At room temperature, the edge length of the cubic unit cell in elemental silicon is 5.431 Å, and the density of silicon at the same temperature is 2.328 g cm-3 . Each cubic unit cell contains eight silicon atoms. Using only these facts, perform the following operations.(a) Calculate the volume (in cubic centimeters) of one unit cell.(b) Calculate the mass (in grams) of silicon present in a unit cell.(c) Calculate the mass (in grams) of an atom of silicon.(d) The mass of an atom of silicon is 28.0855 u. Estimate Avogadro’s number to four significant figures.

Chemistry & Chemical Reactivity
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Chapter12: The Solid State
Section: Chapter Questions
Problem 4PS: The unit cell of silicon carbide, SiC, is illustrated below. (a) In what type of unit cell are the...
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At room temperature, the edge length of the cubic unit cell in elemental silicon is 5.431 Å, and the density of silicon at the same temperature is 2.328 g cm-3 . Each cubic unit cell contains eight silicon atoms. Using only these facts, perform the following operations.
(a) Calculate the volume (in cubic centimeters) of one unit cell.
(b) Calculate the mass (in grams) of silicon present in a unit cell.
(c) Calculate the mass (in grams) of an atom of silicon.
(d) The mass of an atom of silicon is 28.0855 u. Estimate Avogadro’s number to four significant figures.

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