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 - 12-2 Structures and Formulas of Ionic Solids - Review & Check for Section 12-2 - Page 449: 2



Work Step by Step

In a lattice there are $8\times 1/8$ C atoms in the vertexes and $6\times 1/2$ in each face, so 4 carbon atoms and 4 silicon atoms in the middle of the cell (from the figure). Mass: $4\times (12.011+28.085)\ g/mol\div 6.022\times 10^{23}\ atoms/mol=2.663\times10^{-22}\ g/cell$ Volume: $(436.0\times 10^{-10}\ cm)^3=8.288\times10^{-23}\ cm^3/cell$ Density: $2.663\times10^{-22}\ g/cell\div 8.288\times10^{-23}\ cm^3/cell=3.21\ g/cm^3$
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