Foundations of Materials Science and Engineering
6th Edition
ISBN: 9781259696558
Author: SMITH
Publisher: MCG
expand_more
expand_more
format_list_bulleted
Concept explainers
Videos
Textbook Question
Chapter 5.7, Problem 13AAP
Determine the diffusion flux of zinc atoms in a solid solution of zinc in copper between two points A and B, 20 μm apart, at 500°C. CA = 1026 atoms/m3 and CB = 1024 atoms/m3.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
How does atomic diffusion in solids affect the performance and reliability of mechanical components in high-temperature environments?
empt in Progress
Calculate the number of Frenkel defects per cubic meter in zinc oxide at 939°C. The energy for defect formation is 2.51 eV, while the
density for ZnO is 5.55 g/cm³ at this temperature. The atomic weights of zinc and oxygen are 65.41 g/mol and 16.00 g/mol,
respectively.
N₁=
6.5e17
defects/m³
M
Qu
Mult
Ques
Multin
why diffusion coefficients of carbon in BCC and FCC in iron at temperature 912 c are difference? explain ?
Chapter 5 Solutions
Foundations of Materials Science and Engineering
Ch. 5.7 - Prob. 1KCPCh. 5.7 - Write an equation for the number of vacancies...Ch. 5.7 - Prob. 3KCPCh. 5.7 - Prob. 4KCPCh. 5.7 - Describe the substitutional and interstitial...Ch. 5.7 - Prob. 6KCPCh. 5.7 - What factors affect the diffusion rate in solid...Ch. 5.7 - Write the equation for Ficks second law of...Ch. 5.7 - Prob. 9KCPCh. 5.7 - Prob. 10KCP
Ch. 5.7 - (a) Calculate the equilibrium concentration of...Ch. 5.7 - Prob. 12AAPCh. 5.7 - Determine the diffusion flux of zinc atoms in a...Ch. 5.7 - The diffusion flux of copper solute atoms in...Ch. 5.7 - Prob. 15AAPCh. 5.7 - Prob. 16AAPCh. 5.7 - Prob. 17AAPCh. 5.7 - A gear made of 1020 steel (0.20 wt% C) is to be...Ch. 5.7 - Prob. 19AAPCh. 5.7 - The surface of a steel gear made of 1020 steel...Ch. 5.7 - Prob. 21AAPCh. 5.7 - If boron is diffused into a thick slice of silicon...Ch. 5.7 - Prob. 23AAPCh. 5.7 - Prob. 24AAPCh. 5.7 - Prob. 25AAPCh. 5.7 - Prob. 26AAPCh. 5.7 - Prob. 27AAPCh. 5.7 - Prob. 28AAPCh. 5.7 - Prob. 29AAPCh. 5.7 - Prob. 30AAPCh. 5.7 - The diffusivity of copper atoms in the aluminum...Ch. 5.7 - Prob. 32AAPCh. 5.7 - Prob. 33SEPCh. 5.7 - Prob. 34SEPCh. 5.7 - Prob. 37SEPCh. 5.7 - Prob. 38SEPCh. 5.7 - The activation energy of nickel atoms in FCC iron...Ch. 5.7 - Prob. 40SEPCh. 5.7 - The self-diffusion of iron atoms in BCC iron is...Ch. 5.7 - Would you expect the diffusion rate of copper...Ch. 5.7 - Would you expect the diffusion rate of copper...Ch. 5.7 - Prob. 44SEPCh. 5.7 - Prob. 45SEPCh. 5.7 - Prob. 46SEPCh. 5.7 - Prob. 47SEPCh. 5.7 - Prob. 48SEPCh. 5.7 - Prob. 49SEPCh. 5.7 - Prob. 50SEP
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.Similar questions
- Problem 3. Phosphorus is diffused into a thick slice of silicon with no previous phosphorus in it at a temperature of 1100°C. If the surface concentration of the phosphorus is 1 × 1018 atoms/cm³ and its concentration at 1 um is 1 × 1015 atoms/cm, how long must be the diffusion time? D = 3.0 x 10-13 cm²/s for P diffusing in Si at 1100°C.arrow_forwardIn order to produce a certain semiconductor, a process called doping is performed in which phosphorus is diffused into germanium. If D0 = 2.0 x 10-4 m2/s and the activation energy is 240.6 J/mol, determine the diffusivity of P in Ge at 800°C.arrow_forwardA flat plug 30 mm thick having an area of 6×10-3 m2 is used to close an opening in a container. The gas O2 at 25 oC and 2 atm pressure is stored inside the container. Assume that the outside partial pressure of O2 is zero and the solubility of O2 is 0.9 m3 gas (at 0 oC and 1 atm) per m3 solid per atm pressure of O2 , and the diffusivity of O2 in the solid material is equal to 0.11×10-10 m2/s. i- Calculate the total leakage of O2 through the plug to the outside in kgmol/s at a steady state. ii- Using the information given in the Appendix (Table Q1), determine the most appropriate material to be used for constructing the plug; and state why?.arrow_forward
