Darken showed that the chemical potential of carbon was indeed constant through the joint. Thus the results could have been correctly and easily described with a flux equation of the form J=M(/x), while the application of Fick's first law was virtually impossible. Fra. 4-3. Distribution of carbon resulting from 13-day anneal at 1050C. The carbon content was initially 0.478% throughout the left side and 0.441% throughout the right side. (From L. S. Darken, "Atom Movements," p. 21, ASM, Cleveland, 1951.) a) Use the figure on the following page to sketch the expected carbon diffusion profile for an anneal similar to Darken's, but wherein the Fe-3.8\% Si-C alloy has a starting uniform carbon composition of 0.315% and the Fe-C alloy has a starting uniform carbon composition of 0.586%. These starting compositions are shown in the figure below as wide lines. Be as quantitative as possible and show any calculations needed. Darken showed that the chemical potential of carbon was indeed constant through the joint. Thus the results could have been correctly and easily described with a flux equation of the form J=M(/x), while the application of Fick's first law was virtually impossible. Fra. 4-3. Distribution of carbon resulting from 13-day anneal at 1050C. The carbon content was initially 0.478% throughout the left side and 0.441% throughout the right side. (From L. S. Darken, "Atom Movements," p. 21, ASM, Cleveland, 1951.) a) Use the figure on the following page to sketch the expected carbon diffusion profile for an anneal similar to Darken's, but wherein the Fe-3.8\% Si-C alloy has a starting uniform carbon composition of 0.315% and the Fe-C alloy has a starting uniform carbon composition of 0.586%. These starting compositions are shown in the figure below as wide lines. Be as quantitative as possible and show any calculations needed