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 d 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. 3.

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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:
Transcribed Image Text: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:
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