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Chemistry · Class 12 Science

Ch 5Electrochemistry — Class 12 Chemistry, concept-first.

Dry cells power our everyday electrical and electronic equipment because a chemical reaction inside them generates electricity — in a dry cell, chemical energy is converted into electrical energy.

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5.1

Introduction

Dry cells power our everyday electrical and electronic equipment because a chemical reaction inside them generates electricity — in a dry cell, chemical energy is converted into electrical energy.

5.2

Electric conduction

Electric current represents a transfer of charge. A charge transfer — a flow of electricity — occurs through substances called conductors.

5.2.1

Metallic conduction

Electrical conduction through a metal involves a direct flow of electrons from one point to the other.

5.2.2

Electrolytic or ionic conduction

Electrolytic conduction involves conduction of electric current by the movement of ions of an electrolyte.

5.2.3

Information provided by measurement of conductivities of solutions

Measurement of the conductivities of solutions provides two kinds of information:

5.3

Electrical conductance of solution

According to Ohm's law, the electrical resistance of a conductor equals the electric potential difference divided by the electric current :

+Can you recall?i1 question
  1. Q1What is the SI unit of resistivity ?Preview
5.3.1

Conductivity (k)

We have seen that and that is directly proportional to length and inversely proportional to cross-sectional area. It therefore follows that is directly proportional to and inversely proportional to :

5.3.2

Molar conductivity (∧)

The electrolytic conductivity is not suitable for comparing conductivities of different solutions: the conductivity of a solution depends on the number of ions present in unit volume of the solution,…

5.3.3

Relation between k and ∧

2 Q

Conductivity is the electrical conductance of of solution. If is the volume of solution in containing 1 mole of dissolved electrolyte, its electrical conductance is .

5.3.4

Variation of conductivity with concentration

The variation of conductivity with concentration follows from what conductivity measures:

5.3.5

Variation of molar conductivity with concentration

The molar conductivity behaves differently from conductivity on dilution:

5.3.6

Variation of molar conductivity with concentration

The variation of molar conductivity with concentration is qualitatively different for strong and weak electrolytes.

5.3.7

Kohlrausch law of independent migration of ions

4 Q

Kohlrausch's law of independent migration of ions states that at infinite dilution each ion migrates independently of its co-ion, and contributes to the total molar conductivity of the electrolyte irr…

5.3.8

Molar conductivity and degree of dissociation of weak electrolytes

The degree of dissociation () of a weak electrolyte is related to its molar conductivity at a given concentration by the equation

5.3.9

Measurement of conductivity

The conductivity of a solution can be determined from resistance measurements by the Wheatstone bridge.

5.4

Electrochemical cells

An electrochemical cell consists of two metal plates or carbon (graphite) rods. These electronic conductors are dipped into an electrolytic or ionic conductor — an aqueous electrolyte solution or a mo…

5.4.1

Electrochemical reactions

The chemical reaction occurring in an electrochemical cell involves transfer of electrons from one species to the other — it is a redox reaction, which we learnt in Standard XI (Chapter 6).

5.4.2

Electrodes

Electrodes are the surfaces on which the oxidation and reduction half reactions take place. Electrodes may or may not participate in the reactions; the electrodes which do not take part in the reactio…

5.4.3

Types of electrochemical cells

There are two types of electrochemical cells.

5.5

Electrolytic cell

An electrolytic cell consists of a container in which an electrolyte is placed. Two electrodes are immersed in the electrolyte and connected to a source of direct current.

5.5.1

Electrolysis of molten NaCl

Construction of cell : The electrolytic cell consists of a container in which fused (molten) NaCl is placed.

5.5.2

Electrolysis of aqueous NaCl

Electrolysis of an aqueous NaCl solution can be carried out in the cell used for the electrolysis of molten NaCl, with inert electrodes (Fig.

5.5.3

Quantitative aspects of electrolysis

a. The mass of reactant consumed or the mass of product formed at an electrode during electrolysis can be calculated by knowing the stoichiometry of the half reaction at the electrode.

5.6

Galvanic or voltaic cell

In galvanic or voltaic cells, electricity is generated through the use of spontaneous chemical reactions.

5.6.1

Salt bridge

In a galvanic cell the two solutions are connected by a salt bridge. It is a U tube containing a saturated solution of an inert electrolyte, such as KCl or , and 5 % agar solution.

