Consider a blast furnace which is charged with iron ore, coke and flux with the following composition:

Iron ore $($weight $\%)$: Fe$2$O$3=78,$ SiO$2=8\mathrm{.}4,$ MnO$=0\mathrm{.}6,$ Al$2$O$3=5\mathrm{.}0,$ P$2$O$5=1\mathrm{.}7,$ MgO$=1\mathrm{.}2$ and H$2$O$=5\mathrm{.}1$

Coke $($weight $\%)$: C$=88,$ SiO$2=9,$ Al$2$O$3=1$ and H$2$O$=2$

Flux $($weight $\%)$: CaCO$3=96\%,$ MgCO$3=2\%$ and SiO$2=2\%$

And pig iron is produced with the following composition:

Pig iron $($weight $\%)$: Fe $=92\mathrm{.}7,$ C$=4,$ Si$=2,$ P$=0\mathrm{.}9$ and Mn$=0\mathrm{.}4$

The coke and flux rates are $900$ and $425$ kg$/$ton of pig iron, respectively. During smelting $99\mathrm{.}5\%$ of Fe is

reduced and $0\mathrm{.}5\%$ is slagged. The CO$/$CO$2$ ratio in the top gas is $2/1.$

Calculate

a$)$ Weight of iron ore

b$)$ Weight and composition of slag

c$)$ Volume of air required

d$)$ Volume and $\%$composition of exit gas.