Test Prep Series for AP Chemistry for Chemistry: The Central Science 14th ed AP
14th Edition
ISBN: 9780134661483
Author: Edward L Waterman
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Concept explainers
Videos
Textbook Question
Chapter 12.3, Problem 12.1.1PE
Consider the two-dimensional square lattice of Figure 12.4. The “packing effiency” for a two-dimensional structure would be the area of the unit cell, times 100%. What is the packing efficiency for a square lattice for atoms of radius a/2 that are centered at the lattice points?
a. 3.14%
b. 15.7%
c. 31.8%
d. 74.0%
e. 74.0%
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Chapter 12 Solutions
Test Prep Series for AP Chemistry for Chemistry: The Central Science 14th ed AP
Ch. 12.3 - Consider the two-dimensional square lattice of...Ch. 12.3 - Prob. 12.1.2PECh. 12.5 - Given the ionic radii and molar masses of Sc3+...Ch. 12.5 - Prob. 12.2.2PECh. 12.7 - Prob. 12.3.1PECh. 12.7 - Prob. 12.3.2PECh. 12.7 - Prob. 12.4.1PECh. 12.7 - Prob. 12.4.2PECh. 12 - Prob. 1DECh. 12 - Prob. 1E
Ch. 12 - Prob. 2ECh. 12 - Prob. 3ECh. 12 - Prob. 4ECh. 12 - Prob. 5ECh. 12 - Prob. 6ECh. 12 - Prob. 7ECh. 12 - Prob. 8ECh. 12 - Prob. 9ECh. 12 - Prob. 10ECh. 12 - 12.11 Covalent bonding occurs in both molecular...Ch. 12 - Prob. 12ECh. 12 - 12.13 What kinds of attractive forces exist...Ch. 12 - Prob. 14ECh. 12 - Prob. 15ECh. 12 - Prob. 16ECh. 12 - Prob. 17ECh. 12 - Prob. 18ECh. 12 - Prob. 19ECh. 12 - Amorphous silica, SiO2, has a density of about...Ch. 12 - Two patterns of packing for two different circles...Ch. 12 - Prob. 22ECh. 12 - Prob. 23ECh. 12 - Prob. 24ECh. 12 - Which of the three-dimensional primitive lattices...Ch. 12 - Prob. 26ECh. 12 - 12.27 What is the minimum number of atoms that...Ch. 12 - 12.28 What is the minimum number of atoms that...Ch. 12 - Prob. 29ECh. 12 - Prob. 30ECh. 12 - Prob. 31ECh. 12 - Prob. 32ECh. 12 - Prob. 33ECh. 12 - Prob. 34ECh. 12 - Prob. 35ECh. 12 - Prob. 36ECh. 12 - Prob. 37ECh. 12 - Prob. 38ECh. 12 - Prob. 39ECh. 12 - Prob. 40ECh. 12 - Prob. 41ECh. 12 - Prob. 42ECh. 12 - Prob. 43ECh. 12 - Prob. 44ECh. 12 - Prob. 45ECh. 12 - Prob. 46ECh. 12 - Prob. 47ECh. 12 - Prob. 48ECh. 12 - Prob. 49ECh. 12 - Prob. 50ECh. 12 - Prob. 51ECh. 12 - Prob. 52ECh. 12 - 12.53 Which would you expect to be the more...Ch. 12 - 12.54 Which of the following statements does not...Ch. 12 - Prob. 55ECh. 12 - Prob. 56ECh. 12 - Prob. 57ECh. 12 - Prob. 58ECh. 12 - Prob. 59ECh. 12 - Prob. 60ECh. 12 - 12.61 A particular form of cinnabar (HgS) adopts...Ch. 12 - At room temperature and pressure RbI crystallizes...Ch. 12 - Prob. 63ECh. 12 - Prob. 64ECh. 12 - The coordination number for Mg2+ ion is usually...Ch. 12 - Prob. 66ECh. 12 - Prob. 67ECh. 12 - Prob. 68ECh. 12 - Prob. 69ECh. 12 - Prob. 70ECh. 12 - Prob. 71ECh. 12 - Prob. 72ECh. 12 - Prob. 73ECh. 12 - Prob. 74ECh. 12 - Prob. 75ECh. 12 - Prob. 76ECh. 12 - Prob. 77ECh. 12 - Prob. 78ECh. 12 - Prob. 79ECh. 12 - Prob. 80ECh. 12 - Prob. 81ECh. 12 - Prob. 82ECh. 12 - Prob. 83ECh. 12 - Prob. 84ECh. 12 - Prob. 85ECh. 12 - 12.86 Write a balanced chemical equation for the...Ch. 12 - Prob. 87ECh. 12 - Prob. 88ECh. 12 - Prob. 89ECh. 12 - Prob. 90ECh. 12 - Prob. 91ECh. 12 - Prob. 92ECh. 12 - Prob. 93ECh. 12 - Prob. 94ECh. 12 - Explain why “bands” may not be the most accurate...Ch. 12 - Prob. 96ECh. 12 - Prob. 97ECh. 12 - Prob. 98ECh. 12 - Prob. 99ECh. 12 - An ideal quantum dot for use in TVs does not...Ch. 12 - Prob. 101ECh. 12 - Prob. 102ECh. 12 - Prob. 103AECh. 12 - Prob. 104AECh. 12 - Prob. 105AECh. 12 - Pure iron crystallizes in a body-centered cubic...Ch. 12 - Prob. 107AECh. 12 - Prob. 108AECh. 12 - Prob. 109AECh. 12 - What type of latticeprimitive cubic, body-centered...Ch. 12 - Prob. 111AECh. 12 - Prob. 112AECh. 12 - Prob. 113AECh. 12 - Energy bands are considered continuous due to the...Ch. 12 - Prob. 115AECh. 12 - Prob. 116AECh. 12 - Prob. 117AECh. 12 - Prob. 118AECh. 12 - Prob. 119AECh. 12 - Prob. 120AECh. 12 - Prob. 121AECh. 12 - Prob. 122AECh. 12 - Prob. 123AECh. 12 - The karat scale used to describe gold alloys is...Ch. 12 - 12.125 Spinel is a mineral that contains 37.9% AI,...Ch. 12 - Prob. 126IECh. 12 - Prob. 127IECh. 12 - Prob. 128IECh. 12 - Prob. 129IECh. 12 - Silicon has the diamond structure with a unit cell...Ch. 12 - Prob. 131IECh. 12 - Prob. 132IE
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, chemistry and related others by exploring similar questions and additional content below.Similar questions
