Let's assign the oxidation numbers to each element in the given reaction:
[tex]\[
CaF_2(s) + H_2SO_4(aq) \rightarrow CaSO_4(aq) + 2HF(g)
\][/tex]
### For [tex]$CaF_2$[/tex]:
- The oxidation number of [tex]\( \text{Ca} \)[/tex] is [tex]\( \boxed{2} \)[/tex]
- The oxidation number of [tex]\( \text{F} \)[/tex] is [tex]\( \boxed{-1} \)[/tex]
### For [tex]$H_2SO_4$[/tex]:
- The oxidation number of [tex]\( \text{H} \)[/tex] is [tex]\( \boxed{1} \)[/tex]
- The oxidation number of [tex]\( \text{S} \)[/tex] is [tex]\( \boxed{6} \)[/tex]
- The oxidation number of [tex]\( \text{O} \)[/tex] is [tex]\( \boxed{-2} \)[/tex]
### For [tex]$CaSO_4$[/tex]:
- The oxidation number of [tex]\( \text{Ca} \)[/tex] is [tex]\( \boxed{2} \)[/tex]
- The oxidation number of [tex]\( \text{S} \)[/tex] is [tex]\( \boxed{6} \)[/tex]
- The oxidation number of [tex]\( \text{O} \)[/tex] is [tex]\( \boxed{-2} \)[/tex]
### For [tex]$HF$[/tex]:
- The oxidation number of [tex]\( \text{H} \)[/tex] is [tex]\( \boxed{1} \)[/tex]
- The oxidation number of [tex]\( \text{F} \)[/tex] is [tex]\( \boxed{-1} \)[/tex]
So the oxidation numbers for the elements in each compound in the reaction are as follows:
- In [tex]\(CaF_2\)[/tex], the oxidation number of [tex]\(Ca\)[/tex] is [tex]\(2\)[/tex], and that of [tex]\(F\)[/tex] is [tex]\(-1\)[/tex].
- In [tex]\(H_2SO_4\)[/tex], the oxidation number of [tex]\(H\)[/tex] is [tex]\(1\)[/tex], that of [tex]\(S\)[/tex] is [tex]\(6\)[/tex], and that of [tex]\(O\)[/tex] is [tex]\(-2\)[/tex].
- In [tex]\(CaSO_4\)[/tex], the oxidation number of [tex]\(Ca\)[/tex] is [tex]\(2\)[/tex], that of [tex]\(S\)[/tex] is [tex]\(6\)[/tex], and that of [tex]\(O\)[/tex] is [tex]\(-2\)[/tex].
- In [tex]\(HF\)[/tex], the oxidation number of [tex]\(H\)[/tex] is [tex]\(1\)[/tex], and that of [tex]\(F\)[/tex] is [tex]\(-1\)[/tex].
