Assign oxidation states for all atoms in each of the following compounds. a. \(\mathrm{UO}_{2}^{2+}\) b. \(\mathrm{As}_{2} \mathrm{O}_{3}\) c. \(\mathrm{NaBiO}_{3}\) d. As \(_{4}\) e. \(\mathrm{HAsO}_{2}\) f. \(\mathrm{Mg}_{2} \mathrm{P}_{2} \mathrm{O}_{7}\) g. \(\mathrm{Na}_{2} \mathrm{~S}_{2} \mathrm{O}_{3}\) h. \(\mathrm{Hg}_{2} \mathrm{Cl}_{2}\) i. \(\mathrm{Ca}\left(\mathrm{NO}_{3}\right)_{2}\)

Short Answer

Expert verified
a. U: +6, O: -2 b. As: +3, O: -2 c. Na: +1, Bi: +5, O: -2 d. As: 0 e. H: +1, As: +3, O: -2 f. Mg: +2, P: +5, O: -2 g. Na: +1, S: +2, O: -2 h. Hg: +1, Cl: -1 i. Ca: +2, N: +5, O: -2

Step by step solution

01

a. Assigning oxidation states for \(\mathrm{UO}_{2}^{2+}\)

We know that the overall charge of the compound is +2 and the oxidation state of oxygen is usually -2. Since there are two oxygen atoms, their combined oxidation state is -4. Thus, the uranium atom must have an oxidation state of +6 to balance the overall charge to +2. Uranium: +6 Oxygen: -2
02

b. Assigning oxidation states for \(\mathrm{As}_{2} \mathrm{O}_{3}\)

In this compound, the overall charge is 0. Assuming oxygen has an oxidation state of -2, the total oxidation state of the three oxygen atoms is -6. To balance it, the two arsenic atoms must have a combined oxidation state of +6. Therefore, each arsenic atom has an oxidation state of +3. Arsenic: +3 Oxygen: -2
03

c. Assigning oxidation states for \(\mathrm{NaBiO}_{3}\)

The overall charge of the compound is 0. Sodium is an alkali metal with an oxidation state of +1, and oxygen usually has an oxidation state of -2. With one sodium and three oxygen atoms, their combined oxidation state is +1 - 6 = -5. Thus, the bismuth atom must have an oxidation state of +5 to balance the overall charge. Sodium: +1 Bismuth: +5 Oxygen: -2
04

d. Assigning oxidation states for As\(_{4}\)

As this is an uncombined element, each arsenic atom has an oxidation state of 0. Arsenic: 0
05

e. Assigning oxidation states for \(\mathrm{HAsO}_{2}\)

The overall charge of the compound is 0. We know that hydrogen has an oxidation state of +1, and oxygen has an oxidation state of -2. With one hydrogen and two oxygen atoms, their combined oxidation state is +1 - 4 = -3. Thus, the arsenic atom must have an oxidation state of +3 to balance the overall charge. Hydrogen: +1 Arsenic: +3 Oxygen: -2
06

f. Assigning oxidation states for \(\mathrm{Mg}_{2} \mathrm{P}_{2} \mathrm{O}_{7}\)

The overall charge of the compound is 0. We know that magnesium has an oxidation state of +2, and oxygen has an oxidation state of -2. With two magnesium atoms and seven oxygen atoms, their combined oxidation state is 2(+2) - 7(2) = +4 - 14 = -10. Thus, the two phosphorus atoms must have a combined oxidation state of +10. Therefore, each phosphorus atom has an oxidation state of +5. Magnesium: +2 Phosphorus: +5 Oxygen: -2
07

g. Assigning oxidation states for \(\mathrm{Na}_{2} \mathrm{~S}_{2} \mathrm{O}_{3}\)

We know that sodium has an oxidation state of +1, oxygen has an oxidation state of -2, and the overall charge of the compound is 0. With two sodium and three oxygen atoms, their combined oxidation state is 2(+1) - 3(2) = +2 - 6 = -4. Thus, the two sulfur atoms must have a combined oxidation state of +4. Therefore, each sulfur atom has an oxidation state of +2. Sodium: +1 Sulfur: +2 Oxygen: -2
08

h. Assigning oxidation states for \(\mathrm{Hg}_{2} \mathrm{Cl}_{2}\)

The overall charge of the compound is 0. We know that chlorine has an oxidation state of -1. With two chlorine atoms, their combined oxidation state is -2. So, the two mercury atoms must have a combined oxidation state of +2. Therefore, each mercury atom has an oxidation state of +1. Mercury: +1 Chlorine: -1
09

i. Assigning oxidation states for \(\mathrm{Ca}\left(\mathrm{NO}_{3}\right)_{2}\)

Identify that the compound is made up of calcium and two nitrates. Calcium has an oxidation state of +2, and the overall charge of the compound is 0. Now we need to find the oxidation state of nitrogen and oxygen in the nitrate ion. The nitrate ion, \(\mathrm{NO}_{3}^{-}\), has an overall charge of -1. Oxygen has an oxidation state of -2. In the nitrate ion, the combined oxidation state of the three oxygen atoms is -6. Thus, nitrogen must have an oxidation state of +5 to balance the charge of the nitrate ion. Calcium: +2 Nitrogen: +5 Oxygen: -2

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