- An amorphous solid can sometimes be converted to a crystalline solid by a process called annealing. Annealing consists of heating the substance to a temperature just below the melting point of the crystalline form and then cooling it slowly. Explain why this process helps produce a crystalline solid.arrow_forwardDescribe the unit cell of lithium (see Figure).arrow_forwardAssume X has a body-centered cubic lattice with all atoms at the lattice points. The edge length of the unit cell is 379.0 pm. The atomic mass of X is 195.0 amu. Calculate the density of X.arrow_forward
- Thallium(I) iodide crystallizes with the same structure a CsCl. The edge length of the Unit cell of TlI is 4.20. Calculate the ionic radius of TI+. (The ionic radius of I is 2.16 .)arrow_forward8.76 Using circles, draw regular two-dimensional arrangements that demonstrate low packing efficiency and high packing efficieny.arrow_forward• describe the arrangement of atoms in the common cubic crystal lattices and calculate the packing efficiency for a lattice.arrow_forward
- NaH crystallizes with the same ciystal structure as NaCl. The edge length of the cubic unit cell of NaH is 4.880. (a) Calculate the ionic radius of H. (The ionic radius of Li+ is 0.0.95 .) (b) Calculate the density of NaH.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(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_forward
- Lead has a face-centered cubic lattice with all atoms at lattice points and a unit-cell edge length of 495.0 pm. Its atomic mass is 207.2 amu. What is the density of lead?arrow_forwardThe memory metal, nitinol, is an alloy of nickel and titanium. It is called a memory metal because after being deformed, a piece of nitinol wire will return to its original shape. The structure of nitinol consists of a simple cubic array of Ni atoms and an inner penetrating simple cubic array of Ti atoms. In the extended lattice, a Ti atom is found at the center of a cube of Ni atoms; the reverse is also true. a. Describe the unit cell for nitinol. b. What is the empirical formula of nitinol? c. What are the coordination numbers (number of nearest neighbors) of Ni and Ti in nitinol?arrow_forwardWhat is a lattice? What is a unit cell? Describe a simple cubic unit cell. How many net atoms are contained in a simple cubic unit cell? How is the radius of the atom related to the cube edge length for a simple cubic unit cell? Answer the same questions for the body-centered cubic unit cell and for the face-centered unit cell.arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
Chemistry: The Molecular ScienceChemistryISBN:9781285199047Author:John W. Moore, Conrad L. StanitskiPublisher:Cengage Learning
Chemistry for Engineering StudentsChemistryISBN:9781285199023Author:Lawrence S. Brown, Tom HolmePublisher:Cengage Learning
Chemistry for Engineering StudentsChemistryISBN:9781337398909Author:Lawrence S. Brown, Tom HolmePublisher:Cengage Learning
Chemistry & Chemical ReactivityChemistryISBN:9781337399074Author:John C. Kotz, Paul M. Treichel, John Townsend, David TreichelPublisher:Cengage Learning
Chemistry & Chemical ReactivityChemistryISBN:9781133949640Author:John C. Kotz, Paul M. Treichel, John Townsend, David TreichelPublisher:Cengage Learning
Chemistry: Principles and ReactionsChemistryISBN:9781305079373Author:William L. Masterton, Cecile N. HurleyPublisher:Cengage Learning
Chemistry: The Molecular Science
Chemistry
ISBN:9781285199047
Author:John W. Moore, Conrad L. Stanitski
Publisher:Cengage Learning
Chemistry for Engineering Students
Chemistry
ISBN:9781285199023
Author:Lawrence S. Brown, Tom Holme
Publisher:Cengage Learning
Chemistry for Engineering Students
Chemistry
ISBN:9781337398909
Author:Lawrence S. Brown, Tom Holme
Publisher:Cengage Learning
Chemistry & Chemical Reactivity
Chemistry
ISBN:9781337399074
Author:John C. Kotz, Paul M. Treichel, John Townsend, David Treichel
Publisher:Cengage Learning
Chemistry & Chemical Reactivity
Chemistry
ISBN:9781133949640
Author:John C. Kotz, Paul M. Treichel, John Townsend, David Treichel
Publisher:Cengage Learning
Chemistry: Principles and Reactions
Chemistry
ISBN:9781305079373
Author:William L. Masterton, Cecile N. Hurley
Publisher:Cengage Learning
Unit Cell Chemistry Simple Cubic, Body Centered Cubic, Face Centered Cubic Crystal Lattice Structu; Author: The Organic Chemistry Tutor;https://www.youtube.com/watch?v=HCWwRh5CXYU;License: Standard YouTube License, CC-BY