Chemistry: An Atoms First Approach
2nd Edition
ISBN: 9781305079243
Author: Steven S. Zumdahl, Susan A. Zumdahl
Publisher: Cengage Learning
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Chapter 9, Problem 15Q
Atoms are assumed to touch in closest packed structures, yet every closest packed unit cell contains a significant amount of empty space. Why?
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Chapter 9 Solutions
Chemistry: An Atoms First Approach
Ch. 9 - What are intermolecular forces? How do they differ...Ch. 9 - Define the following terms and describe how each...Ch. 9 - Compare and contrast solids, liquids, and gases.Ch. 9 - Prob. 4RQCh. 9 - What is a lattice? What is a unit cell? Describe a...Ch. 9 - What is closest packing? What is the difference...Ch. 9 - Describe, in general, the structures of ionic...Ch. 9 - Prob. 9RQCh. 9 - Prob. 10RQCh. 9 - Compare and contrast the phase diagrams of water...
Ch. 9 - It is possible to balance a paper clip on the...Ch. 9 - Prob. 2ALQCh. 9 - Prob. 3ALQCh. 9 - Prob. 4ALQCh. 9 - Prob. 5ALQCh. 9 - Prob. 6ALQCh. 9 - Prob. 7ALQCh. 9 - Prob. 8ALQCh. 9 - Prob. 9ALQCh. 9 - Prob. 10ALQCh. 9 - Prob. 11ALQCh. 9 - Prob. 12QCh. 9 - In the diagram below, which lines represent the...Ch. 9 - Prob. 14QCh. 9 - Atoms are assumed to touch in closest packed...Ch. 9 - Define critical temperature and critical pressure....Ch. 9 - Prob. 17QCh. 9 - Prob. 18QCh. 9 - Prob. 19QCh. 9 - Prob. 20QCh. 9 - Prob. 21QCh. 9 - A common response to hearing that the temperature...Ch. 9 - Prob. 23QCh. 9 - Prob. 24QCh. 9 - When wet laundry is hung on a clothesline on a...Ch. 9 - Cake mixes and other packaged foods that require...Ch. 9 - You have three covalent compounds with three very...Ch. 9 - Prob. 28QCh. 9 - Compare and contrast the structures of the...Ch. 9 - Prob. 30QCh. 9 - How could you tell experimentally if TiO2 is an...Ch. 9 - A common prank on college campuses is to switch...Ch. 9 - A plot of In (Pvap) versus 1/T (K) is linear with...Ch. 9 - Prob. 34QCh. 9 - Identify the most important types of interparticle...Ch. 9 - Prob. 36ECh. 9 - Predict which substance in each of the following...Ch. 9 - Consider the compounds CI2, HCI. F2, NaF, and HF....Ch. 9 - Prob. 39ECh. 9 - Consider the following electrostatic potential...Ch. 9 - In each of the following groups of substances,...Ch. 9 - Prob. 42ECh. 9 - The shape of the meniscus of water in a glass tube...Ch. 9 - Prob. 44ECh. 9 - Prob. 45ECh. 9 - Prob. 46ECh. 9 - X rays from a copper X-ray tube ( = 154 pm) were...Ch. 9 - The second-order diffraction (n = 2) for a gold...Ch. 9 - A topaz crystal has an interplanar spacing (d) of...Ch. 9 - X rays of wavelength 2.63 were used to analyze a...Ch. 9 - Prob. 51ECh. 9 - Prob. 52ECh. 9 - Prob. 53ECh. 9 - Iridium (Ir) has a face-centered cubic unit cell...Ch. 9 - You are given a small bar of an unknown metal X....Ch. 9 - A metallic solid with atoms in a face-centered...Ch. 9 - Titanium metal has a body-centered cubic unit...Ch. 9 - Barium has a body-centered cubic structure. If the...Ch. 9 - The radius of gold is 144 pm, and the density is...Ch. 9 - The radius of tungsten is 137 pm and the density...Ch. 9 - What fraction of the total volume of a cubic...Ch. 9 - Iron has a density of 7.86 g/cm3 and crystallizes...Ch. 9 - Prob. 63ECh. 9 - Prob. 64ECh. 9 - Selenium is a semiconductor used in photocopying...Ch. 9 - Prob. 66ECh. 9 - Prob. 67ECh. 9 - Prob. 68ECh. 9 - The structures of some common crystalline...Ch. 9 - The unit cell for