Chemistry & Chemical Reactivity
Chemistry & Chemical Reactivity
9th Edition
ISBN: 9781133949640
Author: John C. Kotz, Paul M. Treichel, John Townsend, David Treichel
Publisher: Cengage Learning
bartleby

Concept explainers

bartleby

Videos

Textbook Question
Book Icon
Chapter L, Problem 43GQ

The smallest repeating unit of a crystal of common salt is a cube (called a unit cell) with an edge length of 0.563 nm.

Chapter L, Problem 43GQ, The smallest repeating unit of a crystal of common salt is a cube (called a unit cell) with an edge

  1. (a) What is the volume of this cube in cubic nanometers? In cubic centimeters?
  2. (b) The density of NaCl is 2.17 g/cm3. What is the mass of this smallest repeating unit (“unit cell”)?
  3. (c) Each repeating unit is composed of four NaCl units. What is the mass of one NaCl formula unit?

(a)

Expert Solution
Check Mark
Interpretation Introduction

Interpretation: The volume of this cube in cubic nanometers.

Concept Introduction:

Density: Is a characteristic property of a substance. The density of a substance is the relationship between the mass of the substance and how much space it takes up (volume).

  Density = MassVolume

Answer to Problem 43GQ

The volume is 0.178 nm3 and in cubic centimeters is 1.78 ×1022 cm3

Explanation of Solution

  Calculate the volume of unit cell:_Volume of a unit cell is l3  Volume  = (0.563)3=0.179nm3Conversion of units:_Given: Volume = 0.179nm3Known: 1 nm = 107cmWhereas,0.179nm is  = 0.179nm×107cm1 nm=0.179×(107cm)3=0.179×1021cm3             =1.79×1022cm3.

The volume in nanometers is 0.178 nm3 and in cubic centimeters is 1.78 ×1022 cm3

(b)

Expert Solution
Check Mark
Interpretation Introduction

Interpretation: The volume of this cube in cubic nanometers.

Concept Introduction:

Density: Is a characteristic property of a substance. The density of a substance is the relationship between the mass of the substance and how much space it takes up (volume).

  Density = MassVolume

Answer to Problem 43GQ

Mass of the smallest repeating unit is 3.87 ×10-22 g

Explanation of Solution

  Calculate the mass of the unit cell:_Given: Density = 2.17g/cm3 ; Volume = 1.78×10-22cm3Known: Density = MassVolumeWhereas,Mass=Density×Volume   = 2.17g/cm3× 1.78×10-22cm3  =3.87×10-22g.

The obtained mass of the smallest repeating unit is 3.87 ×10-22 g

(c)

Expert Solution
Check Mark
Interpretation Introduction

Interpretation: The volume of this cube in cubic nanometers.

Concept Introduction:

Density: Is a characteristic property of a substance. The density of a substance is the relationship between the mass of the substance and how much space it takes up (volume).

  Density = MassVolume

Answer to Problem 43GQ

Mass of one formula unit is 9.68 ×10-23 g

Explanation of Solution

  Calculate the mass of one NaCl unit cell:_Mass of four unit cell is 3.87×10-22g.Therefore,Mass of 1 unit cells =3.87×10-22g4                               = 9.68 ×10-23g.

The obtained mass of one formula unit is 9.68 ×10-23 g

Want to see more full solutions like this?

Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!
Students have asked these similar questions
7. Suppose you make a solution that contains 17.59 g of sodium chloride and 960 g of water. (a) What is the mass % of sodium chloride? (b) If 16.47 mL of your solution weighs 16.651 g,what is the density (in g/cc)?
(a) The sodium ion did not take part in this chemical reaction(Diluted H2SO4(aq) versus NaOH(aq)). What do we call such an ion?(b) Draw a simple diagram which shows how the sodium ion mixes with water in solution.What do we call this physical process?
Container A and Container B were filled completely with chicken powder. The total mass of 1/3 of the chicken powder in Container B and 1/11 of the chicken powder in Container A was 570 g. If 5/11 of the chicken powder in Container A was poured out, the total mass of the chicken powder in both containers became 2.28 kg. How much chicken powder was in (a) Container A in grams? (b) Container B in grams?

