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NCERT Solutions for Class 12 Chemistry Chapter 2 – Electrochemistry
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Intext Questions with Solutions of Class 12 Chemistry Chapter 2 – Electrochemistry
2.1

π Key Points to Note from Question
What to Conclude:
- Use a standard hydrogen electrode to measure Ecellβ.
- The negative cell potential indicates that magnesium has a lower reduction potential than hydrogen.
Ans – The cellβs electromagnetic field (EMF) can be measured with the angle of deflection using a voltmeter. A cell can be placed with Mg/MgSO4 (1 M) as the primary electrode and the conventional hydrogen electrode Pt, H, (1 atm) H+/(l M) as the secondary electrode. The shift in direction indicates that e-1 s travel from the magnesium electrode to the hydrogen electrode, meaning that reduction occurs on the hydrogen electrode. In contrast, oxidation occurs on the magnesium electrode. The structure of the cell can therefore be shown in the following manner:

2.2

Ans – Cu is readily removed from the CuSO4 mixture in the subsequent process because it is less sensitive than zinc:
Zn (s) + CuSO4 (aq) β ZnSO4 (aq) + Cu (s)
When expressed in terms of emf, it will be as follows:
E0cell = E0Cu2+/Cu β E0Zn2+/Zn
= 0.34V β (β0.76V) = 1.10V
The presence of involuntary responses is indicated by a positive E0cell measurement. The uniqueness of CuSO4 will be lost if it is kept in a Zn container because Zinc will interact with copper.
2.3

Ans – The oxidation value of Fe2+ ions to Fe3+ ions can be depicted below:
Fe2+ β 3+ + eβ ; E0OX = β 0Β·77 V
Particular compounds that are positioned over iron in an electrochemical sequence or that can oxidize Fe2+ ions to Fe3+ ions that can take up electrons generated during oxidation are capable of doing so. Meanwhile, in the acidic medium, the substances include Cl2(g), Br2(g) & Cr2O2β7 ions.
2.4

π Key Points to Note from Question
Given Data:
- pH of the solution: 10
- Temperature (T): 298 K
Key Concept:
- Potential of a Hydrogen Electrode.
What to Calculate:
- Substitute pH = 10 into the formula to calculate E.
Ans – For a hydrogen electrode,

It is given that pH = 10.
Using Nernst equation we get,

Therefore, the potential of the hydrogen electrode in contact with a solution at pH 10 is 0.591 V.
2.5

π Key Points to Note from Question
Given Data:
- Cell reaction,
- Standard emf of the cell (Eβcellβ): 1.05 V
- Concentrations:
- [Ag+] = 0.002βM
- [Ni2+] = 0.160βM
- Temperature (T): 298 K
Key Concept:
- Nernst Equation
What to Calculate:
- Reaction quotient (Q).
- Cell potential (Ecellβ) using the Nernst equation.
Ans – Using Nernst formula,

2.6

π Key Points to Note from Question
Given Data:
- Standard cell potential (Eβcellβ): 0.236 V
- Temperature (T): 298 K
- Faraday’s constant (F): 96500 C/mol
- Gas constant (R): 8.314 J/molΒ·K
Key Concept:
- Standard Gibbs Free Energy Formula.
What to Calculate:
- Standard Gibbs free energy.
- Equilibrium constant of the cell reaction.
Ans –

2.7

Ans – The quantity of ions available per unit volume is correlated with a solution’s conductance. When they are diluted, the solution’s particular conductive property or equivalent conductivity also lowers.
2.8

π Key Points to Note from Question
Key Concept:
- Application of Kohlrausch’s Law.
What to Calculate:
- Use experimental or literature values of Ξ»0(H+) and Ξ»0(OHβ).
- Add them to find the limiting molar conductivity of water.
Ans – We can figure out Ξmβ for water by applying Kohl Rausch’s law.
Irrespective of the type of ion concerned, the Kohlrausch Law states that every ion contributes a particular quantity to the electrolyte’s comparable conductivity when splitting takes place at endless dilution. The quantity of corresponding conductance at infinite dilution for every electrolyte is the combined value of the individual contributions of its ionic constituents (cations followed by anions).
Ξmβ = Ξmβ (HCl) + Ξmβ (NaOH) β Ξmβ (NaCl)
Since HCl, NaOH, and NaCl are powerful electrolytes and fully split up, their Ξβ constants are well-known. The magnitude of Ξmβ for water molecules may be obtained by entering the corresponding value in the formula mentioned earlier.
2.9

