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A basic oxygen furnace was charged with 200 tons of hot metal and 20 tons of scrap. The chemical analyses were as follows: Hot metal: 4.2 wt.\% C, 1.5 wt.\% Si, 0.8 wt.\% Mn, 0.4 wt.\% P Scrap : $0.2 \mathrm{wt} . \% \mathrm{C}$ The charge was blown with oxygen (98 wt.\% pure) that was metered in at the rate of $1.0 \mathrm{ton} / \mathrm{min}$. The blow oxidized all the $\mathrm{C}, \mathrm{Si}, \mathrm{Mn}$, and $\mathrm{P}$, as well as Fe amounting to $4 \mathrm{wt} . \%$ of the hot metal. All of the $\mathrm{FeO}$ thus formed was reported in the slag. The gases contained $\mathrm{CO}$ and $\mathrm{CO}_{2}$ in the proportion of 9:1. Assume that enough lime $(\mathrm{CaO})$ was added to form a slag analyzing $38 \mathrm{wt} \%$ $\mathrm{CaO}$. The material streams are indicated below: \begin{tabular}{ll} \hline Input & Output \\ \hline Hot metal & Refined metal \\ Scrap & Slag \\ Oxygen & Gases \\ Lime & \\ \hline \end{tabular} (3) Calculate: (a) The amount of oxygen consumed; (b) The amount of commercial oxygen to be supplied and the time of blowing; (c) The mass of lime $(\mathrm{CaO})$ added; (d) The weight and composition of the slag made; and fill in the table below. \begin{tabular}{|l|l|l|} \hline Component & Mass (tons) & Weight-percent \\ \hline $\mathrm{CaO}$ & & \\ \hline $\mathrm{SiO}_{2}$ & & \\ \hline $\mathrm{MnO}$ & & \\ \hline $\mathrm{P}_{2} \mathrm{O}_{5}$ & & \\ \hline $\mathrm{FeO}$ & & \\ \hline Total & & 100.00 \\ \hline \end{tabular}

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