $\frac{5}{9}$ * [118 - 32] T($^{\circ}$C) = $\frac{5}{9}$ * [86] T($^{\circ}$C) = 47.7777778 $^{\circ}$C Rounding to 3 significant figures gives 47.8 $^{\circ}$C T($^{\circ}$C) at 17 $^{\circ}$F: T($^{\circ}$C) = $\frac{5}{9}$ * [17 - 32] T($^{\circ}$C) = $\frac{5}{9}$ * [-15] T($^{\circ}$C) = -8.33333333 $^{\circ}$C Rounding to 2 significant figures gives -8.3 $^{\circ}$C So the equivalent temperatures are, respectively, 47.8 $^{\circ}$C and -8.3 $^{\circ}$C.

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