Foundations of Materials Science and Engineering
6th Edition
ISBN: 9781259696558
Author: SMITH
Publisher: MCG
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Chapter 5.7, Problem 27AAP
To determine
The diffusivity
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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
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- The preexponential and activation energy for the diffusion of chromium in nickel are 1.1 x 10-4 m²/s and 272,000 J/mol, respectively. At what temperature (in "C) will the diffusion coefficient have a value of 1.1 x 10-14 m²/s? i °Carrow_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_forwardThe activation energy for the diffusion of atomic species A in metal B is 103 kJ/mol. Calculate the diffusion coefficient at 842°C, given that the value of D at 1150°C is 6.5 x 10-12 m²/s. i m²/sarrow_forward
- Answer in a brief and concise essay. 1. Why does diffusion in solids important?arrow_forwardMechanical Engineering At approximately what temperature (in Kelvin) would a specimen of an alloy have to be carburized for 1.3 h to produce the same diffusion result as at 760°C for 14 h? Assume that values for Do and Qdare 3.6 x 10-6 m²/s and 163 kJ/mol, respectively.arrow_forwardThe activation energy for the diffusion of copper in silver is 193,000 J/mol. Calculate the diffusion coefficient at 1200 K (927C), given that D at 1000 K (727C) is 1.0 x10^-14 m2 /s.arrow_forward
- At what temperature (in Kelvin) will the diffusion coefficient for the diffusion of species A in metal B have a value of 5.20 × 10-16 m2/s, assuming values of 1.3 x 10-5 m2/s and 224,000 J/mol for Do and Qa, respectively?arrow_forwardThe diffusion coefficient for carbon in BCC iron at 400C and 900C is given as 3.80x10-13 and 1.70x-10m2/s respectively. Determine the temperature (in degrees C) at which a specimen of BCC iron has to be carburized for 150 minutes to produce the same diffusion result as at 900C for one hour.arrow_forwardDefine the General Heat/Diffusion Equation ?arrow_forward
- What temperature is required to obtain 0.4%C at a distance of 0.3 mm beneath the surface of a 0.22% C steel in 2h, when 1.1% C is present at the surface? Assume that the iron is FCC. (Please see figure 5.12 below for diffusion coefficient data. Please use your notes for a table of erf() function values Diffusion coefficient D (cm²/s) ܐ ܐ ܐ ܐ 10- 10-5 10- 10-10 10-11 10-12 10-13 10-14 10-15 Temperature (°C) 2000 1500 1200 1000 900 800 700 600 Cin graphite Mg in MgO Ca in Cao Hin FCC iron C in FCC iron Fe in FCC iron Fe in BCC iron H in BCC iron C in BCC iron Fe in FeO 500 5 6 7 8 9 10 11 12 13 104 T(K) Figure 5-12 The diffusion coefficient D as a function of reciprocal temperature for some metals and ceramics. In this Arrhenius plot, D represents the rate of the diffusion process. A steep slope denotes a high activation energy.arrow_forwardAt approximately what temperature (in Kelvin) would a specimen of an alloy have to be carburized for 2.1 h to produce the same diffusion result as at 920°C for 14 h? Assume that values for Do and Q are 3.7 x 10 m/s and 156 kJ/mol, respectively. T- Karrow_forwardCarbon is allowed to diffuse through a steel plate 11 mm thick. The concentrations of carbon at the two faces are 0.85 and 0.42 kg C/m³ in Fe, which are maintained constant. If the preexponential and activation energy are 6.2 x 107 m2/s and 80,000 J/mol, respectively, compute the temperature (in K) at which the diffusion flux is 6.5 x 10-10 kg/m2-s. Karrow_forward
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Introduction to Diffusion in Solids; Author: Engineering and Design Solutions;https://www.youtube.com/watch?v=K_1QmKJvNjc;License: Standard youtube license