
Concept explainers
Interpretation:
The density of a hypothetical ionic compound for given radii and masses of cations and anions, is to be determined.
Concept introduction:
Ionic compounds contain cations and anions that are arranged in a crystal lattice.
A crystal lattice is made of small repeating unit cells.
A unit cell is of primitive or centered type.
Each atom or ion in a unit cell is shared by the adjacent cells. An atom or ions at corners is shared by eight unit cells.
The edge length of a body-centered cubic cell is given by the relation as follows:
Here,
is the edge length,
is the radius of cation, and
The volume of the unit cell
The density
Here,
is the mass.

Answer to Problem 146AP
Solution:
Explanation of Solution
Given information:
Radii of the anion
The figure is as shown below:
The given unit cell is body-centered, in which there is one cation at the center, and eight anions at the corners, shared by eight unit cells.
The contribution of 8 anions at the corners to one unit cell is:
In the unit cell, one anion and one cation are present.
The mass of an anion is
and that of a cation is
The relation between
and
is as:
Convert the mass to grams as follows:
Similarly,
Thus, the mass of the unit cell will be:
The formula to calculate the edge length is as:
Substitute
for
and
for
in the above expression as:
Convert the edge length to
as follows:
The expression to calculate volume is as:
Substitute
in the above expression as:
Now, finally calculate density as:
Substitute
for
for
in the above expression as:
The density of the hypothetical ionic compound is
Want to see more full solutions like this?
Chapter 11 Solutions
Chemistry
- What alkene or alkyne yields the following products after oxidative cleavage with ozone? Click the "draw structure" button to launch the drawing utility. and two equivalents of CH2=O draw structure ...arrow_forwardH-Br Energy 1) Draw the step-by-step mechanism by which 3-methylbut-1-ene is converted into 2-bromo-2-methylbutane. 2) Sketch a reaction coordinate diagram that shows how the internal energy (Y- axis) of the reacting species change from reactants to intermediate(s) to product. Brarrow_forward2. Draw the missing structure(s) in each of the following reactions. The missing structure(s) can be a starting material or the major reaction product(s). C5H10 H-CI CH2Cl2 CIarrow_forward
- Draw the products of the stronger acid protonating the other reactant. དའི་སྐད”“ H3C OH H3C CH CH3 KEq Product acid Product basearrow_forwardDraw the products of the stronger acid protonating the other reactant. H3C NH2 NH2 KEq H3C-CH₂ 1. Product acid Product basearrow_forwardWhat alkene or alkyne yields the following products after oxidative cleavage with ozone? Click the "draw structure" button to launch the drawing utility. draw structure ... andarrow_forward
- Draw the products of the stronger acid protonating the other reactant. H3C-C=C-4 NH2 KEq CH H3C `CH3 Product acid Product basearrow_forward2. Draw the missing structure(s) in each of the following reactions. The missing structure(s) can be a starting material or the major reaction product(s). C5H10 Br H-Br CH2Cl2 + enant.arrow_forwardDraw the products of the stronger acid protonating the other reactant. KEq H₂C-O-H H3C OH Product acid Product basearrow_forward
- Draw the products of the stronger acid protonating the other reactant. OH KEq CH H3C H3C `CH3 Product acid Product basearrow_forward2. Draw the missing structure(s) in each of the following reactions. The missing structure(s) can be a starting material or the major reaction product(s). Ph H-I CH2Cl2arrow_forward3 attempts left Check my work Draw the products formed in the following oxidative cleavage. [1] 03 [2] H₂O draw structure ... lower mass product draw structure ... higher mass productarrow_forward
- Principles of Modern ChemistryChemistryISBN:9781305079113Author:David W. Oxtoby, H. Pat Gillis, Laurie J. ButlerPublisher:Cengage LearningChemistry & Chemical ReactivityChemistryISBN:9781337399074Author:John C. Kotz, Paul M. Treichel, John Townsend, David TreichelPublisher:Cengage LearningChemistry: Principles and PracticeChemistryISBN:9780534420123Author:Daniel L. Reger, Scott R. Goode, David W. Ball, Edward MercerPublisher:Cengage Learning
- ChemistryChemistryISBN:9781305957404Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCostePublisher:Cengage LearningChemistry: An Atoms First ApproachChemistryISBN:9781305079243Author:Steven S. Zumdahl, Susan A. ZumdahlPublisher:Cengage Learning





