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.
Key concepts
Hover a concept to preview it and jump to its most relevant Q&A.
Molar Conductivity
You already know resistance () — it tells you how much a material opposes the flow of current. A high resistance means the wire fights the current; a low resistance means it lets current through easily.
Most relevant Q&A
- The molar conductivity of 0.05 M BaCl$_2$ solution at 25$^0$C is 223 $\Omega^{-1}$ cm$^2$ mol$^{-1}$. What is its conductivity ?Preview
- The molar conductivity of 0.01M acetic acid at 25 $^0$C is 16.5 $\Omega^{-1}$ cm$^2$ mol$^{-1}$. Calculate its degree of dissociation in 0.0…Preview
- **3.** $k_1$ and $k_2$ are conductivities of two solutions and $c_1$ and $c_2$ are their concentrations. Establish the relationship between…Preview
- **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
- **i.** Explain the effect of dilution of solution on conductivity ?Free
In previous exams
How often this chapter’s concepts have been examined — real appearance data, never estimated.
Chapter contents
The NCERT structure, section by section. Open a section to see its questions, then read the concept-first solution.
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.
Electric conduction
Electric current represents a transfer of charge. A charge transfer — a flow of electricity — occurs through substances called conductors.
Metallic conduction
Electrical conduction through a metal involves a direct flow of electrons from one point to the other.
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Electrolytic or ionic conduction
Electrolytic conduction involves conduction of electric current by the movement of ions of an electrolyte.
Information provided by measurement of conductivities of solutions
Measurement of the conductivities of solutions provides two kinds of information:
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 :
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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 :
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,…
Relation between k and ∧
2 QConductivity is the electrical conductance of of solution. If is the volume of solution in containing 1 mole of dissolved electrolyte, its electrical conductance is .
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Variation of conductivity with concentration
The variation of conductivity with concentration follows from what conductivity measures:
Variation of molar conductivity with concentration
The molar conductivity behaves differently from conductivity on dilution:
Variation of molar conductivity with concentration
The variation of molar conductivity with concentration is qualitatively different for strong and weak electrolytes.
Kohlrausch law of independent migration of ions
4 QKohlrausch'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…
+−Problemsi3 questions
- Problem 5.2Calculate the molar conductivity of AgI at zero concentration if the molar conductivities of NaI, AgNO$_3$ and NaNO$_3$ at zero concentratio…Free
- Problem 5.3Calculate molar conductivities at zero concentration for CaCl$_2$ and Na$_2$SO$_4$. Given : molar ionic conductivitis of Ca$^{2+}$, Cl$^-$,…Preview
- Problem 5.4The molar conductivity of 0.01M acetic acid at 25 $^0$C is 16.5 $\Omega^{-1}$ cm$^2$ mol$^{-1}$. Calculate its degree of dissociation in 0.0…Preview
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
Measurement of conductivity
The conductivity of a solution can be determined from resistance measurements by the Wheatstone bridge.
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…
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).
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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…
Types of electrochemical cells
There are two types of electrochemical cells.
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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.
Electrolysis of molten NaCl
Construction of cell : The electrolytic cell consists of a container in which fused (molten) NaCl is placed.
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.
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.
+−Problemsi4 questions
- Problem 5.6What is the mass of Cu metal produced at the cathode during the passage of 5 ampere current through CuSO$_4$ solution for 100 minutes. Molar…Free
- Problem 5.7How long will it take to produce 2.415 g of Ag metal from its salt solution by passing a current of 3 ampere ? Molar mass of Ag is 107.9 g m…Free
- Problem 5.8How many moles of electrons are required for reduction of 3 moles of Zn$^{2+}$ to Zn ? How many Faradays of electricity will be required ?Preview
- Problem 5.9In a certain electrolysis experiment 4.36 g of Zn are deposited in one cell containing ZnSO$_4$ solution. Calculate the mass of Al deposited…Preview
Galvanic or voltaic cell
In galvanic or voltaic cells, electricity is generated through the use of spontaneous chemical reactions.
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.
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.
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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 (-).
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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.
Standard potentials
The electrode potential and the cell potential depend on the concentrations of solutions, the pressures of gases and the temperature.
