You can get some idea of how efficiently spherical atoms or ions are packed in a three-dimensional solid by seeing how well circular atoms pack in two dimensions. Using the drawings shown here, prove that B is a more efficient way to pack circular atoms than A. The unit cell of A contains portions of four circles and one hole. In B, packing coverage can be calculated by looking at a triangle that contains portions of three circles and one hole. Show that A fills about 80% of the available space, whereas B fills closer to 90% of the available space.

Q: Expert Answer

Interpretation Introduction Interpretation: From the picture, picture B is more efficiency than picture A and diagram B is leads to the surface coverage of 78.5% has to be proved. Concept introduction: The area of the triangle is calculated by using following formula, area of triangle= 1/2× base ×height Explanation Diagram A is leads to the surface coverage of 78.5% which is shown below, = area covered by the circle total area = area of one circle (2 r circle ) 2 = Πr 2 4r 2 = 0 .785 =78 .5% Diagram B is leads to the surface coverage of 78.5% which is shown below, area of triangle= 1/2× base ×height area of triangle= 1 2 × 2r × 3 r area covered

Question

Still sussing out bartleby?

Answer 1

BuyFind

Chemistry & Chemical Reactivity

9th Edition

John C. Kotz + 3 others

Publisher: Cengage Learning

ISBN: 9781133949640

Solutions

Chapter

Section

Answer 2

BuyFind

Chemistry & Chemical Reactivity

9th Edition

John C. Kotz + 3 others

Publisher: Cengage Learning

ISBN: 9781133949640

Solutions

Chapter

Section

Answer 3

Solutions

Chapter

Section

Answer 4

Chapter

Section

Answer 5

Interpretation Introduction

Interpretation:

From the picture, picture B is more efficiency than picture A and diagram B is leads to the surface coverage of 78.5% has to be proved.

Concept introduction:

The area of the triangle is calculated by using following formula,

area of triangle= 1/2× base ×height

Explanation of Solution

Diagram A is leads to the surface coverage of 78.5% which is shown below,

= area covered by the circletotal area = area of one circle(2 rcircle)2= Πr24r2= 0.785=78.5%

Diagram B is leads to the surface coverage of 78.5% which is shown below,

area of triangle= 1/2× base ×heightarea of triangle= 12× 2r ×3rarea covered

Chemistry & Chemical Reactivity

Solutions

Chemistry & Chemical Reactivity

Explanation of Solution

Still sussing out bartleby?

The Solution to Your Study Problems

Chapter 12 Solutions

Additional Science Textbook Solutions