Materials Science And Engineering Properties
Materials Science And Engineering Properties
1st Edition
ISBN: 9781111988609
Author: Charles Gilmore
Publisher: Cengage Learning
Question
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Chapter 2, Problem 2.5P
To determine

The comparison of theoretical density of silver at 960°C to that at room temperature.

Expert Solution & Answer
Check Mark

Answer to Problem 2.5P

The obtained density of silver at 960°C temperature 9.842g/cm3 is less than the density of silver at room temperature.

Explanation of Solution

Given:

The density of silver at room temperature is 10.49g/cm3.

The lattice parameter for is 0.4176nm.

Formula used:

Write the expression to find the number of atoms per unit volume.

na=Numberofatomsa3 …… (I)

Here, na is the number of atoms per unit volume and Numberofatoms is the numbers of atoms in a unit cell.

Write the formula to find the density of silver.

ρAg=na×MAgNA …… (II)

Here, ρAg is the density of silver, MAg is the molecular weight of silver, and NA is the Avogadro’s number.

Calculation:

Silver has the Face Centered Cubic (FCC) structure with 4 number of atoms.

Substitute 4atoms for Numberofatoms and 0.4176nm for a in equation (I) to find na.

na=4atoms ( 0.4176nm )3=4atoms ( 0.4176nm× 10 9 m 1nm )3=4atoms0.0728× 10 27m3=54.94×1027atoms/m3

The molecular weight of silver is 107.87×103kg/mole.

Avogadro’s number is 6.02×1023atoms/mole.

Substitute 54.94×1027atoms/m3 for na, 107.87×103kg/mole for MAg and 6.02×1023atoms/mole for NA in equation (II) to find ρAg at temperature 960°C.

ρAg=54.94× 10 27atoms/ m 3×107.87× 10 3kg/mole6.02× 10 23atoms/mole=9.842×103kgm3×( 10 3 g kg)×( 10 6 cm 3 m 3 )=9.842g/cm3

Compare the obtained density of silver at 960°C temperature with the density of silver at room temperature is 10.49g/cm3.

The obtained density of silver is less than the density of silver at room temperature.

Conclusion:

Therefore, the obtained density of silver at 960°C temperature 9.842g/cm3 is less than the density of silver at room temperature.

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Chapter 2 Solutions

Materials Science And Engineering Properties

Ch. 2 - Prob. 11CQCh. 2 - Prob. 12CQCh. 2 - Prob. 13CQCh. 2 - Prob. 14CQCh. 2 - Prob. 15CQCh. 2 - Prob. 16CQCh. 2 - Prob. 17CQCh. 2 - Prob. 18CQCh. 2 - Prob. 19CQCh. 2 - Prob. 20CQCh. 2 - Prob. 21CQCh. 2 - Prob. 22CQCh. 2 - Prob. 23CQCh. 2 - Prob. 24CQCh. 2 - Prob. 25CQCh. 2 - Prob. 26CQCh. 2 - Prob. 27CQCh. 2 - Prob. 28CQCh. 2 - Prob. 29CQCh. 2 - Prob. 30CQCh. 2 - Prob. 31CQCh. 2 - Prob. 32CQCh. 2 - Prob. 33CQCh. 2 - Prob. 34CQCh. 2 - Prob. 35CQCh. 2 - Prob. 36CQCh. 2 - Prob. 37CQCh. 2 - Prob. 38CQCh. 2 - Prob. 39CQCh. 2 - Prob. 40CQCh. 2 - Prob. 41CQCh. 2 - Prob. 42CQCh. 2 - Prob. 43CQCh. 2 - Prob. 44CQCh. 2 - Prob. 45CQCh. 2 - Prob. 46CQCh. 2 - Prob. 47CQCh. 2 - Prob. 48CQCh. 2 - Prob. 49CQCh. 2 - Prob. 50CQCh. 2 - Prob. 51CQCh. 2 - Prob. 52CQCh. 2 - Prob. 1ETSQCh. 2 - Prob. 2ETSQCh. 2 - Prob. 3ETSQCh. 2 - Prob. 4ETSQCh. 2 - Prob. 5ETSQCh. 2 - Prob. 6ETSQCh. 2 - Prob. 7ETSQCh. 2 - Prob. 8ETSQCh. 2 - Prob. 9ETSQCh. 2 - Prob. 10ETSQCh. 2 - Prob. 11ETSQCh. 2 - Prob. 12ETSQCh. 2 - Prob. 13ETSQCh. 2 - Prob. 1DRQCh. 2 - Prob. 2DRQCh. 2 - Prob. 3DRQCh. 2 - Prob. 4DRQCh. 2 - Prob. 5DRQCh. 2 - Prob. 2.1PCh. 2 - Prob. 2.2PCh. 2 - Prob. 2.3PCh. 2 - Prob. 2.4PCh. 2 - Prob. 2.5PCh. 2 - Prob. 2.6PCh. 2 - Prob. 2.7PCh. 2 - Prob. 2.8PCh. 2 - Prob. 2.9PCh. 2 - Prob. 2.10PCh. 2 - Prob. 2.11PCh. 2 - Prob. 2.12PCh. 2 - Prob. 2.13PCh. 2 - Prob. 2.14PCh. 2 - Prob. 2.15PCh. 2 - Prob. 2.16PCh. 2 - Prob. 2.17PCh. 2 - Prob. 2.18PCh. 2 - Prob. 2.19PCh. 2 - Prob. 2.20PCh. 2 - Prob. 2.21PCh. 2 - Prob. 2.22PCh. 2 - Prob. 2.23PCh. 2 - Prob. 2.24PCh. 2 - Prob. 2.25PCh. 2 - Prob. 2.26P
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Materials Science And Engineering Properties
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ISBN:9781111988609
Author:Charles Gilmore
Publisher:Cengage Learning