π Key Points to Note from Question
Given Data:
- Concentration of methanoic acid (C): 0.025 mol/L
- Molar conductivity (Ξmβ): 46.1 S cm2 mol-1
- Limiting molar conductivities
Key Concept:
- Degree of Dissociation formula.
- Dissociation Constant formula.
What to Calculate:
- Limiting molar conductivity.
- Degree of dissociation (Ξ±).
- Dissociation Constant (Ka)
Ans –

2.10

π Key Points to Note from Question
Given Data:
- Current (I): 0.5 A
- Time (t): 2 hours = 7200 seconds
Key Concept:
- Charge (Q) formula.
- Number of electrons formula.
What to Calculate:
- Total charge (Q) passing through the wire.
- Number of electrons (ne) flowing through the wire.
Ans –

2.11

Ans – Electrolysis can be used to obtain extremely reactive elements with significant -ve EΒ° coefficients that can also function as potent reducing substances. Electrolytic reduction is the name of the method that is used. For example, elements like magnesium, sodium, calcium, potassium, etc.
2.12

π Key Points to Note from Question
Given Data:
- Chemical reaction.
- Number of electrons transferred per mole of Cr2O72ββ: 6 moles of eβ
Key Concept:
- Quantity of Electricity (Q) Formula
What to Calculate:
- Total charge (Q) required to reduce 1 mole of Cr2O72β.
Ans – For the mentioned reaction to occur, 1 mol of Cr2O72β requires 6 F = 6 Γ 96500 = 579000 C of electricity.
Therefore, 579000 C of electricity are necessary for the reduction of Cr2O72β to Cr3+
2.13

π Key Points to Note from Question
Key Concept:
- Electrochemical Reaction During Recharging.
- Half-Reactions at Electrodes.
- Overall Reaction During Recharging.
What to Highlight:
- Reactions at both electrodes.
- Overall chemical process restoring the battery’s capacity.
Ans – An anode made of lead, a cathode of a network of lead filled with lead dioxide (PbO2), and an electrolyte of 38% water in a solution of H2SO4 make up a lead storage cell. The following effect occurs while the battery is being used:

The opposite process occurs when the battery is charged, meaning that PbSO4 that has been accumulated on the conducting surfaces is changed back into Pb and PbO2, while H2SO4 is produced.
2.14

Ans – Methane (CH4) & methanol (CH3OH) can be implemented as fuel source as a perfect alternate to hydrogen components in the fuel storage cells.
2.15

π Key Points to Note from Question
Key Concept:
- Rusting as an Electrochemical Process.
- Electrochemical Reactions.
- Formation of Rust.
- Role of Water and Oxygen
What to Explain:
- The anode and cathode regions on the iron surface.
- How rust forms as a product of electrochemical reactions.
- Role of water and oxygen in the process.
Ans – The water available on the above layer of the surface in the iron gets dissolved in the acidic oxides of air including CO2, and SO2 to produce acids that spits apart to offer H+ ions:
H2O + CO2 β H2CO3 β 2H+ + CO32β
Iron Fe2+ emits eβ1 to produce Fe3+ when H+ is present. Thus, this serves as an anode:
Fe (s) β Fe2+ (aq) + 2eβ
After that, the eβ1 dissipated moves across the metal to a location where reduction occurs and H+ ions use these electrons together with oxygen that is dispersed serves as a cathode as a result:
O2 (g) + 4H+ (aq) + 4eβ β 2H2O (g)
Overall reaction will be:
2Fe (s) + O2 (g) + 4H+ (aq) β 2Fe2+ (aq) + 2H2O (l)
Consequently, the outer layer develops an electrochemical cell. Rust, or hydrated ferric oxide, is created when water combines with ferrous ions that have been oxidized by oxygen in the atmosphere to ferric ions (Fe2O3.XH2O).
Exercise Questions with Solutions of Class 12 Chemistry Chapter 2 – Electrochemistry
2.1

Ans – Mg, Al, Zn, Fe, Cu
2.2

π Key Points to Note from Question
Key Concept:
- Reducing Power:
- Metals with lower standard electrode potential (Eβ) are stronger reducing agents because they are more likely to lose electrons and get oxidized.
- Reducing power increases as Eβ becomes more negative.
- Trend Based on Eβ:
- K+: Most negative β Strongest reducing agent.
- Ag+: Most positive β Weakest reducing agent.
Ans – The reducing power increases with the oxidation potential because it can be readily oxidized. Ag < Hg < Cr < Mg < K will experience the rising order of diminishing energy as a result.
2.3