5.6.2

Formulation or short notation of galvanic cells

A galvanic cell is represented by a formula or short notation that includes electrodes, aqueous solutions of ions and other species which may or may not be involved in the cell reaction.

5.6.3

Writing of cell reaction

The cell reaction corresponding to a cell notation is written on the assumption that the right hand side electrode is the cathode (+) and the left hand side electrode is the anode (-).

5.7

Electrode potential and cell potential

A galvanic cell is composed of two half cells, each consisting of electronic (metal plates) and electrolytic (solution of ions) conductors in contact.

5.7.1

Standard potentials

The electrode potential and the cell potential depend on the concentrations of solutions, the pressures of gases and the temperature.

5.7.2

Dependence of cell potential on concentration (Nernst equation)

The standard cell potential tells us whether or not the reactants in their standard states form the products in their standard states spontaneously.

5.8

Thermodynamics of galvanic cells

The heading groups two closely related results: how the electrical work obtainable from a galvanic cell relates to the Gibbs energy change of the cell reaction (5.8.1), and how the standard cell poten…

5.8.1

Gibbs energy of cell reactions and cell potential

The electrical work done in a galvanic cell is the electricity (charge) passed multiplied by the cell potential:

5.8.2

Standard cell potential and equilibrium constant

2 Q

The relation between the standard Gibbs energy change of a cell reaction and the standard cell potential is given by Eq. (5.28): .

5.9

Reference electrodes

Every oxidation needs to be accompanied by reduction — the occurrence of only oxidation or only reduction is not possible (refer to the Std. XI Chemistry Textbook, Chapter 6).

5.9.1

Standard hydrogen electrode (SHE)

Construction : SHE consists of a platinum plate coated with platinum black, used as the electrode. This plate is connected to the external circuit through a sealed narrow glass tube containing mercury…

5.10

Galvanic cells useful in day-to-day life

Voltaic (or galvanic) cells in common use can be classified as primary and secondary cells.

5.10.1

Dry cell (Leclanche' cell)

The dry cell is a cell without a liquid component — but the electrolyte is not completely dry: it is a viscous aqueous paste.

5.10.2

Lead storage battery (Lead accumulator)

The lead accumulator stores electrical energy due to the regeneration of the original reactants during recharging. It functions as a galvanic cell and as an electrolytic cell as well.

5.10.3

Nickel-Cadmium or NICAD storage cell

The nickel-cadmium cell is a secondary dry cell — in other words, it is a dry cell that can be recharged.

5.10.4

Mercury battery

The mercury battery consists of a zinc anode amalgamated with mercury. The cathode is a paste of Hg and carbon. The electrolyte is strongly alkaline, made of a paste of KOH and ZnO.

5.11

Fuel cells

The functioning of fuel cells is based on the fact that combustion reactions are of redox type — and hence can be used to generate electricity.

5.11.1

Hydrogen-oxygen fuel cell

2 Q

In the - fuel cell, the fuel is hydrogen gas and oxygen gas is the oxidising agent. The energy of the combustion of hydrogen is converted into electrical energy.

5.12

Electrochemical series (Electromotive series)

The standard potentials of a number of electrodes have been determined using the standard hydrogen electrode.

