Electrochemistry worksheet covering oxidation numbers, redox reactions, and identifying oxidizing and reducing agents.
Chemistry worksheet titled "Electrochemistry" with four sections: determining oxidation numbers, assigning oxidation numbers in unbalanced equations, identifying redox reactions, and indicating oxidizing and reducing agents.
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Step-by-step solution for: Worksheet #2. Oxidation Numbers Worksheet #2
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Show Answer Key & Explanations
Step-by-step solution for: Worksheet #2. Oxidation Numbers Worksheet #2
Let’s go step by step through each question. I’ll explain clearly so you can follow along and understand how to find oxidation numbers, identify redox reactions, and spot oxidizing/reducing agents.
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We use these rules:
- Element alone (like S₈) → oxidation number = 0
- For ions, total charge = sum of oxidation numbers
- Oxygen is usually -2 (except in peroxides like H₂O₂ or with fluorine)
- Hydrogen is +1 when bonded to nonmetals, -1 when bonded to metals
- Alkali metals (Group 1) are always +1
- Halogens (F, Cl, Br, I) are usually -1 unless with oxygen or more electronegative element
Let’s solve each:
a) S₈
Sulfur is an element by itself → oxidation number = 0
b) NO₂⁻
Bold is N. Let x = oxidation number of N.
Oxygen = -2 each → 2 × (-2) = -4
Total charge = -1
So: x + (-4) = -1 → x = +3
c) CrO₄²⁻
Bold is Cr. Let x = Cr
Oxygen = -2 × 4 = -8
Total charge = -2
x + (-8) = -2 → x = +6
d) Cr₂O₇²⁻
Bold is Cr. Two Cr atoms → let each be x
Oxygen = -2 × 7 = -14
Total charge = -2
2x + (-14) = -2 → 2x = 12 → x = +6
e) KMnO₄
Bold is Mn. K = +1, O = -2 × 4 = -8
Total compound neutral → +1 + x + (-8) = 0 → x = +7
f) Na₃⁻
Wait — this looks odd. Sodium doesn’t form Na₃⁻ ion. Probably typo? Maybe it’s N³⁻? But it says “Na₃⁻” — if we take it literally:
Three Na atoms, total charge -1. Each Na normally +1, but here they’re in a weird ion.
Assume all Na same oxidation state: 3x = -1 → x = -1/3
But that’s unusual. Likely meant N³⁻ (nitride ion). If it’s N³⁻, then N = -3
I think it’s a typo — probably N³⁻, so answer = -3
*(Note: In real chemistry, Na₃⁻ isn’t standard. We’ll assume it’s N³⁻ for sense.)*
g) C₂H₆
Bold is C. H = +1 each → 6 × (+1) = +6
Compound neutral → 2x + 6 = 0 → 2x = -6 → x = -3
h) KHSO₃
Bold is S. K = +1, H = +1, O = -2 × 3 = -6
Total neutral: +1 +1 + x + (-6) = 0 → x -4 = 0 → x = +4
i) Al(OH)₄⁻
Bold is Al. OH group: O = -2, H = +1 → each OH = -1
Four OH groups → 4 × (-1) = -4
Total charge = -1
So: x + (-4) = -1 → x = +3
j) S₂F₁₀
Bold is S. F = -1 each → 10 × (-1) = -10
Neutral molecule → 2x + (-10) = 0 → 2x = 10 → x = +5
k) N₂O₃