π Key Points to Note from Question
Key Concept:
- Electrode Charges:
- The anode (Zn) is negatively charged as oxidation occurs (loss of electrons).
- The cathode (Ag) is positively charged as reduction occurs (gain of electrons).
- Current Carriers:
- In the external circuit: Flow of electrons from the anode to the cathode.
- In the electrolyte: Flow of ions:
- Zn2+ ions move into the solution at the anode.
- NO3β ions move toward the anode and Ag+ ions move toward the cathode.
Ans – (i) There will be a negative charge on the anode, which is the zinc electrode.
(ii) Current will flow from silver to copper in the external circuit.
(iii) At anode: Zn (s) β Zn2+ (aq) + 2eβ
At cathode: 2Ag+ (aq) + 2eβ β 2Ag (s)
2.4

π Key Points to Note from Question
Key Concept:
- Standard Cell Potential Formula
- Gibbs Free Energy Formula
- Equilibrium Constant Formula
What to Calculate:
- Standard cell potential (Eβcellβ) for both reactions.
- Gibbs free energy change (ΞrGβ) for both reactions.
- Equilibrium constant (K) for both reactions.
Ans – (i) Calculation of E0cell

Calculation of βGo

Calculation of Equilibrium Constant Kc

(ii) Calculation of E0cell

Calculation of βGo

Calculation of Equilibrium Constant Kc

2.5

π Key Points to Note from Question
Given Data:
- Temperature: 298βK.
- Use the Nernst equation to calculate the emf for each cell.
Key Concept:
- Nernst Equation for a Cell
What to Calculate:
Ans – (i) Cell reaction:

(ii) Cell reaction:

(iii) Cell reaction:

(iv) Cell reaction:

2.6

π Key Points to Note from Question
Given Data:
- Given chemical reaction
Key Concept:
- Eββcell = Eβcathode ββ Eβanodeβ
- ΞrGβ = βnFEββcell
What to Calculate:
- Standard cell potential.
- Standard Gibbs free energy change.
Ans – We know
Zn β Zn2+ + 2eβ, Eβ = 0.76 V
Ag2O + H2O + 2eβ β 2Ag + 2OHβ, Eβ = 0.344 V
In the specified reaction, Zn undergoes oxidation whereas Ag2O undergoes reduction.
Eβcell = 0.344 + 0.76 = 1.104 V
ΞGβ = nFEβcell = β2 Γ 96500 Γ 1.104 J
ΞGβ = β2.13 Γ 105 J
2.7

π Key Points to Note from Question
Key Concept:
- Conductivity: Measures a solutionβs ability to conduct electricity.
- Molar Conductivity: Conductivity per mole of electrolyte in solution.
What to Calculate:
- Variation with Concentration:
- For strong electrolytes: Ξmβ decreases slightly with concentration.
- For weak electrolytes: Ξmβ increases significantly with dilution.
Ans – When an agent has a dimension of 1 cm & a cross-sectional measurement of 1 cm, its conductivity is determined as its conductance.
The molar conductivity of a fluid at a dilution (V) is the conductance of every ion generated from a single mole of the electrolyte present in the solution when the electrodes are spaced one centimetre apart and the area of their cross-section is sufficient to contain the whole substance between them Vcm3. The majority of highly incorporated indicators for conductivity is Ξm.
As the electrolyte saturation decreases, or as dispersion takes place, a solution’s conductivity decreases (for equally weak as well as strong electrolytes). The reason for this is that the quantity of ions per cubic inch of the mixture falls as it becomes dissolved. The molar conductivity of a mixture rises as the quantity of the electrolyte decreases upon diluting. This happens because there is a lower number of ions per cubic inch of the substance when it is dissolved. As a solution’s electrolyte saturation decreases, its molar conductivity rises. The reason for this is that dilution raises the number of ions and their adaptability. As the quantity of concentration inches closer to zero, the molar conductivity is depicted as the restricting molar conductivity.
2.8

π Key Points to Note from Question
Given Data:
- Conductivity: 0.0248 S cmβ1
- Concentration: 0.20βM
What to Calculate:
- Molar conductivity
Ans –

2.9

π Key Points to Note from Question
Given Data:
- Conductivity: 0.146 Γ 10β3 S cmβ1
- Resistance: 1500βΞ©
What to Calculate:
- Cell constant
Ans –

2.10

Ans – Using the unit conversion factor shown below,



Ξβcm = Intercept of Ξmaxis =124.0 S cm2 molβ1
The extrapolation to zero concentration produces this outcome.
2.11

π Key Points to Note from Question
Given Data:
- Conductivity: 7.896 Γ 10β5βS cmβ1
- Concentration: 0.00241βM
- Ξ0mβ (limiting molar conductivity): 390.5βS cm2 molβ1
What to Calculate:
- Molar conductivity.
- Degree of dissociation.
- Dissociation constant.
Ans –

