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Electrochemistry
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Oxidation Reduction Reactions (1) Oxidation: Loss e- Increase in Oxidation Number Zn (s) Zn 2+ + 2e - (2) Reduction: Acceptance of e - Decrease in Oxidation Number Cl 2(g) + 2e - 2Cl - (1) Oxidation: Loss e- Increase in Oxidation Number Zn (s) Zn 2+ + 2e - (2) Reduction: Acceptance of e - Decrease in Oxidation Number Cl 2(g) + 2e - 2Cl -
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Balancing Oxidation-Reduction Equations: Use Half-Reaction Method Use Half-Reaction Method The half-reactions for Sn 2+ (aq) + 2Fe 3+ (aq) Sn 4+ (aq) + 2Fe 3+ (aq) are Sn 2+ (aq) Sn 4+ (aq) +2e - 2Fe 3+ (aq) + 2e - 2Fe 2+ (aq) Oxidation Half-Reaction: electrons are products. Reduction Half-Reaction: electrons are reactants.
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Half-Reaction Method for Balancing Oxidation-Reduction Equations 1. Separate the equation into the two half-reactions. Write down the two half reactions. 2. Balance each half reaction: a. First balance all elements other than H and O. b. Then balance O by adding water. c. Then balance H by adding H + if have acidic solution. d. Finish by balancing charge by adding electrons.
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3. Multiply each half reaction to make the number of electrons equal. 4. Add the two half-reactions and simplify. To simplify, remove components common to both reactant and product sides. 5. Check!
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Example Balance: (acidic) MnO 4 - (aq) + Fe 2+ (aq) Mn 2+ (aq) + Fe 3+ (aq) 1.The two incomplete half reactions are MnO 4 - (aq) Mn 2+ (aq) Fe 2+ (aq) Fe 3+ (aq)
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MnO 4 - Mn 2+ + 4 H2O 2. Balance each half reaction: Fe 2+ (aq) Fe 3+ (aq)
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MnO 4 - + 5e - Mn 2+ + 4 H2O Fe 2+ (aq) Fe 3+ (aq) + e -
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8H + + MnO 4 - + 5e - Mn 2+ + 4 H2O Fe 2+ (aq) Fe 3+ (aq) + e -
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8H + + MnO 4 - + 5e - Mn 2+ + 4 H2O 5 (Fe 2+ (aq) Fe 3+ (aq) + e - )
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8H + + MnO 4 - + 5e - Mn 2+ + 4 H2O 5 (Fe 2+ (aq) Fe 3+ (aq) + e - ) 8H + + MnO 4 - + 5 Fe 2+ (aq) Mn 2+ + 4 H2O + 5Fe 3+ (aq)
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Example Balance: (basic) MnO 4 - (aq) + I - (aq) MnO 2 + I 2 1.The two incomplete half reactions are MnO 4 - (aq) MnO 2 I - (aq) I 2
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2. Balance each half reaction: MnO 4 - (aq) + 3e - MnO 2 2I - (aq) I 2 + 2e -
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MnO 4 - (aq) + 3e - MnO 2 + 4OH - 2I - (aq) I 2 + 2e -
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2H 2 O + MnO 4 - (aq) + 3e - MnO 2 + 4OH - 2I - (aq) I 2 + 2e -
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2 (2H 2 O + MnO 4 - (aq) + 3e - MnO 2 + 4OH - ) 3 (2I - (aq) I 2 + 2e - ) 4H 2 O + 6I - (aq) + MnO4-(aq) 2MnO2 + 8OH- + 3I 2
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Problem Complete and balance the following equations, and identify the oxidizing and reducing agents Cr2O72- (aq) + I-(aq) Cr3+(aq) + IO3-(aq) (acidic solution) Pb(OH)42- (aq) + ClO- (aq) PbO2(s) + Cl-(aq) (basic solution)
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ZnCu
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salt bridge (K + ) Cation flow → (Cl - ) flow ←
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Brief Activity Series
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Strong Reducing Agent.
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Strong Oxidizing Agent
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How many moles of Cu can be plated out of a solution containing Cu 2+ ions if a 1.50 amp current is passed through for 300 s? Cu 2+ + 2e - → Cu (s) Notes: 1 amp = C/s F = 9.65 x 10 4 c/ mole e - Find: c → moles e - s → moles Cu = moles Cu 1.50 c s 300 s mole e - 9.65 x 10 4 C 1 mole Cu 2 mole e - s 2.33 x 10 -3
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Effect of Concentration on EMF A Battery going dead. ∆G = ∆G o + RT lnQ -nFE = -nFE o + RT ln Q Dividing by –nF gives Rise to the Nerst Equation.
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The Nerst Equation: Q: aA + bB ↔ cC + dD n = # of e - s transferred
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The Nerst Equation allows us to find voltage under nonstandard conditions Example: Determine E (voltage) for: Fe(s) + Cd 2+ (aq) → Fe 2+ (aq) + Cd(s) When [Fe 2+ ] = 0.10 M and [Cd 2+ ] = 1.0 M @ 298K Half RXNs: Fe(s) → Fe 2+ + 2e - E o = +0.44 V Cd 2+ + 2e - → Cd(s) E o = -0.40 V E o = +0.04 V + Value means spontaneous
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Now try: [Fe 2+ ] = 1.0 M and [Cd 2+ ] = 0.01 M @ 298K - Value means non spontaneous and will go in opposite direction
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What does an E = 0 value mean? For: Fe(s) + Cd 2+ (aq) → Fe 2+ (aq) + Cd(s) E o = +0.04V K = 22
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The pray graet Dariush in Takht-e-jamshid My god preservation this country ( Iran ) from ENEMY, FALSE and ARID YEAR
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