The NCERT Class 12 Electrochemistry Numerical Questions for Chapter 3 – Electrochemistry has mainly been designed to help the students in preparing well and score good marks in CBSE class 12 Chemistry paper. Further, the solutions consist of well thought or structured mathematical questions along with detailed explanations to help students learn and remember concepts easily.

The students appearing for CBSE Class 12th Chemistry Examination 2021 can go through the important numerical questions and answers for Chapter 3 – Electrochemistry to prepare themselves for the upcoming examination.

**Subtopics for Class 12 Chemistry Chapter 3 – Electrochemistry**

*Electrochemical Cells**Galvanic Cells**Measurement of Electrode Potential*

*Nernst Equation**Equilibrium Constant from Nernst Equation**Electrochemical Cell and Gibbs Energy of Reaction*

*The conductance of Electrolytic Solutions**Measurement of the Conductivity of Ionic Solutions**Variation of Conductivity and Molar Conductivity with Concentration*

*Electrolytic Cells and Electrolysis**Products of Electrolysis*

*Batteries**Primary Batteries**Secondary Batteries*

*Fuel Cells**Corrosion*

Table of Contents

**Class 12 Electrochemistry Numerical Questions on Galvanic Cell, Nernst Equation and Electrochemical Series**

**Calculate the potential of hydrogen electrode in contact with a solution whose pH is 10. (NCERT)**

Solution:

If pH of solution is 10 means its [H^{+}] ion concentration is 10^{-10}M.

Using, E_{cell}= E°_{cell}– 0.059n log1[H+]

Here E°_{cell}= 0, n =2, [H^{+}] = 10^{-10}

∴E_{cell}= 0 – 0.0592 log 1[10−10] = -0.59V**Calculate the standard cell potentials of galvanic cells in which the following reactions take place : (NCERT)**

1. 2Cr_{(s)}+ 3Cd^{2+}_{(aq)}→ Cr^{3+}_{(aq)}+ 3Cd

2. Fe^{2+}_{(aq)}+Ag^{+}_{(aq)}→ Fe^{3+}_{(aq)}+ Ag_{(s)}. Calculate the ∆_{r}G°, and equilibrium constant of the reactions.

Solution:

1. E°_{cell}= E°_{Ecathode}– E°_{Eanodg}

= – 0.40 -(-0.74) = +0.34V

∆G° = -nFE° = -6 x 96500 x 0.34

= -196860J = -196.86kJmol^{-1}

∆G° =-2.303 RT log K

– 196860 =-2.307 x 8.314 x 298 log K

or log K = 35.5014 or K

= Antilog 34.5014 = 3.19 x 10^{34}2. E°

_{cell}= E°_{Ecathode}– E°_{Eanodg}

= 0.80 – (0.77) = +0.03V

∆G° = -nFE° = -1 x 96500 x 0.03

= -2895Jmol^{-1}

= – 2-895 kJmol^{-1}

∆G° = -2-303 RT log K

– 2895 Jmol^{-1}= -2.303 x 8.314 x 298 log K or

or K = Antilog of 0.5074 = 3.22.- Two half-reactions of an electrochemical cell are given below :

MnO^{–}_{4}(aq) + 8H^{+}(aq) + 5e^{–}→ Mn^{2+}(aq) + 4H_{2}O (I), E° = 1.51 V

Sn^{2+}(aq) → Sn^{4+}(aq) + 2e^{–}, E° = + 0.15 V.

Construct the redox reaction equation from the two half-reactions and calculate the cell potential from the standard potentials and predict if the reaction is reactant or product favoured. (All India 2010)

Answer:

The reactions can be represented at anode and at cathode in the following ways :

At anode (oxidation) :

Sn^{2+}→ Sn^{4+}(aq) + 2e^{–}] × 5 E° = + 0.15 V

Af cathode (reduction) :

MnO^{–}_{4}(aq) + 8H^{+}(aq) + 5e^{–}→ Mn^{2+}(aq) + 4H_{2}O (I)] × 2 E° = + 1.51 V

The Net R × M = 2MnO^{–}_{4}(aq) + 16H^{+}+ 5Sn^{2+}→ 2Mn^{2+}+ 5Sn^{4+}+ 8H_{2}O

Now E°_{cell}= E°_{cathode}– E°_{anode}

= 1.51 – 0.15 = + 1.36 V

∴ Positive value of E°_{cell}favours formation of product. - Determine the values of equilibrium constant (K
_{c}) and ΔG° for the following reaction :