2.12

Ans – (i) Al3+ + 3e β Al is the process that occurs when aluminium ions lose 3 electrons to reach the elemental form of aluminium. For a decrease of 1mol, the required energy is Al3+ = 3F = 3 Γ 96500C = 289500C.
(ii) For it to exist in the copper (0) region, a cupric ion must shed 2 electrons. The following is the electrode response that is taking place: Cu2+ + 2eβ β Cu. The amount of energy needed to convert one mol of Cu2+ is equal to 2F = 2 Γ 96500 = 193000C.
(iii) 5 electrons are released to decrease manganese from its +7 oxidation condition to a +2 oxidation stage in the molecule MnO4.
MnO4 β Mn2+ i.e. Mn7+ + 5eβ β Mn2+
One mol of MnO4 must be reduced to Mn2+ with an electrical charge value of 5F = 5 Γ 96500C = 4825000C.
2.13

Ans – (i) Ca2+ + 2eβ β Ca
One mol of calcium, or 40g of calcium, will call for = 2F electricity since the process above involves a pair of electrons, and 20g of calcium will need = 1F energy.
(ii) Al3+ + 3eβ β Al
Since there are 3 electrons involved in the decrease of the aluminium ion previously mentioned,
Thus, 27g of Al or one mole of Al will need 3F of power.
Additionally, 40g of aluminium will take 4.44F of power (3/27) times 40.
2.14

Ans – (i) The following reaction happen when water oxidises:

Two electrons are involved in the transaction. Thus, the required amount of electricity is equal to 2 F = 2 Γ 96500 C = 193000 C
(ii) The following reaction is how the oxidation process of FeO happen:

The electron transfer involves a single electron unit; hence, the required quantity of electricity = 1 F = 96500C
2.15

π Key Points to Note from Question
Given Data:
- Current (I): 5βA
- Time (t): 20βmin=1200βs
- Molar mass of Ni: 58.69βg/mol
- Faraday’s constant (F): 96500βC/mol
What to Calculate:
- Total charge (Q).
- Moles of electrons (ne).
- Mass of Ni deposited.
Ans – The amount of electricity that was passed = (5A) x (20 x 60 sec) = 6000C

2.16

π Key Points to Note from Question
Given Data:
- Current (III): 1.5βA
- Mass of silver (Ag) deposited: 45βg
- Molar mass of Ag: 107.87βg/mol
- Molar mass of Cu: 63.55βg/mol
- Molar mass of Zn: 65.38βg/mol
- Faraday’s constant (F): 96500βC/mol
What to Calculate:
- Total charge (Q) required for 45βg.
- Time (t) the current flowed.
- Mass of zinc and copper deposited in cells A and C, respectively.
Ans – Given



2.17

Ans – A positive emf indicates the feasibility of the cell reaction.





2.18

Ans – (i) AgNO3 (s) β Ag+ (aq) + NO3– (aq)
H2O β H+ + OH–
At the cathode, Ag+ ions have a smaller release value than H+ ions. Consequently, instead of settling down as H+ ions, Ag ions will be implanted as Ag.
At the anode: Ag melts and creates ions in the mixture once NO3– ions hit the Ag anode.
Ag (s) β Ag+ (aq) + e–
(ii) At the cathode, Ag+ ions have a smaller release value than H+ ions. Consequently, instead of settling down as H+ ions, Ag ions will be formed as Ag.
At anode: OH ions have a smaller discharging energy than NO3β ions due to the anode’s inability to be attacked. Consequently, NO3β ions will dissolve and emit O2 once OH has been eliminated initially.
OHβ β OH + eβ
4OH β 2H2O (l) + O2 (g)
(iii) H2SO4 β 2H+ + SO42β
H2O β H + OHβ
At cathode: H+ + eβ β H
H + H β H2 (g)
At anode: OHβ β OH + eβ
4OH β 2H2O + O2 (g)
Thus, hydrogen gas is released at the cathode and oxygen gas at the anode.
(iv) CuCl2 β Cu2+ + 2Clβ
H2O β H + OHβ
Copper metal will be deposited at the cathode as an outcome of Cu2+ ions diminishing to greater H+ ions.
Cu2+ + 2eβ β Cu
At the anode, OH– ions that remain in reaction will be liberated after Cl– ions.
Cl– β Cl + eβ
Cl + Cl β Cl2 (g)
As a result, Cl2 vapor will be released at the anode & copper metal will settle on the cathode.
Related Study Resources of Chapter 2 – Electrochemistry
Students can use the links below to get extra study materials for Class 12 Chemistry Chapter 2: Electrochemistry
Sl No. | Related Links |
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1 | Class 12 Chemistry Chapter 2 Electrochemistry – Important Questions |
NCERT Solutions for Class 12 Electrochemistry
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