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  3. the following are solutions to the diffusion equation ex t...

Question: the following are solutions to the diffusion equation ex t...

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The following are solutions to the diffusion equation e(x, t) = c(r, t)co e(x, t) -00 + Σ [An.sin(A4) + Bn.cos(Anr)].exp (-) expADt VT Dt - erf M) Specify the best solution for each of the following examples and explain your choice. a) A thin sheet of steel (thickness 0.8 mm) with a high carbon concentra tion is annealed in a carbon-free gas environment for 2 weeks. The dif- fusion coefficient of C in steel is 10-7 cm2/s. A gas containing a dopant is passed over a Si wafer with thickness 0.1 cm for 30 minutes. The dopant diffusion coefficient is 10-10 cm2/s A thin film of radioactive Fe is deposited on the and of a 40 mm long Fe cylinder and annealed at high temperature temperature for 60 minutes The diffusion coefficient of Fe at this temperature is 10-9 cm2/s b) c)

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