Chemistry and Chemical Reactivity (9th Edition)

Published by Cengage Learning
ISBN 10: 1133949649
ISBN 13: 978-1-13394-964-0

Chapter 12 The Solid State - Study Questions - Page 467d: 48


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Work Step by Step

a) Carbon $8\times1/8=1$ in the vertexes, $6\times1/2=3$ in the faces, 4 in total. Silicon: 4 in tetrahedral holes. SiC b) Similarly as in problem 47: The right triangle formed by a half of the tringle: corner C, hole Si and face C, has the C-Si-midpoint angle of 109.5$^{\circ}$/2 and the side opposite to that angle is a quarter of the face diagonal. $sin(109.5^{\circ}/2)=l.\sqrt2/4\div Si-C$ $l=436.1\ pm$ Mass: $4\times(28.085+12.011)\ g/mol\div6.022\times10^{23}=2.663\times10^{-22}\ g$ Volume: $l^3=8.294\times10^{-23}\ cm^3$ Density: $m/V=3.212\ g/cm^3$
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