Assign oxidation numbers to all the atoms in each of the following: a. \(\mathrm{HNO}_{3}\) b. \(\mathrm{CuCl}_{2}\) c. \(\mathrm{O}_{2}\) d. \(\mathrm{H}_{2} \mathrm{O}_{2}\) e. \(C_{6} H_{12} O_{6}\) f .\(\mathrm {Ag} \) g. \(\mathrm{PbSO}_{4}\) h. \(\mathrm{PbO}_{2}\) i. \(\quad \mathrm{Na}_{2} \mathrm{C}_{2} \mathrm{O}_{4}\) j . \(\mathrm{CO}_{2}\) k. \(\left(\mathrm{NH}_{4}\right)_{2} \mathrm{Ce}\left(\mathrm{SO}_{4}\right)_{3}\) 1\. \(\mathrm{Cr}_{2} \mathrm{O}_{3}\)

Short Answer

Expert verified
The oxidation numbers for the atoms in each compound are as follows: a. HNO3: H(+1), N(+5), O(-2) b. CuCl2: Cu(+2), Cl(-1) c. O2: O(0) d. H2O2: H(+1), O(-1) e. C6H12O6: C(0), H(+1), O(-2) f. Ag: Ag(0) g. PbSO4: Pb(+2), S(+6), O(-2) h. PbO2: Pb(+4), O(-2) i. Na2C2O4: Na(+1), C(+3), O(-2) j. CO2: C(+4), O(-2) k. (NH4)2Ce(SO4)3: N(-3), H(+1), Ce(+3), S(+6), O(-2) l. Cr2O3: Cr(+3), O(-2)

Step by step solution

01

a. Assign oxidation numbers in \(\mathrm{HNO}_{3}\)

We have a hydrogen, a nitrogen, and three oxygen atoms. 1. The oxidation number of hydrogen is +1. 2. The oxidation number of oxygen is -2. 3. We know that the sum of oxidation numbers must be equal to 0 (for a neutral molecule). Let's represent the oxidation number of nitrogen as x: +1 + x + 3(-2) = 0 Now, solve for x: x = +5 Thus, the oxidation numbers are: H: +1 N: +5 O: -2
02

b. Assign oxidation numbers in \(\mathrm{CuCl}_{2}\)

We have a copper (Cu) atom and two chlorine (Cl) atoms. 1. The oxidation number of chlorine in a compound is usually -1. 2. As there are two Cl atoms, their combined oxidation number is -2. 3. Let x be the oxidation number of Cu: x + 2(-1) = 0 Now, solve for x: x = +2 Thus, the oxidation numbers are: Cu: +2 Cl: -1
03

c. Assign oxidation numbers in \(\mathrm{O}_{2}\)

As this is an elemental form of oxygen, the oxidation number is 0.
04

d. Assign oxidation numbers in \(\mathrm{H}_{2}\mathrm{O}_{2}\)

We have two hydrogen atoms and two oxygen atoms. 1. The oxidation number of hydrogen is +1. 2. Unlike most oxygen-containing compounds, in \(\mathrm{H}_{2}\mathrm{O}_{2}\), the oxidation number of oxygen is -1. 3. Let's check the sum of oxidation numbers: 2(+1) + 2(-1) = 0, which is correct for a neutral molecule. Thus, the oxidation numbers are: H: +1 O: -1
05

e. Assign oxidation numbers in \(C_{6}H_{12}O_{6}\)

We have six carbon atoms, twelve hydrogen atoms, and six oxygen atoms. 1. The oxidation number of hydrogen is +1. 2. The oxidation number of oxygen is -2. 3. Let x be the oxidation number of carbon: 6x + 12(+1) + 6(-2) = 0 Now, solve for x: x = 0 Thus, the oxidation numbers are: C: 0 H: +1 O: -2
06

f. Assign oxidation numbers in \(\mathrm{Ag}\)

As this is an elemental form of silver, the oxidation number is 0.
07

g. Assign oxidation numbers in \(\mathrm{PbSO}_{4}\)

We have a lead (Pb) atom, a sulfur (S) atom, and four oxygen atoms. 1. The oxidation number of sulfur in a sulfate ion is +6. 2. The oxidation number of oxygen is -2. 3. Let x be the oxidation number of Pb: x + (+6) + 4(-2) = 0 Now, solve for x: x = +2 Thus, the oxidation numbers are: Pb: +2 S: +6 O: -2
08

h. Assign oxidation numbers in \(\mathrm{PbO}_{2}\)

We have a lead (Pb) atom and two oxygen atoms. 1. The oxidation number of oxygen is -2. 2. Let x be the oxidation number of Pb: x + 2(-2) = 0 Now, solve for x: x = +4 Thus, the oxidation numbers are: Pb: +4 O: -2
09

i. Assign oxidation numbers in \(\mathrm{Na}_{2}\mathrm{C}_{2}\mathrm{O}_{4}\)

We have two sodium atoms, two carbon atoms, and four oxygen atoms. 1. The oxidation number of sodium is +1. 2. The oxidation number of oxygen is -2. 3. Let x be the oxidation number of carbon: 2(+1) + 2x + 4(-2) = 0 Now, solve for x: x = +3 Thus, the oxidation numbers are: Na: +1 C: +3 O: -2
10

j. Assign oxidation numbers in \(\mathrm{CO}_{2}\)

We have a carbon atom and two oxygen atoms. 1. The oxidation number of oxygen is -2. 2. Let x be the oxidation number of carbon: x + 2(-2) = 0 Now, solve for x: x = +4 Thus, the oxidation numbers are: C: +4 O: -2
11

k. Assign oxidation numbers in \(\left(\mathrm{NH}_{4}\right)_{2}\mathrm{Ce}\left(\mathrm{SO}_{4}\right)_{3}\)

We have N, H, Ce, S, and O atoms 1. The oxidation number of hydrogen is +1. 2. The oxidation number of sulfur in a sulfate ion is +6. 3. The oxidation number of oxygen is -2. 4. Let x and y be the oxidation numbers of nitrogen (N) and cerium (Ce) respectively: +1 + x + 2y + 6(+6) + 12(-2) = 0 Now, solve for x and y From the ammonium ions (NH4): x+(1) * 4 = +1 (ammonium charge is +1); x = -3 From the sulfate ions (SO4): -2+(6) * 3 = -2 (sulfate charge is -2); y = +3 Thus, the oxidation numbers are: N: -3 H: +1 Ce: +3 S: +6 O: -2
12

l. Assign oxidation numbers in \(\mathrm{Cr}_{2}\mathrm{O}_{3}\)

We have two chromium (Cr) atoms and three oxygen atoms. 1. The oxidation number of oxygen is -2. 2. Let x be the oxidation number of Cr: 2x + 3(-2) = 0 Now, solve for x: x = +3 Thus, the oxidation numbers are: Cr: +3 O: -2

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