AP Chemistry Review Sheet Electrochemistry Chapter 17 BASIC TERMS: CELLS: oxidation, reduction, agents, cathode, anode, E°red, E°ox, E°tot Voltaic or galvanic <energy producing> E°tot + Electrolytic <energy using> E°tot - DIAGRAM CELL & NOTATION: flow of e- and ions What happens at the anode-cathode USING E°red TABLE: Find E°tot - standard conditions Strengths of agents, what reaction occur EQUATIONS: ΔG°(kJ) = -96.5 n E°tot ln K = n E°tot @ 25 °C 0.0257 CONC. EFFECT ON VOLTAGE: LeChatelier’s (Qualitative) Nernst (Quantitative) Solve for E or con. COUNT ELECTRONS:1 coulomb = 1 amp•sec 1 mole e- = 96,485 C Use reaction to find amount plated (mole ratio) (Over for practice problems) PRACTICE: • An electrolytic cell contains a solution of Cr(NO3)3. Assume that chromium metal plates out at one electrode and oxygen gas is evolved at the other electrode. a. Write the anode half-reaction, the cathode half-reaction, and the overall reaction for the cell. b. How long will it take to deposit 15.0 g of chromium metal, using a current of 4.50 A? c. A current of 4.50 A is passed through the cell for 30.0 min. If we start out with 250 mL of 1.00 M Cr(NO3)3, what is the concentration of Cr3+ after electrolysis? The pH of the solution? Assume 100% current efficiency and no change in volume during electrolysis. A voltaic cell consists of two half-cells, one of which contains a Pt electrode surrounded by Cr3+ and Cr2O72- ions. The other half-cell contains a Pt electrode surrounded by Mn2+ ions and MnO2 (s). Assume the cell reaction, which produces a positive voltage, involves both Cr3+ and Mn2+ ions. d. e. f. g. Write the anode half rxn, the cathode half-rxn, and the overall equation for the cell. Write the cell description in abbreviated notation. Calculate E°tot for the cell For the redox reaction in (d), calculate K and _G°. h. Calculate the voltage of the cell when all ionic species except H+ have a concentration of 0.300 M and the solution has a pH of 3.5. ANSWERS: a. anode: Cr3+ (aq) + 3 e - <==> Cr (s) cathode: 2 H2O2 <==> 4 H+ (aq) + O2 (g) + 4 e overall: 4 Cr3+ (aq) + 6 H2O <==> 4 Cr (s) + 12 H+ (aq) + 3 O2 (g) b. 5.15 h c. 0.888 M Cr(NO3) 3; pH = 0.47 d. e. f. g. h. anode: Mn2+ (aq) + 2 H2O <==> MnO2 (s) + 4 H+ (aq) + 2 e cathode: Cr2O7 2- (aq) + 14 H+ (aq) + 6 e - <==> 2 Cr3+ (aq) + 7 H2O overall: 3 Mn2+ (aq) + Cr2O7 2- (aq) + 2 H+ (aq) <==> 2 Cr3+ (aq) + 3 MnO2 (s) + H2O (Pt)Mn2+/MnO2||(Pt) Cr2O7 2-/Cr3+ 0.10 V K = 1.4 x 1010; G° = - 58 kJ 0.02 V
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