Electrochemistry Exam Questions and Solutions – Overview

Electrochemistry is the branch of chemistry that studies the relationship between chemical reactions and electrical energy. It primarily deals with oxidation-reduction (redox) reactions, where electrons are transferred between species. These reactions occur in electrochemical cells, which are of two main types: galvanic (voltaic) cells that generate electricity from spontaneous reactions, and electrolytic cells that use electrical energy to drive non-spontaneous reactions. Key concepts include electrode potentials, standard reduction potentials, and the electrochemical series, which helps predict the feasibility of redox reactions.

Another important aspect of electrochemistry is the Nernst equation, which relates the electrode potential to the concentration of reactants and products. This allows us to calculate cell potentials under non-standard conditions. Additionally, electrochemistry plays a crucial role in understanding batteries, corrosion, electroplating, and fuel cells. Concepts like Faraday’s laws of electrolysis help quantify the amount of substance deposited or liberated during electrolysis based on the charge passed.

Electrochemistry is widely applied in industries and daily life. It is essential in designing energy storage systems like lithium-ion batteries, preventing corrosion of metals, and in analytical techniques such as potentiometry. Mastery of numerical problem-solving in electrochemistry is vital for exams, as it involves applying formulas related to EMF, Gibbs free energy, equilibrium constants, and electrolysis calculations.

100 Practice Numerical Problems with Answers

Section A: Basic Concepts (1–20)

  1. Calculate EMF if E°cell = 1.10 V → Answer: 1.10 V
  2. Convert 2 Faraday into charge → Answer: 193000 C
  3. Charge required for 1 mole electrons → Answer: 96500 C
  4. EMF when cathode = 0.34 V, anode = –0.76 V → Answer: 1.10 V
  5. ΔG° for n=2, E°=1.1 V → Answer: –212.3 kJ
  6. Oxidation number change in Zn → Answer: +2
  7. Faradays for 2 mol electrons → Answer: 2 F
  8. Voltage of Daniell cell → Answer: 1.10 V
  9. Standard hydrogen electrode potential → Answer: 0 V
  10. Cell potential if both electrodes equal → Answer: 0 V
  11. Unit of EMF → Answer: Volt
  12. Charge of 0.5 mol electrons → Answer: 48250 C
  13. n-factor of Cu²⁺ → Cu → Answer: 2
  14. Number of electrons in Fe³⁺ → Fe²⁺ → Answer: 1
  15. Faraday constant → Answer: 96500 C/mol
  16. Cathode reaction in Daniell cell → Answer: Cu²⁺ + 2e⁻ → Cu
  17. Anode reaction → Answer: Zn → Zn²⁺ + 2e⁻
  18. Sign of ΔG for spontaneous → Answer: Negative
  19. Relation ΔG and E → Answer: ΔG = –nFE
  20. Units of ΔG → Answer: Joules

Section B: Nernst Equation (21–40)

  1. EMF at 298K, n=1, Q=10 → Answer: E = E° – 0.059
  2. Log(1) → Answer: 0
  3. If Q=1, E= → Answer: E°
  4. EMF when Q=100 → Answer: E° – 0.118 V
  5. If E°=1V, Q=10 → Answer: 0.941 V
  6. Temperature constant (298K) → Answer: 0.0591
  7. If n=2, constant → Answer: 0.0295
  8. EMF decreases when Q → Answer: Increases
  9. Equilibrium EMF → Answer: 0
  10. If Q=K → Answer: E=0
  11. log10 = → Answer: 1
  12. log100 = → Answer: 2
  13. Effect of concentration increase → Answer: EMF changes
  14. Nernst equation unit → Answer: Volt
  15. E when Q very small → Answer: High
  16. E when Q large → Answer: Low
  17. n increases → effect → Answer: Smaller change
  18. Temperature increases → Answer: EMF changes
  19. Standard condition temp → Answer: 298K
  20. Gas constant value → Answer: 8.314 J/mol·K

Section C: Electrolysis (41–70)

  1. Charge for 1 mol Ag deposition → Answer: 96500 C
  2. Ag⁺ + e⁻ → Ag, n= → Answer: 1
  3. Cu²⁺ needs electrons → Answer: 2
  4. Mass deposited formula → Answer: m = ZIt
  5. Z unit → Answer: g/C
  6. Current unit → Answer: Ampere
  7. 1 A for 1 sec → charge → Answer: 1 C
  8. 2 A for 10 s → Answer: 20 C
  9. 96500 C deposits Ag → Answer: 108 g
  10. 48250 C deposits Ag → Answer: 54 g
  11. Equivalent weight of Cu → Answer: 31.75
  12. m ∝ Q → Answer: True
  13. m ∝ I → Answer: True
  14. m ∝ t → Answer: True
  15. Faraday law number → Answer: 2
  16. Electrolysis is → Answer: Non-spontaneous
  17. Cathode reaction → Answer: Reduction
  18. Anode reaction → Answer: Oxidation
  19. Gas evolved depends on → Answer: Electrolyte
  20. H₂ formed requires → Answer: 2 electrons
  21. O₂ formation electrons → Answer: 4
  22. Charge for O₂ (1 mol) → Answer: 386000 C
  23. 1F deposits → Answer: 1 equivalent
  24. Electroplating uses → Answer: Electrolysis
  25. Unit of Z → Answer: g/C
  26. Efficiency formula → Answer: Actual/Theoretical ×100
  27. Current density unit → Answer: A/m²
  28. Time unit → Answer: sec
  29. Coulomb definition → Answer: Charge unit
  30. Electrolyte conducts via → Answer: Ions

Section D: Advanced Numericals (71–100)

  1. ΔG = –nFE, n=1, E=1 → Answer: –96500 J
  2. ΔG for n=2, E=1.5 → Answer: –289500 J
  3. K from E°=1 → Answer: ~10¹⁷
  4. logK relation → Answer: nE°/0.059
  5. If E°=0 → Answer: K=1
  6. E° positive → Answer: K>1
  7. E° negative → Answer: K<1
  8. Corrosion is → Answer: Electrochemical
  9. Rusting involves → Answer: Fe oxidation
  10. Fuel cell converts → Answer: Chemical to electrical
  11. Battery stores → Answer: Electrical energy
  12. Lead-acid battery voltage → Answer: 2 V
  13. Dry cell voltage → Answer: 1.5 V
  14. Lithium battery voltage → Answer: ~3.7 V
  15. EMF unit → Answer: Volt
  16. Internal resistance unit → Answer: Ohm
  17. Ohm’s law → Answer: V=IR
  18. Conductivity unit → Answer: S/m
  19. Resistivity unit → Answer: Ω·m
  20. Specific conductance symbol → Answer: κ
  21. Molar conductance unit → Answer: S·cm²/mol
  22. Kohlrausch law applies → Answer: Strong electrolytes
  23. Degree of dissociation → Answer: α
  24. Weak electrolyte α increases with → Answer: Dilution
  25. Conductance increases with → Answer: Temperature
  26. Ionic mobility unit → Answer: cm²/V·s
  27. Transference number sum → Answer: 1
  28. Cathode gain mass → Answer: Positive
  29. Anode loses mass → Answer: True
  30. EMF independent of → Answer: Size of electrodes
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