What temperature is required to obtain 0.4%C at adistance of 0.3 mm beneath the surface of a 0.22% Csteel in 2h, when 1.1% C is present at the surface?Assume that the iron is FCC. (Please see figure 5.12below for diffusion coefficient data. Please use your notesfor a table of erf() function valuesDiffusion coefficient D (cm²/s)ܐܐܐܐ10-10-510-10-1010-1110-1210-1310-1410-15Temperature (°C)2000 1500 1200 1000 900 800 700 600Cin graphiteMg in MgOCa in CaoHin FCC ironC in FCC ironFe in FCC ironFe in BCC ironH in BCC ironC in BCC ironFe in FeO5005 6 7 8 9 10 11 12 13104T(K)Figure 5-12 The diffusion coefficient D as a function of reciprocal temperature for somemetals and ceramics. In this Arrhenius plot, D represents the rate of the diffusion process.A steep slope denotes a high activation energy.

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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

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

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Using the Tabulation of Diffusion Data, answer the following: (a) Calculate the diffusion coefficient for Cu in Al at 520'C. 7.18e-14 m2/s (Use scientific notation.) (b) What time (in h) will be required at 620°C to produce the same diffusion result (in terms of concentration at a specific point) as for 12hat 520 C? i 2.52
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Diffusion 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 600o
3. A BCC iron alloy containing 0.05 wt% C is carburized at 1050°C such that the carbon concentration is 0.5 wt% at a distance 2mm from the surface. Meanwhile, the carbon concentration at the surface is kept constant at 1.5 wt% C. a. What is the value of the diffusion constant for carbon diffusing into BCC Fe at 1050 °C? Show all work. Write the relevant equation for the diffusivity within this box: Write the values of all of the parameters in the equation above within the box below: Write your final answer for the diffusivity within this box: b. Determine the diffusion time required to achieve the carbon profile described above. Show all work. Write the relevant equation needed to solve this problem within this box: Write the values of all of the given parameters in the equation above within the box below: Write the value for erf(z) within this box:
6. (20%) Pure zinc is to be diffused into the copper by dipping copper into molten zinc at 450°C. Calculate how long would take to obtain 10wt% zinc at a depth of 0.5 mm beneath the copper surface. Is this commercially feasible? What practical problems might arise if we raise the temperature to 1000°C ? Use Table below for error function values as needed. At 450°C, the diffusion coefficient D = 6.3 10-17 m²/s.
Consider an alloy that is undergoing carburizing process, initially has a uniform carbon concentration of 0.27 wt% and is to be treated at 950°C (1750°F). If the concentration of carbon at the surface is suddenly brought to and maintained at 1.32 (c) wt%, how long will it take to achieve a carbon content of 0.85% at a position 0.7 mm below the surface? The diffusion coefficient for carbon in iron at this temperature is 1.6 x 10-11 m2/s; assume that the steel piece is semi-finite.
(c) Consider an alloy that is undergoing carburizing process, initially has a uniform carbon concentration of 0.27 wt% and is to be treated at 950oC (1750oF). If the concentration of carbon at the surface is suddenly brought to and maintained at 1.32 wt%, how long will it take to achieve a carbon content of 0.85% at a position 0.7 mm below the surface? The diffusion coefficient for carbon in iron at this temperature is 1.6 x 10-11 m2/s; assume that the steel piece is semi-finite.
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