Bold is N. O = -2 × 3 = -6
Neutral → 2x + (-6) = 0 → 2x = 6 → x = +3
l) Na₂MnO₄
Bold is Mn. Na = +1 × 2 = +2, O = -2 × 4 = -8
Neutral: +2 + x + (-8) = 0 → x -6 = 0 → x = +6
m) N₂H₅⁺
Bold is N. H = +1 × 5 = +5
Total charge = +1
2x + 5 = 1 → 2x = -4 → x = -2
n) Li₂O₂
Bold is O. This is lithium peroxide. Peroxide rule: O = -1 each
Check: Li = +1 × 2 = +2, O₂ = 2 × (-1) = -2 → total 0 ✔️
o) HCO₃⁻
Bold is C. H = +1, O = -2 × 3 = -6
Total charge = -1
+1 + x + (-6) = -1 → x -5 = -1 → x = +4
p) K₂UO₄
Bold is U. K = +1 × 2 = +2, O = -2 × 4 = -8
Neutral: +2 + x + (-8) = 0 → x -6 = 0 → x = +6
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Oxidation = increase in oxidation number (loss of electrons)
a) ClO₂ + C → ClO₂⁻ + CO²⁻
Bold: Cl in ClO₂, C in C, Cl in ClO₂⁻, C in CO₃²⁻
Cl in ClO₂: O = -2 × 2 = -4 → Cl = +4
C in C (element) = 0
Cl in ClO₂⁻: O = -4, total charge -1 → Cl = +3
C in CO₃²⁻: O = -6, total -2 → C = +4
Changes:
Cl: +4 → +3 → reduced
C: 0 → +4 → oxidized ← this one undergoes oxidation
b) Sn²⁺ + Cl⁻ + BrO₃⁻ → SnCl₆²⁻ + Br⁻
Bold: Sn in Sn²⁺, Br in BrO₃⁻, Sn in SnCl₆²⁻, Br in Br⁻
Sn²⁺ = +2
Br in BrO₃⁻: O = -6, total -1 → Br = +5
Sn in SnCl₆²⁻: Cl = -1 × 6 = -6, total -2 → Sn = +4
Br in Br⁻ = -1
Changes:
Sn: +2 → +4 → oxidized ← oxidation
Br: +5 → -1 → reduced
c) MnO₄⁻ + C₂O₄²⁻ → MnO₂ + CO₂
Bold: Mn in MnO₄⁻, C in C₂O₄²⁻, Mn in MnO₂, C in CO₂
Mn in MnO₄⁻: O = -8, total -1 → Mn = +7
C in C₂O₄²⁻: O = -8, total -2 → 2x -8 = -2 → 2x=6 → x=+3
Mn in MnO₂: O = -4 → Mn = +4
C in CO₂: O = -4 → C = +4
Changes:
Mn: +7 → +4 → reduced
C: +3 → +4 → oxidized ← oxidation
d) NO₃⁻ + H₂Te → NO + TeO₄²⁻
Bold: N in NO₃⁻, Te in H₂Te, N in NO, Te in TeO₄²⁻
N in NO₃⁻: O = -6, total -1 → N = +5
Te in H₂Te: H = +1 × 2 = +2 → Te = -2
N in NO: O = -2 → N = +2
Te in TeO₄²⁻: O = -8, total -2 → Te = +6
Changes:
N: +5 → +2 → reduced
Te: -2 → +6 → oxidized ← oxidation
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Redox = at least one element changes oxidation number.
a) I₂ + 5HOBr + H₂O → 2IO₃⁻ + 5Br⁻ + 7H⁺
I₂: 0 → IO₃⁻: I = +5 (since O=-6, total -1 → I=+5) → oxidized
Br in HOBr: H=+1, O=-2 → Br=+1 → Br⁻ = -1 → reduced
→ Redox ✔
b) 4Ag⁺ + Cr₂O₇²⁻ + H₂O → 2Ag₂CrO₄ + 2H⁺
Ag⁺ = +1 → Ag in Ag₂CrO₄: still +1 (chromate ion CrO₄²⁻, so Ag must be +1)
Cr in Cr₂O₇²⁻: 2x -14 = -2 → x=+6
Cr in CrO₄²⁻: x -8 = -2 → x=+6 → no change
No oxidation number change → NOT redox ✘
c) KHCO₃ + HI → KI + CO₂ + H₂O
K: +1 everywhere
H: +1 everywhere
C: in HCO₃⁻: H=+1, O=-6, total -1 → C=+4; in CO₂: C=+4 → no change
I: in HI = -1, in KI = -1 → no change
→ NOT redox ✘
d) 2H₂O → 2H₂ + O₂
H in H₂O: +1 → H₂: 0 → reduced
O in H₂O: -2 → O₂: 0 → oxidized
→ Redox ✔
e) H₂SO₄ + BaCl₂ → BaSO₄ + 2HCl
All ions just swap partners. No change in oxidation states.