Ni(s) + 2Ag^{+}(aq) → Ni^{2+}(aq) + 2Ag(s),

E° = 1.05 V

(1F = 96500 C mol^{-1}) (Delhi 2011)

Answer:

According to the formula

ΔG° = -nFE° = – 2 × 96500 ×1.05

or ΔG° = -202650 J mol^{-1}= -202.65 KJ mol^{-1}

Now ΔG° ⇒ -202650 J Mol^{-1}

R = 8.314 J/Mol/K, T = 298 K - The standard electrode potential (E°) for Daniel cell is +1.1 V. Calculate the ΔG° for the reaction

Zn(s) + Cu^{2+}(aq) → Zn^{2+}(aq) + Cu(s)

(1 F = 96500 C mol^{-1}). (All India 2013)

Answer:

We know, ΔG° = -nF E°cell

Given : E°cell = 1.1 volt

∴ ΔG° = -2 × 96500 C mol^{-1}× 1.1 volt

= -212300 CV mol^{-1}

= -212300 J mol^{-1}= -212.3 KJ mol^{-1} - The standard electrode potential for Daniell cell is 1.1 V. Calculate the standard Gibbs energy for the cell reaction. (F = 96,500 C mol
^{-1}) (Comptt. Delhi 2013)

Answer:

Given : E° = 1.1V, F = 96,500 C mol^{-5}, n = 2

Zn + Cu^{2}⇌ Cu + Zn^{2+}

Using ΔG° = -nFE° = -2 × 96500 × 1.1

= 212,300 CV mol^{-1}

**Class 12 Electrochemistry Numerical Questions on Conductance of Electrolyte Solution**

**1.If specific conductance of 0.02 mol L ^{-1} KCI solution at 298 K is 2.48 x 10^{-2} Ω^{-1}cm^{-1}, then calculate its molar conductance.**

Solution:

K = 2.48 x 10

^{-2}cm

^{-1}, C = 0.02 mol L

^{-1}

Λ

_{m}= 1000kCm

=2.48×10-

^{2}x1000/0.02

= 124 Scm

^{2}mol

^{-1}

**2. The resistance of 0.01 N NaCl solution at 298 K is 200 ohm. Cell constant of the conductivity cell is unity. Calculate the equivalent conductance.**

**3. The conductivity of a solution containing 1 gram of anhydrous BaCl, in 200 cm’ of water has been found to be 0.0058 mho cm!. What are the molar conductivity and equivalent conductivity of the solution (At. wt. of Ba = 137 and Cl = 35.5).**

** **

**4.The resistance of a conductivity cell containing 0.001 M KCl solution at 298 K is 1500 Ω. What is the cell constant if the conductivity of 0.001 M KCl solution at 298 K is 0.146 × 10 ^{-3} S cm^{-1} ? (Delhi 2011)**

**Class 12 Electrochemistry Numerical Questions on Kohlrausch’s Law**

** 1. What are weak electrolytes? Give one example. Find out molar conductivity of LiBr aqueous solution infinite dilution when joint conductance of Li ^{-1} ion and Br^{-1} ion are 38.7 Scm^{2} mol^{-1} and 78.40 Scm^{2} mol^{-1} respectively.**

Solution:

Weak electrolytes : These are the substances which dissociate only to a small extent.

Examples: CH

_{3}COOH,NH

_{4}OH

Λ

_{∞}LiBr = Λ

_{∞}Li

^{+}+ Λ

_{∞}Br

^{–}

Given that,

Λ

_{∞}Li

^{+}= 38.7Scm

^{2}mol

^{-1}

Λ

_{∞}Br

^{–}= 78.40 Scm

^{2}mol

^{-1}

Λ

_{∞}LiBr = 38.7 + 78.40

Λ

_{∞}LiBr = 117.10Scm

^{2}mol

^{-1}

**2. What are strong electrolytes? Find out the molar conductivity of aqueous solution of BaCl _{2} at infinite dilution when ionic conductance of Ba^{+2} ion and Cl^{–} ion are 127.30 Scm^{2} mol^{-1} and 76.34 Scm^{2} mol^{-1} respectively.**

Solution:

Strong electrolytes : These are substances which dissociate almost completely into ions under all dilutions.

