Chemistry 10th Edition

Published by Brooks/Cole Publishing Co.
ISBN 10: 1133610668
ISBN 13: 978-1-13361-066-3

Chapter 1 - The Foundations of Chemistry - Exercises - Measurements and Calculations - Page 39: 50

Answer

$514\ m$

Work Step by Step

Calculate the mass of the spool in grams: $m = 10\ lb\cdot \frac{453.92\ g}{1\ lb}=4539.2\ g$ Calculate the volume of the spool: $d = \frac mV$ $V = 4593.2\ g\div 2.70 g/cm^3=1701.2\ cm^3$ Calculate the radius of the wire in cm: $r = \frac d2$ $r = (0.0808\ in\div 2)\cdot \frac{2.54\ cm}{1\ in}=0.103\ cm$ Calculate the length of the spool in meters: $V=\pi r^2\ell$ $\ell=1701.2\ cm^3\div(\pi\cdot (0.103\ cm)^2)\cdot\frac{1\ m}{100\ cm}$ $\ell=514\ m$
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