S: +6 in both, Ba: +2, Cl: -1, H: +1, O: -2
→ NOT redox ✘
f) Fe + H₂SO₄ → FeSO₄ + H₂
Fe: 0 → +2 → oxidized
H: +1 → 0 → reduced
→ Redox ✔
✔ So redox reactions: a, d, f
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Oxidizing agent gets reduced (causes oxidation in other)
Reducing agent gets oxidized (causes reduction in other)
a) 2Na(s) + O₂(g) → Na₂O(s)
Na: 0 → +1 → oxidized → reducing agent
O: 0 → -2 → reduced → oxidizing agent
→ Oxidizing agent: O₂
→ Reducing agent: Na
b) Fe(s) + Cu²⁺(aq) → Fe²⁺(aq) + Cu(s)
Fe: 0 → +2 → oxidized → reducing agent
Cu²⁺: +2 → 0 → reduced → oxidizing agent
→ Oxidizing agent: Cu²⁺
→ Reducing agent: Fe
c) Sn⁴⁺(aq) + Fe²⁺(aq) → Sn²⁺(aq) + Fe³⁺(aq)
Sn⁴⁺: +4 → +2 → reduced → oxidizing agent
Fe²⁺: +2 → +3 → oxidized → reducing agent
→ Oxidizing agent: Sn⁴⁺
→ Reducing agent: Fe²⁺
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Final Answer:
1. Oxidation Numbers:
a) 0
b) +3
c) +6
d) +6
e) +7
f) -3 (assuming N³⁻)
g) -3
h) +4
i) +3
j) +5
k) +3
l) +6
m) -2
n) -1
o) +4
p) +6
2. Species undergoing oxidation:
a) C
b) Sn²⁺
c) C in C₂O₄²⁻
d) Te in H₂Te
3. Redox reactions: a, d, f
4. Agents:
a) Oxidizing: O₂; Reducing: Na
b) Oxidizing: Cu²⁺; Reducing: Fe
c) Oxidizing: Sn⁴⁺; Reducing: Fe²⁺
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Question 1: Find oxidation number of the bold atom
We use these rules:
- Element alone (like S₈) → oxidation number = 0
- For ions, total charge = sum of oxidation numbers
- Oxygen is usually -2 (except in peroxides like H₂O₂ or with fluorine)
- Hydrogen is +1 when bonded to nonmetals, -1 when bonded to metals
- Alkali metals (Group 1) are always +1
- Halogens (F, Cl, Br, I) are usually -1 unless with oxygen or more electronegative element
Let’s solve each:
a) S₈
Sulfur is an element by itself → oxidation number = 0
b) NO₂⁻
Bold is N. Let x = oxidation number of N.
Oxygen = -2 each → 2 × (-2) = -4
Total charge = -1
So: x + (-4) = -1 → x = +3
c) CrO₄²⁻
Bold is Cr. Let x = Cr
Oxygen = -2 × 4 = -8
Total charge = -2
x + (-8) = -2 → x = +6
d) Cr₂O₇²⁻
Bold is Cr. Two Cr atoms → let each be x
Oxygen = -2 × 7 = -14
Total charge = -2
2x + (-14) = -2 → 2x = 12 → x = +6
e) KMnO₄
Bold is Mn. K = +1, O = -2 × 4 = -8
Total compound neutral → +1 + x + (-8) = 0 → x = +7
f) Na₃⁻
Wait — this looks odd. Sodium doesn’t form Na₃⁻ ion. Probably typo? Maybe it’s N³⁻? But it says “Na₃⁻” — if we take it literally:
Three Na atoms, total charge -1. Each Na normally +1, but here they’re in a weird ion.