nickel arsenide is shown below....Ch. 9 - Cobalt fluoride crystallizes in a closest packed...Ch. 9 - The compounds Na2O, CdS, and ZrI4. all can be...Ch. 9 - What is the formula for the compound that...Ch. 9 - Prob. 74ECh. 9 - A certain metal fluoride crystallizes in such a...Ch. 9 - The structure of manganese fluoride can be...Ch. 9 - The unit cell of MgO is shown below l Does MgO...Ch. 9 - In solid KCl the smallest distance between the...Ch. 9 - The CsCl structure is a simple cubic array of...Ch. 9 - MnO has either the NaCI type structure or the CsCI...Ch. 9 - Prob. 81ECh. 9 - What type of solid will each of the following...Ch. 9 - The memory metal, nitinol, is an alloy of nickel...Ch. 9 - Superalloys have been made of nickel and aluminum....Ch. 9 - Perovskite is a mineral containing calcium,...Ch. 9 - A mineral crystallizes in a cubic closest packed...Ch. 9 - Materials containing the elements Y, Ba, Cu, and O...Ch. 9 - The structures of another class of ceramic,...Ch. 9 - Plot the following data and determine Hvap for...Ch. 9 - From the following data for liquid nitric acid,...Ch. 9 - Prob. 91ECh. 9 - Prob. 92ECh. 9 - Prob. 93ECh. 9 - Diethyl ether (CH3CH2OCH2CH3) was one of the first...Ch. 9 - A substance, X, has the following properties:...Ch. 9 - Use the heating-cooling curve below to answer the...Ch. 9 - The molar heat of fusion of sodium metal is 2.60...Ch. 9 - Prob. 98ECh. 9 - What quantity of energy does it take to convert...Ch. 9 - Consider a 75.0-g sample of H2O(g) at 125C. What...Ch. 9 - An ice cube tray contains enough water at 22.0C to...Ch. 9 - A 0.250-g chunk of sodium metal is cautiously...Ch. 9 - Prob. 103ECh. 9 - Prob. 104ECh. 9 - Prob. 105ECh. 9 - Prob. 106ECh. 9 - Prob. 107ECh. 9 - Consider the following data for xenon: Triple...Ch. 9 - Some of the physical properties of H2O and D2O are...Ch. 9 - Rationalize the following boiling points:Ch. 9 - Prob. 111AECh. 9 - Consider the following enthalpy changes:...Ch. 9 - Prob. 113AECh. 9 - Boron nitride (BN) exists in two forms. The first...Ch. 9 - Prob. 115AECh. 9 - Argon has a cubic closest packed structure as a...Ch. 9 - Prob. 117AECh. 9 - A 20.0-g sample of ice at 10.0C is mixed with...Ch. 9 - In regions with dry climates, evaporative coolers...Ch. 9 - The critical point of NH3 is 132C and 111 atm, and...Ch. 9 - Which of the following compound(s) exhibit only...Ch. 9 - Which of the following statements about...Ch. 9 - Prob. 123CWPCh. 9 - Aluminum has an atomic radius of 143 pm and forms...Ch. 9 - Pyrolusite is a mineral containing manganese ions...Ch. 9 - The structure of the compound K2O is best...Ch. 9 - Prob. 127CWPCh. 9 - Some ice cubes at 0c with a total mass of 403 g...Ch. 9 - The enthalpy of vaporization for acetone is 32.0...Ch. 9 - Prob. 130CWPCh. 9 - When I mole of benzene is vaporized at a constant...Ch. 9 - Prob. 132CPCh. 9 - Using the heats of fusion and vaporization for...Ch. 9 - Prob. 134CPCh. 9 - Consider two different organic compounds, each...Ch. 9 - Prob. 136CPCh. 9 - Prob. 137CPCh. 9 - Prob. 138CPCh. 9 - Prob. 139CPCh. 9 - Prob. 140CPCh. 9 - Mn crystallizes in the same type of cubic unit...Ch. 9 - Prob. 142CPCh. 9 - Some water is placed in a sealed glass container...Ch. 9 - The molar enthalpy of vaporization of water at 373...Ch. 9 - Prob. 145CPCh. 9 - Rubidium chloride has the sodium chloride...Ch. 9 - Prob. 147IPCh. 9 - A metal burns in air at 600c under high pressure...Ch. 9 - Prob. 149IPCh. 9 - General Zod has sold Lex Luthor what Zod claims to...
