The following data was supplied for a ferro$-$chromium production of a certain plant.

Reduction of chrome oxide in the ore is $90\%$

Reduction of iron oxide in the ore is $95\%$

Carbon content in the alloy is $7\%$

Silicon content in the alloy is $1\mathrm{.}5\%$

The composition of the chrome ore is as follows; $54\%C{r}_2{O}_3$; $15\mathrm{.}6\%$FeO;$13\mathrm{.}6\%$MgO;$10\%A{l}_2{O}_3$;$4\mathrm{.}5\%Si{O}_2$

If the chrome ore portion of the charge is $575Kg$ : $-$

i$.$ Calculate the weight of the alloy produced

$[15]$

ii$.$ The amount coke required considering that the fixed amount of carbon in the charge exceeds the stoichiometric amount by $25\%$

Use the following equations in your calculations.

$C{r}_2{O}_3+3C2Cr+3CO$

FeO$+CFe+CO$

$Si{O}_2+2CSi+2CO$

$\backslash$table$[[$Element$,Cr,Fe,Si,O,C$