Assume all Na same oxidation state: 3x = -1 → x = -1/3
But that’s unusual. Likely meant N³⁻ (nitride ion). If it’s N³⁻, then N = -3
I think it’s a typo — probably N³⁻, so answer = -3
*(Note: In real chemistry, Na₃⁻ isn’t standard. We’ll assume it’s N³⁻ for sense.)*
g) C₂H₆
Bold is C. H = +1 each → 6 × (+1) = +6
Compound neutral → 2x + 6 = 0 → 2x = -6 → x = -3
h) KHSO₃
Bold is S. K = +1, H = +1, O = -2 × 3 = -6
Total neutral: +1 +1 + x + (-6) = 0 → x -4 = 0 → x = +4
i) Al(OH)₄⁻
Bold is Al. OH group: O = -2, H = +1 → each OH = -1
Four OH groups → 4 × (-1) = -4
Total charge = -1
So: x + (-4) = -1 → x = +3
j) S₂F₁₀
Bold is S. F = -1 each → 10 × (-1) = -10
Neutral molecule → 2x + (-10) = 0 → 2x = 10 → x = +5
k) N₂O₃
Bold is N. O = -2 × 3 = -6
Neutral → 2x + (-6) = 0 → 2x = 6 → x = +3
l) Na₂MnO₄
Bold is Mn. Na = +1 × 2 = +2, O = -2 × 4 = -8
Neutral: +2 + x + (-8) = 0 → x -6 = 0 → x = +6
m) N₂H₅⁺
Bold is N. H = +1 × 5 = +5
Total charge = +1
2x + 5 = 1 → 2x = -4 → x = -2
n) Li₂O₂
Bold is O. This is lithium peroxide. Peroxide rule: O = -1 each
Check: Li = +1 × 2 = +2, O₂ = 2 × (-1) = -2 → total 0 ✔️
o) HCO₃⁻
Bold is C. H = +1, O = -2 × 3 = -6
Total charge = -1
+1 + x + (-6) = -1 → x -5 = -1 → x = +4
p) K₂UO₄
Bold is U. K = +1 × 2 = +2, O = -2 × 4 = -8
Neutral: +2 + x + (-8) = 0 → x -6 = 0 → x = +6
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Question 2: Assign oxidation numbers to bold species and say which undergoes oxidation
Oxidation = increase in oxidation number (loss of electrons)
a) ClO₂ + C → ClO₂⁻ + CO²⁻
Bold: Cl in ClO₂, C in C, Cl in ClO₂⁻, C in CO₃²⁻
Cl in ClO₂: O = -2 × 2 = -4 → Cl = +4
C in C (element) = 0
Cl in ClO₂⁻: O = -4, total charge -1 → Cl = +3
C in CO₃²⁻: O = -6, total -2 → C = +4
Changes:
Cl: +4 → +3 → reduced
C: 0 → +4 → oxidized ← this one undergoes oxidation
b) Sn²⁺ + Cl⁻ + BrO₃⁻ → SnCl₆²⁻ + Br⁻
Bold: Sn in Sn²⁺, Br in BrO₃⁻, Sn in SnCl₆²⁻, Br in Br⁻
Sn²⁺ = +2
Br in BrO₃⁻: O = -6, total -1 → Br = +5
Sn in SnCl₆²⁻: Cl = -1 × 6 = -6, total -2 → Sn = +4
Br in Br⁻ = -1
Changes:
Sn: +2 → +4 → oxidized ← oxidation
Br: +5 → -1 → reduced
c) MnO₄⁻ + C₂O₄²⁻ → MnO₂ + CO₂
Bold: Mn in MnO₄⁻, C in C₂O₄²⁻, Mn in MnO₂, C in CO₂
Mn in MnO₄⁻: O = -8, total -1 → Mn = +7
C in C₂O₄²⁻: O = -8, total -2 → 2x -8 = -2 → 2x=6 → x=+3
Mn in MnO₂: O = -4 → Mn = +4
C in CO₂: O = -4 → C = +4
Changes:
Mn: +7 → +4 → reduced
C: +3 → +4 → oxidized ← oxidation
d) NO₃⁻ + H₂Te → NO + TeO₄²⁻
Bold: N in NO₃⁻, Te in H₂Te, N in NO, Te in TeO₄²⁻
N in NO₃⁻: O = -6, total -1 → N = +5
Te in H₂Te: H = +1 × 2 = +2 → Te = -2
N in NO: O = -2 → N = +2
Te in TeO₄²⁻: O = -8, total -2 → Te = +6
Changes:
N: +5 → +2 → reduced
Te: -2 → +6 → oxidized ← oxidation
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Question 3: Which are redox reactions?