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- Silicon carbide, SiC, is a very hard, high-melting solid. What kind of crystal forces account for these properties?arrow_forwardThe CsCl structure is a simple cubic array of chloride ions with a cesium ion at the center of each cubic array (see Exercise 69). Given that the density of cesium chloride is 3.97 g/cm3, and assuming that the chloride and cesium ions touch along the body diagonal of the cubic unit cell, calculate the distance between the centers of adjacent Cs+ and Cl ions in the solid. Compare this value with the expected distance based on the sizes of the ions. The ionic radius of Cs+ is 169 pm, and the ionic radius of Cl is 181 pm.arrow_forwardConsider the three types of cubic units cells. (a) Assuming that the spherical atoms or ions in a primitive cubic unit cell just touch along the cubes edges, calculate the percentage of occupied space within the unit cell. (Recall that the volume of a sphere is (4/3)r3, where r is the radius of the sphere.) (b) Compare the percentage of occupied space in the primitive cell (pc) with the bcc and fcc unit cells. Based on this, will a metal in these three forms have the same or different densities? If different, in which is it most dense? In which is it least dense?arrow_forward
- MnO has either the NaCI type structure or the CsCI type structure (see Exercise 69). The edge length of the MnO unit cell is 4.47 10-8 cm and the density of MnO is 5.28 g/cm3. a. Does MnO crystallize in the NaCl or the CsCl type structure? b. Assuming that the ionic radius of oxygen is 140. pm, estimate the ionic radius of manganese.arrow_forwardCalculate the percent of volume that is actually occupied by spheres in a body-centered cubic lattice of identical spheres You can do this by first relating the radius of a sphere, r, to the length of an edge of a unit cell, l. (Note that the spheres do not touch along an edge but do touch along a diagonal passing through the body-centered sphere.) Then calculate the volume of a unit cell in terms of r. The volume occupied by spheres equals the number of spheres per unit cell times the volume of a sphere (4r3/3).arrow_forwardSpinel is a mineral that contains 37.9% aluminum, 17.1% magnesium, and 45.0% oxygen, by mass, and has a density of 3.57 g/cm3.The edge of the cubic unit cell measures 809 pm. How many of each type of ion are present in the unit cell?arrow_forward
- Describe the unit cell of lithium (see Figure).arrow_forwardLithium hydride (LiH) has the sodium chloride structure, and the length of the edge of the unit cell is 4.086 108 cm. Calculate the density of this solid.arrow_forwardThe unit cell of silicon carbide, SiC, is illustrated below. (a) In what type of unit cell are the (dark gray) C atoms arranged? (b) If one edge of the silicon carbide unit cell is 436.0 pm, what is the calculated density of this compound? A portion of the solid-state structure of silicon carbide.arrow_forward
- Calculate the percent of volume that is actually occupied by spheres in a face-centered cubic lattice of identical spheres. You can do this by first relating the radius of a sphere, r, to the length of an edge of a unit cell, l. (Note that the spheres do not touch along an edge but do touch along the diagonal of a face.) Then calculate the volume of a unit cell in terms of r. The volume occupied by spheres equals the number of spheres per unit cell times the volume of a sphere (4r3/3).arrow_forward(a) Determining an Atom Radius from Lattice Dimensions: Gold has a face-centered unit cell, and its density is 19.32 g/cm3. Calculate the radius of a gold atom. (b) The Structure of Solid Iron: Iron has a density of 7.8740 g/cm3, and the radius of an iron atom is 126 pm. Verify that solid iron has a body-centered cubic unit cell. (Be sure to note that the atoms in a body-centered cubic unit cell touch along the diagonal across the cell. They do not touch along the edges of the cell.) (Hint: The diagonal distance across the unit cell = edge 3.)arrow_forwardOutline a two-dimensional unit cell for the pattern shown here. If the black squares are labeled A and the white squares are B, what is the simplest formula for a compound based on this pattern?arrow_forward
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