Chapter L Solutions

Chemistry & Chemical Reactivity

Ch. L.2 - Two students were assigned to determine the mass...Ch. L.3 - Prob. 1CYUCh. L.3 - Prob. 1RCCh. L.3 - Prob. 2RCCh. L.3 - 3. What is the sum of 10.26 g and 0.063 g? 10.323...Ch. L.3 - Prob. 4RCCh. L.4 - The density of gold is 19,320 kg/m3. What is this...Ch. L.4 - 1. A lake has an area of 2.33 × 107 m2. What is...Ch. L.5 - What is the fuel density in units of kg/L?Ch. L.5 - What mass and what volume of fuel should have been...Ch. L.6 - A particular paint has a density of 0.914 g/cm3....Ch. L.6 - Prob. 1RCCh. L - Many laboratories use 25C as a standard...Ch. L - The temperature on the surface of the Sun is 5.5 ...Ch. L - Prob. 3PSCh. L - Make the following temperature conversions:Ch. L - A marathon distance race covers distance of 42.195...Ch. L - The average lead pencil, new and unused, is 19 cm...Ch. L - A standard U.S. postage stamp is 2.5 cm long and...Ch. L - A compact disc has a diameter of 11.8 cm. What is...Ch. L - A typical laboratory beaker has a volume of 250....Ch. L - Some soft drinks are sold in bottles with a volume...Ch. L - A book has a mass of 2.52 kg. What is this mass in...Ch. L - A new U.S. dime has a mass of 2.265 g. What is its...Ch. L - Ethylene glycol, C2H6O2, is an ingredient of...Ch. L - A piece of silver metal has a mass of 2.365 g. If...Ch. L - Prob. 15PSCh. L - Which occupies a larger volume, 600 g of water...Ch. L - You are on a diet that calls for eating no more...Ch. L - A 2-in. piece of chocolate cake with frosting...Ch. L - Prob. 19PSCh. L - Prob. 20PSCh. L - You and your lab partner are asked to determine...Ch. L - The accepted value of the melting point of...Ch. L - Prob. 23PSCh. L - Prob. 24PSCh. L - Prob. 25PSCh. L - Prob. 26PSCh. L - To determine the average mass of a popcorn kernel,...Ch. L - Use the following graph to answer the following...Ch. L - Use the graph below to answer the following...Ch. L - Solve the following equation for the unknown...Ch. L - Solve the following equation for the unknown...Ch. L - Solve the following equation for the unknown...Ch. L - Prob. 34PSCh. L - Molecular distances are usually given in...Ch. L - The separation between carbon atoms in diamond is...Ch. L - A red blood cell has a diameter of 7.5 m...Ch. L - The platinum-containing cancer drug cisplatin...Ch. L - Prob. 39GQCh. L - You need a cube of aluminum with a mass of 7.6 g....Ch. L - You have a 250.0-mL graduated cylinder containing...Ch. L - Prob. 42GQCh. L - The smallest repeating unit of a crystal of common...Ch. L - Diamond has a density of 3.513 g/cm3. The mass of...Ch. L - Prob. 45GQCh. L - The density of pure water at various temperatures...Ch. L - Prob. 47GQCh. L - The aluminum in a package containing 75 ft2 of...Ch. L - Fluoridation of city water supplies has been...Ch. L - About two centuries ago, Benjamin Franklin showed...Ch. L - Prob. 51GQCh. L - A 26-meter-tall statue of Buddha in Tibet is...Ch. L - At 25 C, the density of water is 0.997 g/cm3,...Ch. L - Suppose your bedroom is 18 ft long and 15 ft wide,...Ch. L - A spherical steel ball has a mass of 3.475 g and a...Ch. L - You are asked to identify an unknown liquid that...Ch. L - You have an irregularly shaped piece of an unknown...Ch. L - There are five hydrocarbon compounds (compounds of...Ch. L - Suppose you have a cylindrical glass tube with a...Ch. L - Copper: Copper has a density of 8.96 g/cm3 An...Ch. L - Copper: (a) Suppose you have a cube of copper...Ch. L - A sample of unknown metal is placed in a graduated...Ch. L - Iron pyrite is often called fool's gold because it...Ch. L - You can analyze for a copper compound in water...Ch. L - Prob. 67IL
Knowledge Booster
Background pattern image
Chemistry
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
SEE MORE QUESTIONS
Recommended textbooks for you
Text book image
Chemistry
Chemistry
ISBN:9781305957404
Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:Cengage Learning
Text book image
Chemistry
Chemistry
ISBN:9781259911156
Author:Raymond Chang Dr., Jason Overby Professor
Publisher:McGraw-Hill Education
Text book image
Principles of Instrumental Analysis
Chemistry
ISBN:9781305577213
Author:Douglas A. Skoog, F. James Holler, Stanley R. Crouch
Publisher:Cengage Learning
Text book image
Organic Chemistry
Chemistry
ISBN:9780078021558
Author:Janice Gorzynski Smith Dr.
Publisher:McGraw-Hill Education
Text book image
Chemistry: Principles and Reactions
Chemistry
ISBN:9781305079373
Author:William L. Masterton, Cecile N. Hurley
Publisher:Cengage Learning
Text book image
Elementary Principles of Chemical Processes, Bind...
Chemistry
ISBN:9781118431221
Author:Richard M. Felder, Ronald W. Rousseau, Lisa G. Bullard
Publisher:WILEY
Types of Matter: Elements, Compounds and Mixtures; Author: Professor Dave Explains;https://www.youtube.com/watch?v=dggHWvFJ8Xs;License: Standard YouTube License, CC-BY