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.
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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…
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:
Standard cell potential and equilibrium constant
2 QThe relation between the standard Gibbs energy change of a cell reaction and the standard cell potential is given by Eq. (5.28): .
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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).
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…
Galvanic cells useful in day-to-day life
Voltaic (or galvanic) cells in common use can be classified as primary and secondary cells.
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.
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.
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.
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.
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.
Hydrogen-oxygen fuel cell
2 QIn 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.
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Electrochemical series (Electromotive series)
The standard potentials of a number of electrodes have been determined using the standard hydrogen electrode.
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1. Choose the most correct option.
+−Choose the most correct option10 questions
- 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
- 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
- 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
- Q4**iv.** The standard potential of the cell in which the following reaction occurs $\mathrm{H_2}$ (g,1atm) + Cu$^{2+}$(1M) $\longrightarrow$…Preview
- 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
- 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
- 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
- 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
- Q9**ix.** The oxidation reaction that takes place in lead storage battery during discharge is a. $\mathrm{Pb^{2+}\ (aq) + SO_4^{2-}(aq) \longr…Preview
- Q10**x.** Which of the following expressions represent molar conductivity of Al$_2$(SO$_4$)$_3$? a. $3\,\lambda^0_{Al^{3+}} + 2\,\lambda^0_{SO_…Preview
2. Answer the following in one or two sentences.
+−Answer in one or two sentences10 questions
- Q1**i.** What is a cell constant ?Free
- Q2**ii.** Write the relationship between conductivity and molar conductivity and hence unit of molar conductivity.Free
- Q3**iii.** Write the electrode reactions during electrolysis of molten KCl.Free
- Q4**iv.** Write any two functions of salt bridge.Preview
- Q5**v.** What is standard cell potential for the reaction $\mathrm{2Al(s) + 3Ni^{2+}(1M) \longrightarrow 2Al^{3+}(1M) + 3Ni\ (s)}$ if $E^0_{Ni…Preview
- Q6**vi.** Write Nerst equation. What part of it represents the correction factor for nonstandard state conditions ?Preview
- Q7**vii.** Under what conditions the cell potential is called standard cell potential ?Preview
- Q8**viii.** Formulate a cell from the following electrode reactions : $\mathrm{Au^{3+}(aq) + 3e^- \longrightarrow Au(s)}$ $\mathrm{Mg(s) \long…Preview
- Q9**ix.** How many electrons would have a total charge of 1 coulomb ?Preview
- Q10**x.** What is the significance of the single vertical line and double vertical line in the formulation galvanic cell.Preview
3. Answer the following in brief
[!NOTE] The book's own numbering of this group runs i.-vi. and then jumps directly to viii. - no item vii. is printed. The numbering here follows the book exactly.
+−Answer the following in brief10 questions
- Q1**i.** Explain the effect of dilution of solution on conductivity ?Free
- Q2**ii.** What is a salt bridge ?Free
- Q3**iii.** Write electrode reactions for the electrolysis of aqueous NaCl.Free
- Q4**iv.** How many moles of electrons are passed when 0.8 ampere current is passed for 1 hour through molten CaCl$_2$ ?Preview
- Q5**v.** Construct a galvanic cell from the electrodes Co$^{3+}\vert$Co and Mn$^{2+}\vert$Mn. $E^0_{Co}$ = 1.82 V, $E^0_{Mn}$ = - 1.18V. Calcu…Preview
- Q6**vi.** Using the relationsip between $\Delta G^0$ of cell reaction and the standard potential associated with it, how will you show that th…Preview
- Q8**viii.** Derive the relationship between standard cell potential and equilibrium constant of cell reaction. > [!NOTE] > The book's printed…Preview
- Q9**ix.** It is impossible to measure the potential of a single electrode. Comment.Preview
- Q10**x.** Why do the cell potential of lead accumulators decrease when it generates electricity ? How the cell potential can be increased ?Preview
- Q11**xi.** Write the electrode reactions and net cell reaction in NICAD battery.Preview
4. Answer the following :
+−Answer the following14 questions
