Answer
The sulfide ore is first roasted in air:
$2ZnS(s) + 3O_{2}(g) -> 2ZnO(s) + 2SO_{2}(g)$
The zinc oxide is then mixed with coke and limestone in a blast furnace where the following reductions occur:
$ZnO(s) + C(s) -> Zn(g) + CO(g)$
$ZnO(s) + CO(g) -> Zn(g) + CO_{2}(g)$
The zinc vapor formed distills from the furnace into an appropriate receiver.
Work Step by Step
The sulfide ore is first roasted in air:
$2ZnS(s) + 3O_{2}(g) -> 2ZnO(s) + 2SO_{2}(g)$
The zinc oxide is then mixed with coke and limestone in a blast furnace where the following reductions occur:
$ZnO(s) + C(s) -> Zn(g) + CO(g)$
$ZnO(s) + CO(g) -> Zn(g) + CO_{2}(g)$
The zinc vapor formed distills from the furnace into an appropriate receiver.