Concept explainers
(a)
Interpretation:
The packing efficiency of the simple cubic cell (1atom/cell) is to be determined.
Concept Introduction:
Packing efficiency of the cubic cell is calculated by the following formula:
(a)

Answer to Problem 62QAP
The packing efficiency of the simple cubic cell (1atom/cell) is 52 %.
Explanation of Solution
Given:
The volume of one atom is
The percentage of the total of solid occupied by the spherical atoms in the cell is said to be packing efficiency.
The mathematical formula for the packing efficiency is:
In cubic cell, edge length is denoted as ‘s’ and the radius as ‘r’.
The relation between edge length and radius of the simple cubic cell is:
Put the above values in (1):
And the relation between r and s:
2r = s
There is only one atom present in the simple cubic cell.
Therefore,
Packing efficiency = 52 %.
(b)
Interpretation:
The packing efficiency of face-centered cubic cell (4 atoms/cell) is to be determined.
Concept Introduction:
Packing efficiency of the cubic cell is calculated by the following formula:
(b)

Answer to Problem 62QAP
The packing efficiency of the face-centered cubic cell (4atom/cell) is 74%.
Explanation of Solution
Given:
The volume of one atom is
The percentage of the total of solid occupied by the spherical atoms in the cell is said to be packing efficiency.
The mathematical formula for the packing efficiency is:
In cubic cell, edge length is denoted as ‘s’ and the radius as ‘r’.
The relation between edge length and radius of the face-centered cubic cell is:
Put the above values in (1):
And the relation between r and s:
There are four atoms present in the face-centered cubic cell.
Therefore,
Packing efficiency = 74 %
(c)
Interpretation:
The packing efficiency of a body-centered cubic cell (2 atoms/cell) is to be determined.
Concept Introduction:
Packing efficiency of the cubic cell is calculated by the following formula:
(c)

Answer to Problem 62QAP
The packing efficiency of a body-centered cubic cell (2 atom/cell) is 68 %.
Explanation of Solution
Given:
The volume of one atom is
The percentage of the total of solid occupied by the spherical atoms in the cell is said to be packing efficiency. The mathematical formula for the packing efficiency is:
In cubic cell, edge length is denoted as ‘s’ and the radius as ‘r’.
The relation between edge length and radius of the body-centered cubic cell is:
Put the above values in (1):
The relation between r and s:
There are two atoms present in the body-centered cubic cell.
Therefore,
Packing efficiency = 68 %
Want to see more full solutions like this?
Chapter 9 Solutions
OWLv2 for Masterton/Hurley's Chemistry: Principles and Reactions, 8th Edition, [Instant Access], 1 term (6 months)
- Please draw by handarrow_forward3. Predict the major product and give a mechanism for the following reactions: (CH3)3COH/H₂SO4 a) b) NC CH₂O c) LOCH, (CH3)3COH/H2SO4 H,SO -OHarrow_forwardIndicate if the aldehyde shown reacts with the provided nucleophiles in acid or base conditions. a NaBH4 be Li eli -NH2 P(Ph3) f KCN g OH excess h CH3OH i NaCHCCH3arrow_forward
- Predict the major products of the following organic reaction: + A ? Some important notes: • Draw the major product, or products, of the reaction in the drawing area below. • If there aren't any products, because no reaction will take place, check the box below the drawing area instead. • Be sure to use wedge and dash bonds when necessary, for example to distinguish between major products that are enantiomers. Explanation Check Click and drag to start drawing a structure. C © 2025 McGraw Hill LLC. All Rights Reserved. Terms of Use | Privacy Centearrow_forwardPolar solutes are most likely to dissolve into _____, and _____ are most likely to dissolve into nonpolar solvents. A. nonpolar solutes; polar solvents B. nonpolar solvents; polar solvents C. polar solvents; nonpolar solutes D. polar solutes; nonpolar solventsarrow_forwardDeducing the Peactants Can the molecule on the right-hand side of this organic reaction be made in good yield from no more than two reactants, in one step, by moderately heating the reactants? ? Δ If your answer is yes, then draw the reactant or reactants in the drawing area below. You can draw the reactants in any arrangement you like. If your answer is no, check the box under the drawing area instead. Explanation Check Click and drag to start drawing a structure. © 2025 McGraw Hill LLC. All Rights Reserved. Terms of Use | Privacy Center Xarrow_forward
- Draw all 8 stereoisomers, circling each pair of enantiomer(s)/ mirror image compound(s)arrow_forwardBookmarks Profiles Tab Window Help Chemical Formula - Aktiv Che X + → C 11 a app.aktiv.com Google Chrome isn't your default browser Set as default Question 12 of 16 Q Fri Feb 2 Verify it's you New Chrome availabl- Write the balanced molecular chemical equation for the reaction in aqueous solution for mercury(I) nitrate and chromium(VI) sulfate. If no reaction occurs, simply write only NR. Be sure to include the proper phases for all species within the reaction. 3 Hg(NO3)2(aq) + Cг2(SO4)3(aq) → 3 Hg₂SO (s) + 2 Cr(NO3), (aq) ean Ui mate co ence an climate bility inc ulnerabili women, main critic CLIMATE-INI ernational + 10 O 2 W FEB 1 + 4- 3- 2- 2 2 ( 3 4 NS 28 2 ty 56 + 2+ 3+ 4+ 7 8 9 0 5 (s) (1) Ch O 8 9 (g) (aq) Hg NR CI Cr x H₂O A 80 Q A DII A F2 F3 FA F5 F6 F7 F8 F9 #3 EA $ do 50 % 6 CO & 7 E R T Y U 8 ( 9 0 F10 34 F11 川 F12 Subr + delete 0 { P }arrow_forwardDeducing the reactants of a Diels-Alder reaction n the molecule on the right-hand side of this organic reaction be made in good yield from no more than two reactants, in one step, by moderately heating the reactants? ? Δ • If your answer is yes, then draw the reactant or reactants in the drawing area below. You can draw the reactants in any arrangement you like. • If your answer is no, check the box under the drawing area instead. Explanation Check Click and drag to start drawing a structure. >arrow_forward
- Predict the major products of the following organic reaction: + Some important notes: A ? • Draw the major product, or products, of the reaction in the drawing area below. • If there aren't any products, because no reaction will take place, check the box below the drawing area instead. • Be sure to use wedge and dash bonds when necessary, for example to distinguish between major products that are enantiomers. Explanation Check Click and drag to start drawing a structure.arrow_forwardif the answer is no reaction than state that and please hand draw!arrow_forward"I have written solutions in text form, but I need experts to rewrite them in handwriting from A to Z, exactly as I have written, without any changes."arrow_forward
- Chemistry: Principles and PracticeChemistryISBN:9780534420123Author:Daniel L. Reger, Scott R. Goode, David W. Ball, Edward MercerPublisher:Cengage LearningPrinciples 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 Learning
- Chemistry & Chemical ReactivityChemistryISBN:9781133949640Author:John C. Kotz, Paul M. Treichel, John Townsend, David TreichelPublisher:Cengage LearningGeneral Chemistry - Standalone book (MindTap Cour...ChemistryISBN:9781305580343Author:Steven D. Gammon, Ebbing, Darrell Ebbing, Steven D., Darrell; Gammon, Darrell Ebbing; Steven D. Gammon, Darrell D.; Gammon, Ebbing; Steven D. Gammon; DarrellPublisher:Cengage LearningChemistry: The Molecular ScienceChemistryISBN:9781285199047Author:John W. Moore, Conrad L. StanitskiPublisher:Cengage Learning





