Concept explainers
(a)
The fraction of atom sites those are vacant in gold at the given temperature.
Answer to Problem 4.15P
The fraction of atom sites that are vacant in gold at the
Explanation of Solution
Given:
The enthalpy of formation of one vacancy in pure gold is
The temperature is
Formula used:
The expression to calculate the fraction of atom sites that are vacant is gold is give by,
Here,
Calculation:
The fraction of atom sites that are vacant is calculated as,
Substitute
Conclusion:
Therefore, the fraction of atoms that are vacant in gold at the
(b)
The contribution to the volume coefficient of expansion for gold due to the formation of vacancies.
Answer to Problem 4.15P
The contribution to the volume coefficient of expansion for gold due to the formation of vacancies is
Explanation of Solution
Formula used:
The relation between the fraction of atom sites that are vacant and the volume change is given by,
Here,
The expression for the volume coefficient of expansion of gold is given by,
Here,
Substitute
Here,
Calculation:
The volume coefficient of expansion for gold is calculated as,
Substitute
Conclusion:
Therefore, the contribution to volume coefficient of expansion for gold is
(c)
The fraction of volume coefficient of expansion for gold.
Answer to Problem 4.15P
The fraction of volume coefficient of expansion for gold is
Explanation of Solution
Formula used:
The fraction of volume of coefficient of expansion of gold is given by,
Here,
Calculation:
The fraction of volume of coefficient of expansion of gold is calculated as,
Substitute
Conclusion:
Therefore, fraction of volume coefficient of expansion for gold is
Want to see more full solutions like this?
Chapter 4 Solutions
Materials Science And Engineering Properties
- Materials Science And Engineering PropertiesCivil EngineeringISBN:9781111988609Author:Charles GilmorePublisher:Cengage Learning