Chapter 12.6, Problem 3.3ACP

### Chemistry & Chemical Reactivity

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

Chapter
Section

### Chemistry & Chemical Reactivity

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

# The density of gray tin is 5.769 g/cm3. Determine the dimensions (in pm) of the cubic crystal lattice.

Interpretation Introduction

Interpretation:

The dimension of the cubic crystal lattice in gray tin has to be calculated.

Concept introduction:

To find formula for the dimension of the atom is given below,

Length of one side=V3

Explanation

Number of atoms per unit is given below,

It has 8 atoms in the corner, 6 atom in the face, 4 atoms in the body.

NumberÂ ofÂ atomsÂ perÂ unitâ€‰=Â (8â€‰cornerâ€‰atomsâ€‰â€‰Ã—â€‰â€‰1/8â€‰â€‰+â€‰â€‰6â€‰faceâ€‰atomâ€‰â€‰Ã—â€‰â€‰1/2â€‰â€‰+â€‰4â€‰bodyâ€‰atomsâ€‰â€‰Ã—â€‰â€‰1)NumberÂ ofÂ atomsÂ perÂ unitâ€‰=â€‰8

densityÂ =â€‰5.769â€‰g/cm3molarâ€‰massâ€‰ofâ€‰tinâ€‰=â€‰118.710Â g/mol

Z = number of atoms per unit.

Massâ€‰ofâ€‰theâ€‰unitâ€‰cellâ€‰=â€‰8Â Ã—Â 118.7106.023Ã—1023Massâ€‰ofâ€‰theâ€‰unitâ€‰cellâ€‰=â€‰1

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