Electrochemistry – Overview

Electrochemistry is the branch of chemistry that deals with the relationship between electrical energy and chemical reactions. It primarily focuses on redox (reduction–oxidation) reactions, where electrons are transferred between species. These reactions can either generate electricity, as in galvanic (voltaic) cells, or consume electricity to drive non-spontaneous reactions, as in electrolytic cells. Understanding electrochemistry is essential in fields such as energy storage, corrosion prevention, electroplating, and battery technology.

A key concept in electrochemistry is the electrochemical cell, which consists of two electrodes (anode and cathode) and an electrolyte. At the anode, oxidation occurs, while reduction takes place at the cathode. The flow of electrons through an external circuit generates electric current. The potential difference between electrodes is measured as cell potential (EMF), which determines whether a reaction is spontaneous. The Nernst equation is widely used to calculate cell potential under non-standard conditions, incorporating concentration, temperature, and number of electrons transferred.

Electrochemistry also involves important quantitative relationships governed by Faraday’s laws of electrolysis. These laws relate the amount of substance produced or consumed at electrodes to the quantity of electricity passed. Concepts such as conductivity, molar conductivity, and ionic mobility are crucial in understanding how electrolytes behave in solution. Applications of electrochemistry are vast, including batteries, fuel cells, electrolysis processes, corrosion control, and modern energy systems like supercapacitors.

100 Electrochemistry Numerical Problems with Answers

Section A: Basic Concepts (1–20)

  1. Calculate charge passed by 2 A current in 5 s.
    Ans: 10 C
  2. How many electrons in 1 C?
    Ans: 6.25×10186.25 \times 10^{18}
  3. Charge for 2 mol electrons?
    Ans: 193000 C
  4. Faraday constant value?
    Ans: 96500 C/mol
  5. Current for 100 C in 10 s?
    Ans: 10 A
  6. Time for 500 C at 5 A?
    Ans: 100 s
  7. Charge for 0.5 mol electrons?
    Ans: 48250 C
  8. Current if 200 C in 20 s?
    Ans: 10 A
  9. Time for 96500 C at 1 A?
    Ans: 96500 s
  10. Charge for 3 A in 2 min?
    Ans: 360 C
  11. 1 F equals?
    Ans: 96500 C
  12. Charge for 1 mol electrons?
    Ans: 96500 C
  13. Current for 300 C in 30 s?
    Ans: 10 A
  14. Time for 1000 C at 2 A?
    Ans: 500 s
  15. Charge passed in 4 A for 25 s?
    Ans: 100 C
  16. Current for 400 C in 40 s?
    Ans: 10 A
  17. Charge for 1.5 mol electrons?
    Ans: 144750 C
  18. Time for 200 C at 4 A?
    Ans: 50 s
  19. Current for 600 C in 60 s?
    Ans: 10 A
  20. Charge in 10 A for 10 s?
    Ans: 100 C

Section B: Faraday’s Laws (21–50)

  1. Mass of Ag deposited by 96500 C?
    Ans: 108 g
  2. Cu deposited by 193000 C (n=2)?
    Ans: 63.5 g
  3. Al deposited by 289500 C (n=3)?
    Ans: 27 g
  4. Zn deposited by 193000 C?
    Ans: 65.4 g
  5. Charge for 1 g Ag?
    Ans: 893 C
  6. Mass Cu by 96500 C?
    Ans: 31.75 g
  7. Ag deposited by 48250 C?
    Ans: 54 g
  8. Mass Fe by 193000 C (n=2)?
    Ans: 55.8 g
  9. Charge for 2 g Cu?
    Ans: 6079 C
  10. Mass Zn by 96500 C?
    Ans: 32.7 g
  11. Al by 96500 C?
    Ans: 9 g
  12. Charge for 10 g Ag?
    Ans: 8935 C
  13. Mass Cu by 48250 C?
    Ans: 15.9 g
  14. Zn by 48250 C?
    Ans: 16.35 g
  15. Fe by 96500 C?
    Ans: 27.9 g
  16. Charge for 5 g Al?
    Ans: 5350 C
  17. Cu by 289500 C?
    Ans: 95.25 g
  18. Ag by 193000 C?
    Ans: 216 g
  19. Zn by 289500 C?
    Ans: 98.1 g
  20. Fe by 289500 C?
    Ans: 83.7 g
  21. Charge for 1 mol Cu?
    Ans: 193000 C
  22. Ag by 1 F?
    Ans: 108 g
  23. Zn by 1 F?
    Ans: 32.7 g
  24. Cu by 2 F?
    Ans: 63.5 g
  25. Fe by 2 F?
    Ans: 55.8 g
  26. Al by 3 F?
    Ans: 27 g
  27. Zn by 2 F?
    Ans: 65.4 g
  28. Ag by 0.5 F?
    Ans: 54 g
  29. Cu by 0.5 F?
    Ans: 15.9 g
  30. Fe by 0.5 F?
    Ans: 13.95 g

