In$-$tutorial Exercise #$3$

MIAE $221$

Fall $2024$

Question $2(4$ points$)$

Determine the carburizing time necessary to achieve a carbon concentration of $0\mathrm{.}44wt\%$ at a position $1\mathrm{.}5$ mm into an iron$-$caroon alloy that initially contains $0\mathrm{.}20wt\%C.$ The surface concentration is to be maintained at $1\mathrm{.}3wt\%C,$ and the treatment is to be conducted at $1000C.$ The activation energy and pre$-$exponential term $(D_0)$ values are $148k\frac{J}{m}ol$ and $2\mathrm{.}3{10}^{-5}\frac{m^2}{s}.$