Determine the carburizing time $($in s$)$necessary to achieve a carbonconcentration of $0\mathrm{.}44$w$\%$ at a position$2\mathrm{.}2$rnm into an ironcarbon alloy thatinitially contains $0\mathrm{.}031$wr $\%$ C$.$ The surfaceconcentration is to be maintained at$1\mathrm{.}2$wt $\%$ C$,$ and the treatment is to beconducted at $1190\backslash$deg C$.$ Assume that$5$ mD$,=5\mathrm{.}1$ x $10$ne the carburizing$2$You will find the table below useful. $\backslash$table$[,$ erf$($:$),$z$,$ erf$($:$),$z$,$ erf$($:$)$erflz$)$and $,=154$kol.carbon alloy that intiaiycotans u eaMllfndthe tabe bewusefulentration of $044$ w$\%$ ata position $22$ mm into an ironerflz$)$D$\mathrm{.}025$ o$0202060$ D$603$o$4004284$o$05$ aosb$406506420047550550\mathrm{.}56313093400100112507006778$erflz$)1409523150966116097630150\mathrm{.}168007507112$o$20022270800742118$ o$9891025027630\mathrm{.}850\mathrm{.}77071909928$o$3003286$ a$9007970209953035037940\mathrm{.}95$ G$82092209981$O$\mathrm{.}84272409993$O$\mathrm{.}9838$mo $88022609998$e treatnent is to betime