To decrease greenhouse gas emissions the steel industry is increasingly moving to

employing the electric arc furnace $($EAF$)$ steel making route where steel scrap can be

used as the source material. Here, the level of residuals is of concern with tin being an

important trace element. The diffusion coefficient of $Sn$ is an important parameter to

assess the potential role of $Sn$ on microstructure$-$property evolution during thermo$-$

mechanical processing of steel. The Sn diffusion coefficient in fcc$-$Fe has been

measured to be $4\mathrm{.}9{10}^{-11}c\frac{m^2}{s}$ at $1000C,1\mathrm{.}8{10}^{-10}c\frac{m^2}{s}$ at $1100C$ and $5\mathrm{.}7{10}^{-10}$

$c\frac{m^2}{s}$ at $1200C.$ Make an Arrhenius plot for the diffusion coefficient and determine

the pre$-$exponential term and the activation energy for Sn diffusion. Further, estimate

the heat treatment temperature for which a holding time of $2$ hours would lead to a

diffusion distance of $10m.$