- 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
- Q2**ii.** Explain electrolysis of molten NaCl.Free
- 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
- 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
- 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
- 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
- Q7**vii.** What is a cell constant ? What are its units? How is it determined experimentally?Preview
- 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
- Q9**ix.** Write the electrode reactions when lead storage cell generates electricity. What are the anode and cathode and the electrode reactio…Preview
- 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
- Q11**xi.** What are anode and cathode for Leclanche' dry cell ? Write electrode reactions and overall cell reaction when it generates electrici…Preview
- Q12**xii.** Identify oxidising agents and arrange them in order of increasing strength under standard state conditions. The standard potentials…Preview
- Q13**xiii.** Which of the following species are reducing agents? Arrange them in order of increasing strength under standard state conditions.…Preview
- Q14**xiv.** Predict whether the following reactions would occur spontaneously under standard state conditions. a. $\mathrm{Ca\ (s) + Cd^{2+}\ (…Preview
Activity :
+−Activity5 questions
- Q1**1.** Write electrode reactions net cell reaction in the electrolysis of molten barium chloride.Free
- Q2**2.** Prepare the salt bridge and set up the Daniel cell in your laboratory. Measure its emf using voltmeter and compare it with the value…Free
- Q3**3.** $k_1$ and $k_2$ are conductivities of two solutions and $c_1$ and $c_2$ are their concentrations. Establish the relationship between…Preview
- Q4**4.** Find and search working of power inverters in day-to-day life.Preview
- Q5**5.** Collect information of pollution free battery.Preview
Sample & Board Papers
Sample papers and previous-year board questions for this subject.
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- Q1Define cell constant. Draw a neat and well labelled diagram of primary reference electrode.Preview
- 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
- 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
- Q4What are 'fuel cells'? Write cathode and anode reaction in a fuel cell.Preview
- 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
- 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
- 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
- Q8Draw a neat and labelled diagram of lead storage battery.Preview
- Q9How many faradays of electricity are required to produce 13 gram of aluminium from aluminium chloride solution? (Given: Molar mass of Al = 2…Preview
- 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
- Q11Define electrochemical series. Write its applications.Preview
- 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
- Q13Write the cell reaction and calculate $E^\circ_{cell}$ of the following electrochemical cell: $Al(s)\,|\,Al^{3+}(aq.)(1M)\,||\,Zn^{2+}(aq.)(…Preview
- Q14Define the terms: (a) Electrochemical series (b) Corrosion. Write two applications of electrochemical series.Preview
- Q15The standard potential of the cell in the following reaction is _____. $Cd_{(s)} + Cu^{2+}_{(1M)} \longrightarrow Cd^{2+}_{(1M)} + Cu_{(s)}$…Preview
- 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
- Q17Define reference electrode. Write functions of salt bridge. Draw neat, labelled diagram of standard hydrogen electrode (SHE).Preview
- Q18Calculate molar conductivity for 0.5 M $BaCl_2$ if its conductivity at 298K is 0.01 $\Omega^{-1}cm^{-1}$.Preview
- Q19Calculate standard Gibbs energy change at 25°C for the cell reaction $Cd_{(s)} + Sn^{2+}_{(aq)} \longrightarrow Cd^{2+}_{(aq)} + Sn_{(s)}$;…Preview
- Q20Draw labelled diagram of $H_2-O_2$ fuel cell. Write two applications of fuel cell.Preview
- Q21Write SI unit of molar conductivity.Preview
- 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
- Q23Define electrochemical series and write its two applications.Preview
- Q24The formula used to calculate molar conductivity of an electrolyte is _____. (a) $\Lambda=\dfrac{1000c}{k}$ (b) $c=\dfrac{1000\Lambda}{k}$ (…Preview
- Q25How many coulombs of electricity is required to produce 1 g of sodium metal by reduction of sodium ion?Preview
- Q26Draw a neat and labelled diagram of a lead accumulator cell. Write the overall reactions taking place at cathode and anode during dischargin…Preview
- 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
- Q28Write the SI unit of cell constant.Preview
- Q29The standard potential of electrode Cu$^{++}$(0.02 M) | Cu$_{(s)}$ is 0.337 volt. Calculate its potential in volt.Preview
- 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