Section C: EMF and Nernst Equation (51–80)

  1. EMF if E° = 1.1 V?
    Ans: 1.1 V
  2. EMF for Daniell cell?
    Ans: 1.10 V
  3. If [Zn²⁺]=1M, [Cu²⁺]=1M?
    Ans: 1.10 V
  4. EMF if [Zn²⁺]=0.1, [Cu²⁺]=1?
    Ans: 1.13 V
  5. EMF if [Zn²⁺]=1, [Cu²⁺]=0.1?
    Ans: 1.07 V
  6. EMF at equilibrium?
    Ans: 0 V
  7. n value for Zn-Cu cell?
    Ans: 2
  8. Log 10 value?
    Ans: 1
  9. EMF if Q=1?
    Ans:
  10. EMF decreases with?
    Ans: Increase in Q
  11. EMF increases with?
    Ans: Decrease in Q
  12. EMF at high temp?
    Ans: Slight change
  13. E° cell formula?
    Ans: Cathode − Anode
  14. Sign of spontaneous EMF?
    Ans: Positive
  15. EMF if Q>1?
    Ans: Decreases
  16. EMF if Q<1?
    Ans: Increases
  17. Standard condition temp?
    Ans: 298 K
  18. Nernst factor at 298K?
    Ans: 0.0591
  19. Unit of EMF?
    Ans: Volt
  20. Relation EMF & ΔG?
    Ans: Negative
  21. ΔG sign for spontaneous?
    Ans: Negative
  22. EMF at equilibrium?
    Ans: Zero
  23. n for Ag⁺ → Ag?
    Ans: 1
  24. n for Al³⁺ → Al?
    Ans: 3
  25. EMF for non-spontaneous?
    Ans: Negative
  26. Effect of concentration?
    Ans: Changes EMF
  27. Standard EMF symbol?
    Ans:
  28. Unit of ΔG?
    Ans: J
  29. Relation ΔG =?
    Ans: −nFE
  30. EMF for electrolytic cell?
    Ans: Negative

Section D: Conductance (81–100)

  1. Unit of conductance?
    Ans: Siemens
  2. Unit of conductivity?
    Ans: S cm⁻¹
  3. Molar conductivity unit?
    Ans: S cm² mol⁻¹
  4. Conductance inverse of?
    Ans: Resistance
  5. Resistance unit?
    Ans: Ohm
  6. Conductivity increases with dilution?
    Ans: Yes
  7. Molar conductivity increases?
    Ans: Yes
  8. Strong electrolyte dissociation?
    Ans: Complete
  9. Weak electrolyte dissociation?
    Ans: Partial
  10. Kohlrausch law applies to?
    Ans: Weak electrolytes
  11. Conductivity depends on?
    Ans: Ions
  12. Temperature effect?
    Ans: Increases conductivity
  13. Cell constant unit?
    Ans: cm⁻¹
  14. Resistance relation?
    Ans: R = ρl/A
  15. Conductivity symbol?
    Ans: κ
  16. Molar conductivity symbol?
    Ans: Λm
  17. Limiting conductivity?
    Ans: Infinite dilution
  18. Ionic mobility increases?
    Ans: With dilution
  19. Conductivity of pure water?
    Ans: Very low
  20. Electrolytes conduct by?
    Ans: Ions
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