$8-$ Charging materials $($Iron ore, sinter$,$ pellet, flux and coke$)$ are loaded into blast furnace to produce $1$ ton of

pig iron. $500kg$ coke and unknown weight of flux $($F$)$ will be charged per $1000kg$ of pig iron.

Charge distribution ratio of iron containing burdens is $($iron ore $20\%+$ sinter $60\%+20\%$ pellet$)$

and with $Ca\frac{O}{S}iO2=\frac{8}{10}$ in the slag formed. No iron oxide formation and no iron oxide

loss will be assumed in the calculation.

a$)$ Calculate the quantity of iron ore, sinter&pellet to be charged to produce $1$ ton of pig iron $?$

b$)$ Calculate the quantity of flux $($F$)$ by using $Ca\frac{O}{S}iO2=\frac{8}{10}$ ratio $?$

c$)$ Calculate the weight of total slag to be formed and Oxide $\%$ distribution in the slag $?(30$ p$)$ Chemical

composition of burdens in weight basis

Atomic masses $($g$/$mol$)$: Fe: $56,$ C:$12,$ O:$16,$ Si: $28,$ Ca: $40,$ Mn: $55$