Indicate the oxidation state of \(S\) in \(\left(\text { a) } \mathrm{SO}_{3}^{2-}\right.\) (b) \(\mathrm{S}_{2} \mathrm{O}_{3}^{2-} ;\) (c) \(\mathrm{S}_{2} \mathrm{O}_{8}^{2-} ;\) (d) \(\mathrm{HSO}_{4}^{-} ;\) (e) \(\mathrm{S}_{4} \mathrm{O}_{6}^{2-}\)

Short Answer

Expert verified
The oxidation states of Sulfur (S) in the compounds are: (a) +4, (b) +2, (c) +7, (d) +6, (e) +2.

Step by step solution

01

Understand the rules for Oxidation States

First, it's necessary to know the rules of oxidation states. The oxidation state of a pure element is always zero. The oxidation state of a monoatomic ion is equal to the charge of that ion. Hydrogen usually has an oxidation state of +1 and Oxygen usually has an oxidation state of -2.
02

Calculate the oxidation state for SO3^2-

For SO3^2-, we know the oxidation state of Oxygen(O) is usually -2 and there are 3 of them, so the total oxidation state for O is -6. Since the overall charge of the molecule is -2, the oxidation state of S must be +4 to balance it.
03

Calculate the oxidation state for S2O3^2-

For S2O3^2-, the total oxidation state for 3 Oxygens is -6. To balance the compound with a charge of -2, the total oxidation state for 2 Sulfur atoms must be +4, so the oxidation state for one Sulfur is +2.
04

Calculate the oxidation state for S2O8^2-

For S2O8^2-, the total oxidation state for 8 Oxygens is -16. To balance the compound with a charge of -2, the total oxidation state for 2 Sulfur atoms should be +14, so the oxidation state for one Sulfur is +7.
05

Calculate the oxidation state for HSO4^-

In HSO4^-, the hydrogen and oxygen contribute +1 and -8 respectively to the total oxidation number due to their usual states. The total must equal -1 to balance the compound, which means the oxidation state of S is +6.
06

Calculate the oxidation state for S4O6^2-

In S4O6^2-, the total oxidation state for 6 Oxygens is -12. To balance the compound with a charge of -2, the total oxidation state for 4 Sulfur atoms is +10, so the oxidation state for one Sulfur is +2.

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