Question 1

In a face-centered cubic (FCC) unit cell, what fraction of an atom located at a corner of the cube belongs to a single unit cell?

Accepted Answer

$$\frac{1}{8}$$

Question 2

How many atoms are effectively contained in a body-centered cubic (BCC) unit cell?

Accepted Answer

$$2$$

Question 3

Given a simple cubic unit cell with edge length $$l$$, what is the expression for its volume?

Accepted Answer

$$V = l^3$

Question 4

In a face-centered cubic (FCC) unit cell, what is the relationship between the edge length $$l$$ and the atomic radius $$r$$?

Accepted Answer

$$l = \frac{4r}{\sqrt{2}}$$

Question 5

A metal crystallizes in a body-centered cubic (BCC) structure. If the atomic radius is $$r$$, what is the expression for the edge length $$l of $$the unit cell?

Accepted Answer

$$l = \frac{4r}{\sqrt{3}}$$

Question 6

Polonium crystallizes in a simple cubic structure and has a density of $$9.3\ \mathrm{g/cm^3$}. If $$the molar mass of polonium is $$209\ \mathrm{g/mol}$$, what is the radius of a polonium atom in pm? (Avogadro's number $$= 6.022 	imes 10$$^{23}$$\ \mathrm{$$mol^{-1}$$})$$

Accepted Answer

$$r \approx 176\ \mathrm{pm}$$

Question 7

Which of the following solids is best classified as an atomic solid?

Accepted Answer

Ni(s)

Question 8

A metal has a face-centered cubic (FCC) lattice, an atomic radius of $$0.134\ \mathrm{nm}$$, and a density of $$12.3\ \mathrm{g/cm^3$}. $$What is its atomic mass? (Avogadro's number $$= 6.022 	imes 10$$^{23}$$\ \mathrm{$$mol^{-1}$$})$$

Accepted Answer

$$107\ \mathrm{g/mol}$$

Question 9

Which of the following best describes the bonding in solid CO$$_2 ($$dry ice)?

Accepted Answer

Molecular solid

Question 10

If a solid is described as having a body-centered cubic (BCC) structure, which of the following is true?

Accepted Answer

Each corner atom is shared by 8 unit cells.

Question 11

Given the structure of ZnS (zinc blende), what is the empirical formula of the compound?

Accepted Answer

ZnS

Question 12

Which of the following statements about the face-centered cubic (FCC) unit cell is correct?

Accepted Answer

Each face atom is shared by 2 unit cells.

Question 13

A sample of molybdenum crystallizes in a body-centered cubic (BCC) structure with an atomic radius of $$136\ \mathrm{pm}. $$What is the edge length of the unit cell in pm?

Accepted Answer

$$l = 314\ \mathrm{pm}$$

Question 14

Which of the following best describes the solid structure of CaCl$$_2$$?

Accepted Answer

Ionic solid

Question 15

In a body-centered cubic (BCC) unit cell, what fraction of the atom at the center of the cube belongs to the unit cell?

Accepted Answer

$$1$$

Question 16

Which of the following is a real-world application of knowing the density and atomic radius of a metal?

Accepted Answer

Calculating the atomic mass of the metal

Question 17

Which of the following best describes the bonding in solid I$$_2$$?

Accepted Answer

Molecular solid

Question 18

If you are told a solid is molybdenum and it crystallizes in a BCC structure, which of the following is implied?

Accepted Answer

The edge length can be calculated from the atomic radius.

Question 19

Which of the following best describes the solid structure of H$$_2O ($$ice)?

Accepted Answer

Molecular solid

Study Guide: Cubic Unit Cells and Solid-State Chemistry

Study Guide - Practice Questions

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