Chemistry & Chemical Reactivity
9th Edition
ISBN: 9781133949640
Author: John C. Kotz, Paul M. Treichel, John Townsend, David Treichel
Publisher: Cengage Learning
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Textbook Question
Chapter 12, Problem 67SCQ
Phase diagrams for materials that have allotropes can be more complicated than those shown in the chapter. Use the phase diagram for carbon given here to answer the following questions.
- (a) How many triple points are present and what phases are in equilibrium for each?
- (b) Is there a single point where all four phases are in equilibrium?
- (c) Which is more stable at high pressures, diamond or graphite?
- (d) Which is the stable phase of carbon at room temperature and 1 atmosphere pressure?
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18. Copper crystallizes into a face-centered cubic crystal structure. (a) How many copper atoms are there in
one unit cell of copper crystal? (b) If the density of copper is 8.96 g/cm³, what is the edge-length of the
unit cell in pm? (c) Calculate the atomic radius of copper in pm. (1 u = 1.6605 x 10-24 g; 1 pm = 10-10 cm)
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3
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.
6. A compound consists of A-atoms and B-atoms, and its solid crystal forms a cubic unit cell structure, as shown below.
A-atoms occupy corners and faces of the cube. B-atoms are inside the cube and are not shared by adjacent cubic unit
cells. Based on the information here, we can conclude that
(a) A-atoms form an FCC structure; the empirical formula of the compound is A,B2.
(b) A-atoms form an FCC structure; the empirical formula of the compound is AB.
(c) A-atoms form a BCC structure; the empirical formula of the compound is A¬B2.
(d) A-atoms form a BCC structure; the empirical formula of the compound is AB.
(e) None of the above.
A-atoms
(corners and faces)
B-atoms
(inside, not
shared)
a m n T OF THE FL EMENTS
Chapter 12 Solutions
Chemistry & Chemical Reactivity
Ch. 12.1 - (a) Determining an Atom Radius from Lattice...Ch. 12.1 - Prob. 1RCCh. 12.1 - Prob. 2RCCh. 12.2 - If an ionic solid has an fcc lattice of anions (X)...Ch. 12.2 - Potassium chloride has the same unit cell as NaCl....Ch. 12.2 - 1. The unit cell of silicon carbide. SiC is...Ch. 12.2 - If one edge of the silicon carbide unit cell is...Ch. 12.2 - Prob. 1QCh. 12.2 - Describe the unit cell of lithium (see Figure).Ch. 12.2 - Prob. 3Q
Ch. 12.2 - Prob. 4QCh. 12.3 - Prob. 1RCCh. 12.3 - Prob. 2RCCh. 12.3 - Prob. 3RCCh. 12.4 - Prob. 1RCCh. 12.5 - Prob. 1QCh. 12.5 - Prob. 2QCh. 12.5 - Prob. 3QCh. 12.5 - 1. Which of the following allotropes of carbon is...Ch. 12.5 - Prob. 2RCCh. 12.6 - Prob. 1RCCh. 12.6 - Suppose you wanted to cool 100. g of water from 20...Ch. 12.7 - Prob. 1RCCh. 12.7 - How many tin atoms are contained in the tetragonal...Ch. 12.7 - Prob. 2QCh. 12.7 - Prob. 3QCh. 12.7 - Prob. 4QCh. 12 - Outline a two-dimensional unit cell for the...Ch. 12 - Outline a two-dimensional unit cell for the...Ch. 12 - Prob. 3PSCh. 12 - Rutile, TiO2, crystallizes in a structure...Ch. 12 - Cuprite is a semiconductor. Oxide ions are at the...Ch. 12 - The mineral fluorite, which is composed of calcium...Ch. 12 - Calcium metal crystallizes in a face-centered...Ch. 12 - The density of copper metal is 8.95 g/cm3. If the...Ch. 12 - Potassium iodide has a face-centered cubic unit...Ch. 12 - A unit cell of cesium chloride is illustrated in...Ch. 12 - Predict the trend in lattice energy, from least...Ch. 12 - Prob. 12PSCh. 12 - To melt an ionic solid, energy must be supplied to...Ch. 12 - Which compound in each of the following pairs...Ch. 12 - Prob. 15PSCh. 12 - Prob. 16PSCh. 12 - Considering only the molecular orbitals formed by...Ch. 12 - Prob. 18PSCh. 12 - Prob. 19PSCh. 12 - Prob. 20PSCh. 12 - Prob. 21PSCh. 12 - Prob. 22PSCh. 12 - Prob. 23PSCh. 12 - Prob. 24PSCh. 12 - A diamond unit cell is shown here. Unit cell of...Ch. 12 - The structure of graphite is given in Figure...Ch. 12 - We have identified six types of solids (metallic,...Ch. 12 - Prob. 28PSCh. 12 - Classify each of the following materials as...Ch. 12 - Prob. 30PSCh. 12 - Benzene, C6H6, is an organic liquid that freezes...Ch. 12 - The specific heat capacity of silver is 0.235 J/g ...Ch. 12 - Prob. 33PSCh. 12 - Prob. 34PSCh. 12 - Prob. 35PSCh. 12 - If your air conditioner is more than several years...Ch. 12 - Sketch a phase diagram for O2 from the following...Ch. 12 - Tungsten crystallizes in the unit cell shown here....Ch. 12 - Silver crystallizes in a face-centered cubic unit...Ch. 12 - The unit cell shown here is for calcium carbide....Ch. 12 - The very dense metal iridium has a face-centered...Ch. 12 - Vanadium metal has a density of 6.11 g/cm3....Ch. 12 - Prob. 43GQCh. 12 - Prob. 44GQCh. 12 - Prob. 45GQCh. 12 - Consider the three types of cubic units cells. (a)...Ch. 12 - The solid-state structure of silicon is shown...Ch. 12 - The solid-state structure of silicon carbide is...Ch. 12 - Spinels are solids with the general formula AB2O4...Ch. 12 - Using the thermochemical data below and an...Ch. 12 - Prob. 51GQCh. 12 - Prob. 52GQCh. 12 - Prob. 53GQCh. 12 - Prob. 54GQCh. 12 - Prob. 55GQCh. 12 - Prob. 56GQCh. 12 - Like ZnS, lead(II) sulfide, PbS (commonly called...Ch. 12 - CaTiO3, a perovskite, has the structure below. (a)...Ch. 12 - Potassium bromide has the same lattice structure...Ch. 12 - Calculate the lattice energy of CaCl2 using a...Ch. 12 - Why is it not possible for a salt with the formula...Ch. 12 - Prob. 63SCQCh. 12 - Prob. 64SCQCh. 12 - Prob. 65SCQCh. 12 - Phase diagrams for materials that have allotropes...
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