Use a simplified blast furnace materials balance and heat balance models, calculate the consumption of coke $(9\%$ ash$)$ in a blast furnace $($kg$/$tonne hot metal$)$ processing magnetite. The hot metal is at $1800$ K and contains $4\mathrm{.}7$ wt$\%$ of carbon. Supposing the top gas contains the same concentration $($vol$\%)$ of CO and CO$2.$