- In copper, what percentage of the volume change which occurs as the specimen is heated from room temperature to its melting point is due to the increased vacancy concentration, assuming that the vacancy concentration is just below the melting point (1083 oC) is 10-4. Given: Assume that the linear thermal expansion coefficient of copper is 16.5×10-6 K-1 over the whole temperature range.arrow_forwardCopper at 500 °C has 1.10×1015 vacancies/cm³. The atomic weight of Cu is 63.55 g/mol and the density at this temperature is 8.96 g/cm³. Avogadro constant NA ~ 6.022×1023 atoms/mol. Boltzmann constant (K) - 8.62×10-³ ev/atom • K. (a) What is the activation energy required to create a vacancy in Cu? (b) Cu is then cooled to 400 °C. What will be the number of vacancies per cubic centimeter? Assume that the change in the density in the cooling is negligible.arrow_forwardCalculate the value of the diffusion coefficient D (in m2/s) at 750°C for the diffusion of some species in a metal; assume that the values of D0 and Qd are 5.6 × 10-5 m2/s and 177 kJ/mol, respectively.arrow_forward
- Give three examples of materials processes that rely on diffusion in solids and explain how diffusion plays a critical role for one of those processes.arrow_forwardVacancy diffusion vs interstitial diffusion (when they can happen?)arrow_forwardCompare the diffusion coefficients (in cm²/s) of nitrogen in BCC and FCC iron at the allotropic transformation temperature of 912°C. Decc -153606 X Your response differs from the correct answer by more than 10%. Double check your calculations, cm²/s -1976-7 Dicc x Your response differs significantly from the correct answer. Rework your solution from the beginning and check each step carefully. cm2/sarrow_forward
- Define the General Heat/Diffusion Equation ?arrow_forwardQuestion 2: (Problem 2.6) An optical fiber for telecommunication is made of SIO2 glass (density 2.20 Mg/m) How many Si atoms and how many O atoms are present per millimeter of length (L 1 mm) of a fiber 10 um in diameter (d-10 mm)? Given M(Si)-28.09 g mole M(OF16gmole Avogadro's Number AN=0.6203 (10) Solution.arrow_forwardProblem 3. Phosphorus is diffused into a thick slice of silicon with no previous phosphorus in it at a temperature of 1100°C. If the surface concentration of the phosphorus is 1 x 10 atoms/cm and its concentration at 1 µm is 1 x 105 atoms/cm, how long must be the diffusion time? D = 3.0 x 10 cm?/s for P diffusing in Si at 1100°C.arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
Elements Of ElectromagneticsMechanical EngineeringISBN:9780190698614Author:Sadiku, Matthew N. O.Publisher:Oxford University Press
Mechanics of Materials (10th Edition)Mechanical EngineeringISBN:9780134319650Author:Russell C. HibbelerPublisher:PEARSON
Thermodynamics: An Engineering ApproachMechanical EngineeringISBN:9781259822674Author:Yunus A. Cengel Dr., Michael A. BolesPublisher:McGraw-Hill Education
Control Systems EngineeringMechanical EngineeringISBN:9781118170519Author:Norman S. NisePublisher:WILEY
Mechanics of Materials (MindTap Course List)Mechanical EngineeringISBN:9781337093347Author:Barry J. Goodno, James M. GerePublisher:Cengage Learning
Engineering Mechanics: StaticsMechanical EngineeringISBN:9781118807330Author:James L. Meriam, L. G. Kraige, J. N. BoltonPublisher:WILEY
Elements Of Electromagnetics
Mechanical Engineering
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Oxford University Press
Mechanics of Materials (10th Edition)
Mechanical Engineering
ISBN:9780134319650
Author:Russell C. Hibbeler
Publisher:PEARSON
Thermodynamics: An Engineering Approach
Mechanical Engineering
ISBN:9781259822674
Author:Yunus A. Cengel Dr., Michael A. Boles
Publisher:McGraw-Hill Education
Control Systems Engineering
Mechanical Engineering
ISBN:9781118170519
Author:Norman S. Nise
Publisher:WILEY
Mechanics of Materials (MindTap Course List)
Mechanical Engineering
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Cengage Learning
Engineering Mechanics: Statics
Mechanical Engineering
ISBN:9781118807330
Author:James L. Meriam, L. G. Kraige, J. N. Bolton
Publisher:WILEY
Introduction to Diffusion in Solids; Author: Engineering and Design Solutions;https://www.youtube.com/watch?v=K_1QmKJvNjc;License: Standard youtube license