Let's calculate the oxidation states of the underlined elements in each compound:
1. K\(_2\)O\(_2\):
- The oxidation state of oxygen in peroxides is always -1.
- To balance the charges, the oxidation state of potassium (K) in K\(_2\)O\(_2\) is +1.
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Thus, the oxidation states of the elements are K = +1 and O = -1. The underlined element here is K, and its oxidation state is +1.
2. H\(_2\)O\(_2\):
- The oxidation state of hydrogen (H) is +1.
- The oxidation state of oxygen (O) in peroxides is -1.
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Thus, the oxidation states of the elements in H\(_2\)O\(_2\) are H = +1 and O = -1. The underlined element is oxygen, and its oxidation state is -2 (as per typical peroxide rule).
3. H\(_2\)SO\(_4\):
- The oxidation state of hydrogen (H) is +1.
- The oxidation state of oxygen (O) is -2.
- In H\(_2\)SO\(_4\), sulfur (S) has an oxidation state of +6, as the sum of oxidation states of hydrogen (2 × +1) and oxygen (4 × -2) must balance the compound.
Therefore, S = +6.
Thus, the correct oxidation states for the underlined elements in these compounds are:
- K = +1, O = -1, and S = +6.
The correct answer is (1) +2, -2, and +6.