1. Choose the most correct option.

+Choose the most correct option10 questions
  1. Q1**i.** Two solutions have the ratio of their concentrations 0.4 and ratio of their conductivities 0.216. The ratio of their molar conductivi…Free
  2. Q2**ii.** On diluting the solution of an electrolyte a. both $\Lambda$ and $k$ increase b. both $\Lambda$ and $k$ decrease c. $\Lambda$ increa…Free
  3. Q3**iii.** 1 S m$^2$ mol$^{-1}$ is eual to a. 10$^{-4}$ S m$^2$ mol$^{-1}$ b. 10$^4$ $\Omega^{-1}$ cm$^2$ mol$^{-1}$ c. 10$^{-2}$ S cm$^2$ mol…Free
  4. Q4**iv.** The standard potential of the cell in which the following reaction occurs $\mathrm{H_2}$ (g,1atm) + Cu$^{2+}$(1M) $\longrightarrow$…Preview
  5. Q5**v.** For the cell, Pb (s)$\vert$Pb$^{2+}$(1M)$\Vert$Ag$^+$(1M) $\vert$Ag (s), if concentraton of an ion in the anode compartment is increa…Preview
  6. Q6**vi.** Consider the half reactions with standard potentials i. Ag$^+$ (aq) + e$^-$ $\longrightarrow$ Ag (s)$\quad E^0$ = 0.8V ii. I$_2$ (s)…Preview
  7. Q7**vii.** For the reaction Ni(s) + Cu$^{2+}$ (1M) $\longrightarrow$ Ni$^{2+}$ (1M) + Cu (s), $E^0_{cell}$ = 0.57V $\Delta G^0$ of the reactio…Preview
  8. Q8**viii.** Which of the following is not correct? a. Gibbs energy is an extensive property b. Electrode potential or cell potential is an int…Preview
  9. Q9**ix.** The oxidation reaction that takes place in lead storage battery during discharge is a. $\mathrm{Pb^{2+}\ (aq) + SO_4^{2-}(aq) \longr…Preview
  10. Q10**x.** Which of the following expressions represent molar conductivity of Al$_2$(SO$_4$)$_3$? a. $3\,\lambda^0_{Al^{3+}} + 2\,\lambda^0_{SO_…Preview

2. Answer the following in one or two sentences.

3. Answer the following in brief

[!NOTE] The book's own numbering of this group runs i.-vi. and then jumps directly to viii. - no item vii. is printed. The numbering here follows the book exactly.

4. Answer the following :

+Answer the following14 questions
  1. Q1**i.** What is Kohrausch law of independent migration of ions? How is it useful in obtaining molar conductivity at zero concentration of a w…Free
  2. Q2**ii.** Explain electrolysis of molten NaCl.Free
  3. Q3**iii.** What current strength in amperes will be required to produce 2.4 g of Cu from CuSO$_4$ solution in 1 hour ? Molar mass of Cu = 63.5…Free
  4. Q4**iv.** Equilibrium constant of the reaction, $\mathrm{2Cu^+(aq) \longrightarrow Cu^{2+}(aq) + Cu(s)}$ is 1.2 $\times$ 10$^6$. What is the s…Preview
  5. Q5**v.** Calculate emf of the cell Zn(s)$\vert$Zn$^{2+}$(0.2M)$\Vert$H$^+$(1.6M)$\vert$H$_2$(g, 1.8 atm)$\vert$Pt at 25$^0$C. (0.785V)Preview
  6. Q6**vi.** Calculate emf of the following cell at 25$^0$C. Zn (s)$\vert$Zn$^{2+}$(0.08M)$\Vert$Cr$^{3+}$(0.1M)$\vert$Cr $E^0_{Zn}$ = - 0.76 V,…Preview
  7. Q7**vii.** What is a cell constant ? What are its units? How is it determined experimentally?Preview
  8. Q8**viii.** How will you calculate the moles of electrons passed and mass of the substance produced during electrolysis of a salt solution usi…Preview
  9. Q9**ix.** Write the electrode reactions when lead storage cell generates electricity. What are the anode and cathode and the electrode reactio…Preview
  10. Q10**x.** What are anode and cathode of H$_2$-O$_2$ fuel cell ? Name the electrolyte used in it. Write electrode reactions and net cell reactio…Preview
  11. Q11**xi.** What are anode and cathode for Leclanche' dry cell ? Write electrode reactions and overall cell reaction when it generates electrici…Preview
  12. Q12**xii.** Identify oxidising agents and arrange them in order of increasing strength under standard state conditions. The standard potentials…Preview
  13. Q13**xiii.** Which of the following species are reducing agents? Arrange them in order of increasing strength under standard state conditions.…Preview
  14. Q14**xiv.** Predict whether the following reactions would occur spontaneously under standard state conditions. a. $\mathrm{Ca\ (s) + Cd^{2+}\ (…Preview

Activity :

Sample & Board Papers

Sample papers and previous-year board questions for this subject.

