Foundations of Materials Science and Engineering
6th Edition
ISBN: 9781259696558
Author: SMITH
Publisher: MCG
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Chapter 5.7, Problem 6KCP
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Write the equation for Fick’s first law of diffusion, and define each of the terms in SI units.
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The activation energy for the diffusion of atomic species A in metal B is 114 kJ/mol. Calculate the diffusion coefficient at 891°C, given that the value of D at 1170°C is 76.7 × 10^-12 m2/s.
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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.
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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- Answer in a brief and concise essay. 1. Why does diffusion in solids important?arrow_forwardDefine the General Heat/Diffusion Equation ?arrow_forwardRank the magnitudes of the diffusion coefficients from greatest to least for the following systems: N in Fe at 700°C Cr in Fe at 700°C N in Fe at 900°C Cr in Fe at 900°C Now justify this ranking. (Note: Both Fe and Cr have the BCC crystal structure, and the atomic radii for Fe, Cr, and N are 0.124, 0.125, and 0.065 nm, respectively. You may also want to refer to Section 5.4.)arrow_forward
- Please kindly help. I will give a like. Thank you! a. Describe the S-curve model of diffusion on how does ‘rate of adoption’ change over time? At which-point is the rate of diffusion the fastest? b. S-curve model of diffusion: (true/false) and reasoning - k = 0, the rate of diffusion is instantaneous? - fixed k ≥ 0, the carrying capacity is determined only by the ratio of a and b? - fixed k ≥ 0, the rate of diffusion is determined only by the ratio of a and b? c. The diffusion of hybrid corn in the 1940s, who or which region seems to have adopted the hybrids more quickly and why?arrow_forwardDISCUSSION THEORY OF DISFFUSION AND THROUGLY EXPLAIN FIVE DIFFUSION QUANTITIES.ALSO EXPLAIN THE DIFFUSION AND HEAT TRANSFER. PLEASE GIVE 2-3 PAGE DETAILED ESSAY.arrow_forward2. For the image, label the region indicated by the arrow and the expected mechanical response for that region (i.e. is it soft, hard, brittle, ductile), then name the diffusion mechanism to create it White region Phase: Behavior: Dark region Phase: Behavior: Mechanism:arrow_forward
- Vacancy diffusion vs interstitial diffusion (when they can happen?)arrow_forwardCalculate the residual molar entropy for molecular crystals of 1,3,5-Trichlorobenzenearrow_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
- 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_forwardQuestion 1Helium gas is contained in a cylinder by a gas-tight piston which can beassumed to move without friction. The gas occupies a volume of 1 x 10^-3m^3 temperature of 300K and a pressure of 1 x 10^5 Pa.(a) Calculate :i.the number of helium atoms in the container,ii.the total KE of the helium atoms(b) Energy is now supplied to the gas in such a way that the gas expands andthe temperature remains constant at 300K. State, and explain what changes, if any, will have occurred in the following quantities :i. The internal energy of the gasii. The root-mean-square speed of the helium atomsiii. The density of the gas.(Given : Boltzmann's constant = 1.38 x 10^23 JK^-1)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
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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