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Chemistry & Chemical Reactivity

10th Edition
John C. Kotz + 3 others
ISBN: 9781337399074

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BuyFindarrow_forward

Chemistry & Chemical Reactivity

10th Edition
John C. Kotz + 3 others
ISBN: 9781337399074
Textbook Problem

The solid-state structure of silicon carbide is shown below.

  1. (a) How many atoms of each type are contained within the unit cell? What is the formulas of silicon carbide?
  2. (b) Knowing that the Si—C bond length is 188.8 pm (and the Si—C—Si bond angle is 109.5°), calculate the density of SiC.

images

Unit cell of SiC

images

Sample of silicon carbide

(a)

Interpretation Introduction

Interpretation:

Number of atoms of each type that are contained within the unit cell and formulas of silicon carbide has to be determined.

Explanation

From the illustration given,

    

                     Figure 1

The  atoms at six faces is,

The  atoms at eight corners is,

Total

(b)

Interpretation Introduction

Interpretation:

The density of images has to be calculated.

Concept introduction:

The volume of the atom is given below,

images

The density of the unit cell is calculated as follows,

images

images

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