+Show 30 questions30 questions
  1. Q1Define cell constant. Draw a neat and well labelled diagram of primary reference electrode.Preview
  2. Q2On calculating the strength of current in amperes if a charge of 840 C (coulomb) passes through an electrolyte in 7 minutes, it will be ____…Preview
  3. Q3On passing 1.5 F charge, the number of moles of aluminium deposited at cathode are _______. [Molar mass of Al = $27\ gram\ mol^{-1}$] (a) 1.…Preview
  4. Q4What are 'fuel cells'? Write cathode and anode reaction in a fuel cell.Preview
  5. Q50.05 M NaOH solution offered a resistance of $31.6\ \Omega$ in a conductivity cell at 298 K. If the cell constant of the cell is $0.367\ cm^…Preview
  6. Q6State Faraday's first law of electrolysis. Write any 'two' uses of each of the following: a. $H_2SO_4$ b. Chlorine. Distinguish between crys…Preview
  7. Q7In hydrogen-oxygen fuel cell the carbon rods are immersed in hot aqueous solution of — (a) $KCl$ (b) $KOH$ (c) $H_2SO_4$ (d) $NH_4Cl$Preview
  8. Q8Draw a neat and labelled diagram of lead storage battery.Preview
  9. Q9How many faradays of electricity are required to produce 13 gram of aluminium from aluminium chloride solution? (Given: Molar mass of Al = 2…Preview
  10. Q10How many faradays of electricity are required to produce 6 g of Mg from MgCl2? **OR** The molar conductivity of 0.05 M BaCl2 solution at 25…Preview
  11. Q11Define electrochemical series. Write its applications.Preview
  12. Q12The standard e.m.f. of the following cell is 0.463 V: $Cu(s)\,|\,Cu^{2+}(1M)\,||\,Ag^+(1M)\,|\,Ag(s)$. If the standard potential of Ag elect…Preview
  13. Q13Write the cell reaction and calculate $E^\circ_{cell}$ of the following electrochemical cell: $Al(s)\,|\,Al^{3+}(aq.)(1M)\,||\,Zn^{2+}(aq.)(…Preview
  14. Q14Define the terms: (a) Electrochemical series (b) Corrosion. Write two applications of electrochemical series.Preview
  15. Q15The standard potential of the cell in the following reaction is _____. $Cd_{(s)} + Cu^{2+}_{(1M)} \longrightarrow Cd^{2+}_{(1M)} + Cu_{(s)}$…Preview
  16. Q16How many moles of electrons are required for reduction of 2 moles of $Zn^{2+}$ to Zn? How many Faradays of electricity will be required?Preview
  17. Q17Define reference electrode. Write functions of salt bridge. Draw neat, labelled diagram of standard hydrogen electrode (SHE).Preview
  18. Q18Calculate molar conductivity for 0.5 M $BaCl_2$ if its conductivity at 298K is 0.01 $\Omega^{-1}cm^{-1}$.Preview
  19. Q19Calculate standard Gibbs energy change at 25°C for the cell reaction $Cd_{(s)} + Sn^{2+}_{(aq)} \longrightarrow Cd^{2+}_{(aq)} + Sn_{(s)}$;…Preview
  20. Q20Draw labelled diagram of $H_2-O_2$ fuel cell. Write two applications of fuel cell.Preview
  21. Q21Write SI unit of molar conductivity.Preview
  22. Q22Calculate the time required to deposit 2.4 g of Cu, when 2.03 A of current passed through CuSO$_4$ solution. (At. mass of Cu = 63.5 g.mol$^{…Preview
  23. Q23Define electrochemical series and write its two applications.Preview
  24. Q24The formula used to calculate molar conductivity of an electrolyte is _____. (a) $\Lambda=\dfrac{1000c}{k}$ (b) $c=\dfrac{1000\Lambda}{k}$ (…Preview
  25. Q25How many coulombs of electricity is required to produce 1 g of sodium metal by reduction of sodium ion?Preview
  26. Q26Draw a neat and labelled diagram of a lead accumulator cell. Write the overall reactions taking place at cathode and anode during dischargin…Preview
  27. Q27The electrolyte used in H$_2$ – O$_2$ fuel cell is _____. (a) aqueous KCl (b) aqueous KOH (c) aqueous HCl (d) aqueous KNO$_3$Preview
  28. Q28Write the SI unit of cell constant.Preview
  29. Q29The standard potential of electrode Cu$^{++}$(0.02 M) | Cu$_{(s)}$ is 0.337 volt. Calculate its potential in volt.Preview
  30. Q30(i) Calculate effective atomic number of Fe$^{2\oplus}$ in [Fe(CN)$_6$]$^{4\ominus}$ [Given: (Z = 26)]. (ii) Draw neat and labelled diagram…Preview