Redox = at least one element changes oxidation number.
a) I₂ + 5HOBr + H₂O → 2IO₃⁻ + 5Br⁻ + 7H⁺
I₂: 0 → IO₃⁻: I = +5 (since O=-6, total -1 → I=+5) → oxidized
Br in HOBr: H=+1, O=-2 → Br=+1 → Br⁻ = -1 → reduced
→ Redox ✔
b) 4Ag⁺ + Cr₂O₇²⁻ + H₂O → 2Ag₂CrO₄ + 2H⁺
Ag⁺ = +1 → Ag in Ag₂CrO₄: still +1 (chromate ion CrO₄²⁻, so Ag must be +1)
Cr in Cr₂O₇²⁻: 2x -14 = -2 → x=+6
Cr in CrO₄²⁻: x -8 = -2 → x=+6 → no change
No oxidation number change → NOT redox ✘
c) KHCO₃ + HI → KI + CO₂ + H₂O
K: +1 everywhere
H: +1 everywhere
C: in HCO₃⁻: H=+1, O=-6, total -1 → C=+4; in CO₂: C=+4 → no change
I: in HI = -1, in KI = -1 → no change
→ NOT redox ✘
d) 2H₂O → 2H₂ + O₂
H in H₂O: +1 → H₂: 0 → reduced
O in H₂O: -2 → O₂: 0 → oxidized
→ Redox ✔
e) H₂SO₄ + BaCl₂ → BaSO₄ + 2HCl
All ions just swap partners. No change in oxidation states.
S: +6 in both, Ba: +2, Cl: -1, H: +1, O: -2
→ NOT redox ✘
f) Fe + H₂SO₄ → FeSO₄ + H₂
Fe: 0 → +2 → oxidized
H: +1 → 0 → reduced
→ Redox ✔
✔ So redox reactions: a, d, f
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Question 4: Identify oxidizing and reducing agents
Oxidizing agent gets reduced (causes oxidation in other)
Reducing agent gets oxidized (causes reduction in other)
a) 2Na(s) + O₂(g) → Na₂O(s)
Na: 0 → +1 → oxidized → reducing agent
O: 0 → -2 → reduced → oxidizing agent
→ Oxidizing agent: O₂
→ Reducing agent: Na
b) Fe(s) + Cu²⁺(aq) → Fe²⁺(aq) + Cu(s)
Fe: 0 → +2 → oxidized → reducing agent
Cu²⁺: +2 → 0 → reduced → oxidizing agent
→ Oxidizing agent: Cu²⁺
→ Reducing agent: Fe
c) Sn⁴⁺(aq) + Fe²⁺(aq) → Sn²⁺(aq) + Fe³⁺(aq)
Sn⁴⁺: +4 → +2 → reduced → oxidizing agent
Fe²⁺: +2 → +3 → oxidized → reducing agent
→ Oxidizing agent: Sn⁴⁺
→ Reducing agent: Fe²⁺
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Final Answer:
1. Oxidation Numbers:
a) 0
b) +3
c) +6
d) +6
e) +7
f) -3 (assuming N³⁻)
g) -3
h) +4
i) +3
j) +5
k) +3
l) +6
m) -2
n) -1
o) +4
p) +6
2. Species undergoing oxidation:
a) C
b) Sn²⁺
c) C in C₂O₄²⁻
d) Te in H₂Te
3. Redox reactions: a, d, f
4. Agents:
a) Oxidizing: O₂; Reducing: Na
b) Oxidizing: Cu²⁺; Reducing: Fe
c) Oxidizing: Sn⁴⁺; Reducing: Fe²⁺
Parent Tip: Review the logic above to help your child master the concept of assigning oxidation numbers worksheet.