Respuesta :
Answer:
[tex]24[/tex].
Explanation:
[tex]3\, {\rm CuS} + 8\, {\rm HNO_{3}} \to 3\, {\rm CuSO_{4}} + 8\, {\rm NO} + 4\, {\rm H_{2}O}[/tex].
Start by finding the oxidation of each species in this reaction.
- The oxidation state of [tex]{\rm O}[/tex] in most compounds is mostly [tex](-2)[/tex] (exceptions include peroxide and compounds with fluorine.) Thus, the oxidation state of [tex]{\rm N}[/tex] in [tex]{\rm NO}[/tex] would be [tex]0 - (-2) = (+2)[/tex].
- [tex]{\rm S}^{2-}[/tex], [tex]{\rm NO_{3}}^{-}[/tex], and [tex]{\rm SO_{4}}^{2-}[/tex] are polyatomic ions where the oxidation states are well-known. The oxidation state of [tex]{\rm S}[/tex] in [tex]{\rm S^{2-}}[/tex] is [tex](-2)[/tex], the oxidation state of [tex]{\rm N}[/tex] in [tex]{\rm NO_{3}}^{-}[/tex] is [tex](-1) - 3 \times (-2) = (+5)[/tex], and the oxidation state of [tex]{\rm S}[/tex] in [tex]{\rm SO_{4}}^{2-}[/tex] is [tex](-2) - 4 \times (-2) = (+6)[/tex].
[tex]3\, {\rm \stackrel{+2}{Cu}\stackrel{-2}{S}} + 8\, {\rm H\stackrel{+5}{N}O_{3}} \to 3\, {\rm \stackrel{+2}{Cu}\stackrel{+6}{S}O_{4}} + 8\, {\rm \stackrel{+2}{N}O} + 4\, {\rm H_{2}O}[/tex].
Oxidation state changes in this reaction include:
- The oxidation state of three [tex]{\rm S}[/tex] atoms is increased by [tex]8[/tex] each, from [tex](-2)[/tex] to [tex](+6)[/tex].
- The oxidation state of eight [tex]{\rm N}[/tex] atoms is reduced by [tex]3[/tex] each, from [tex](+5)[/tex] to [tex](+2)[/tex].
Thus, three [tex]{\rm S}[/tex] atoms transferred a total of [tex]3 \times 8 = 24[/tex] electrons to eight [tex]{\rm N}[/tex] atoms in this reaction.