Foundations of Materials Science and Engineering
6th Edition
ISBN: 9781259696558
Author: SMITH
Publisher: MCG
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Chapter 5.7, Problem 45SEP
To determine
Is the non-steady diffusion process more sensitive to temperature or time. Explain using appropriate equations.
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Calculate the diffusion constant, D, for the process at a diffusion temperature of T=1150 ⁰C given that D0 = 5.5 *10-5 m2/s; Qd = 148,000 J/mol.
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 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_forwardThe diffusion coefficients for iron in nickel are given at two temperatures: T(K) D(m2/s) 1273 9.4 x 10-16 1473 2.4 x 10-14 (a) Determine the values of D0 and the activation energy Qd. (b) What is the magnitude of D at 1100ºC (1373 K)?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
- The 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_forwardThe diffusion coefficients for iron in nickel are given at two temperatures: T (K) D (m2/s) 1273 9.4 × 10–16 1473 2.4 × 10–14 R is the ideal gas constant, 8.314 J/mol K. T is the absolute temperature in ____degrees K. _____ Determine the values of D0 and_____ the activation energy Qd. What is the magnitude of D at 1100ºC (1373 K)?arrow_forwardDiffusion of carbon into the surface of BCC steel at 600oC for 10 hours results in a carbon concentration of 0.2wt% at a depth of 1.5 mm below the surface. At what depth will the same concentration be obtained if the diffusion time is increased to 20 hours, leaving the temperature at 600oarrow_forward
- The diffusion coefficient of nickel in an austenitic stainless steel is 10-22 m2/s at 500°C and 10^-15 m^2/s at 1000°C. Calculate the activation energy for the diffusion of nickel in this alloy over this temperature range.arrow_forwardwhy diffusion coefficient of caarbon inBCC and FCC iron at temperature 912 is different?arrow_forwardThe dimension of diffusion coefficient is ?? Explain.arrow_forward
- The diffusion coefficients for metal A in metal B are given at two temperatures: T (K) D (m2/s) 1283 6.55 × 10–17 1543 6.43 × 10–16 Dtermine the activation energy (Qd), the value of Do and the magnitude of D at 1463 K?arrow_forwardCarbon is allowed to diffuse through a steel plate 11-mm thick. The concentrations of carbon at the two faces are 0.936 and 0.224 kg C/m3 Fe, which are maintained constant. If the preexponential and activation energy are 6.5 × 10-7 m2/s and 82 kJ/mol, respectively, calculate the temperature (in K) at which the diffusion flux is 3.2 × 10-9 kg/(m2-s).arrow_forwardCompute diffusion coefficients for the interdiffusion of carbon in both (a) α-iron (BCC) and (b) γ-iron (FCC) at 1000˚C. Assume that D0 for the interdiffusion of carbon in α-iron and in γ-iron are 1.1 × 10-6 and 2.3 × 10-5 m2/s, respectively, and that Qd are 80 and 148 kJ/mol, respectively.arrow_forward
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Ficks First and Second Law for diffusion (mass transport); Author: Taylor Sparks;https://www.youtube.com/watch?v=c3KMpkmZWyo;License: Standard Youtube License