We are having a basic oxygen furnace for which the composition for the hot metal is given as $1\%,0\mathrm{.}2\%,0\mathrm{.}20\%$ and $3\mathrm{.}5\%$ for Silicon, Phosphorus, Mn and Carbon respectively. The $15\%$ of the hot metal will be considered for the weight of the scrap. The steel at tap will contains $0\mathrm{.}2\%$ of Carbon. The composition of the slag has Calcium Oxide, Ferous oxide, Magnesium oxide, Manganese oxide as $54\%,18\%,2\mathrm{.}5\%$ and $2\mathrm{.}5\%$ respectively. The Calcium Oxide to Silica ratio is $3\mathrm{.}5.$ We have to determine the weight of the hot metal, weight of the slag produced, Quantity of the lime required and calculate the quantity of oxygen required per tonne of steel. For the calculation, assume that the exit gas of the converter contains $15\%C{O}_2$ and $85\%CO$ as average of the entire heat.

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