Examples : NaCl,HCl,CH

_{3}COONa

Λ

_{∞}BaCl

_{2}= Λ

_{∞}Ba

^{2+}+ 2 Λ

_{∞}Cl

^{–}

Given that,

Λ

_{∞}= 127.30Scm

^{2+}mol

^{-1}

Λ

_{∞}Cl

^{-1}= 76.34Scm

^{2+}mol

^{-1}

Λ

_{∞}BaCl

_{2}=127.30+2(76.34)

= 127.30 + 152.68

= 279.98 Scm

^{2}mol

^{-1}

**3. calculate molar conductivity at infinite dilution of H _{2}SO_{4} .Given molar conductivity at infinite dilution of HCl = 426 , molar conductivity at infinite dilution of NaCl = 126.5 and molar conductivity at infinite dilution of Na_{2}SO_{4} =260 at 25 degree celcius. (units are Scm^{2}/mol)**

**4. The molar conductivity of NaCl,HCl and CH _{3}COONa at infinite dilution are 126.45, 426.16 and 91 Scm^{2}mol^{−1} respectively. calculate molar conductivity at infinite dilution of CH_{3}COOH at infinite dilution^{ }.**

**5. At 291 K, the molar conductivities, at infinite dilution of NH _{4}CI, NaOH and NaCl are 129.8, 217.4 and 108.9 ohm^{-1}cm^{2} respectively. If the molar conductivity of a centinormal solution of NH_{4}OH is 9.33 ohm^{-1}cm^{2 }, what is the percentage dissociation of NH_{4}OH at this dilution ?**

**6. The molar conductivity of Ba(OH) _{2}, BaCl_{2} and NH_{4}CL at infinite dilution are 457.6, 240.6 and 129.8 Scm^{2}mol^{−1} respectively. calculate molar conductivity at infinite dilution of NH_{4}OH at infinite dilution ^{ }**

**Class 12 Electrochemistry Numerical Questions on Faraday’s Law**

**1.How much electricity in terms of Faradays is required to produce 20 g of calcium from molten CaCl _{2}? (Comptt. Delhi 2013)**

Answer: Ca2

^{2+}+ 2e

^{–}→ Ca

Thus, 1 mole of Ca i.e. 40 g of Ca requires electricity = 2F

∴ 20 g of Ca will require electricity = 1F

Similar Questions: How much electricity in terms of Faraday is required to produce

- (i) 20.0 g of Fe from molten FeCl
_{3}? - (ii) 40.0 g of Al from molten Al
_{2}O_{3}?

**2. Calculate the mass of Ag deposited at cathode when a current of 2 amperes was passed through a solution of AgNO _{3} for 15 minutes.**

**[Given: Molar mass of Ag = 108 g mol**

^{-1}1F = 96,500 C mol^{-1})(ii) Define fuel cell. (Delhi 2017)

Answer:

(i) Q = I × t …(Charge = Current ∝ Time)

. = 2 × 15 × 60 = 1800 C

∵ 96500 C deposit Ag = 108 g

∴ 1800 C deposit Ag = 10896500 × 1800

= 2.0145 g

**3. How many electrons flow through a metallic wire if a current of 0.5 A is passed for 2 hours? (Given: 1F = 96,500 C mol ^{-1}) (All India 2017)**

Answer:Given:

I = 0.5 A

t = 2 hrs. = 2 × 60 ×60 s = 7,200 s

Q = I × t = 0.5 × 7200 = 3,600 C

96,500 C electricity flows to produce

= 6.022 × 10

^{23}electrons

∴ 1 C electricity flows to produce

**4. State Faraday’s first law of electrolysis. How much charge in terms of Faraday is required for the reduction of 1 mol of Cu ^{2+} to Cu.**

Answer:

According to first law of Faraday’s “the amount of chemical reaction and hence the mass of any substance deposited/liberated at any electrode is directly proportional to the quantity of electricity passed through the electrolyte.”

The quantity of charge required for reduction of 1 mol of Cu^{2+}

= 2 faradays (∵ Cu^{2+} + 2e^{–} → Cu)

= 2 × 96500 C = 193000 C

Similar Questions : **How much charge is required for the following reductions:****(i) 1 mol of Al ^{3+} to Al?**

**(ii) 1 mol of Cu**

^{2+}to Cu?**(iii) 1 mol of MnO**

_{4}^{–}to Mn^{2+}?Get Electrochemistry important questions with answers for Class 12 and other exams. View the Important Question bank for Class 11 & 12 Chemistry syllabus. These important questions will play significant role in clearing the concepts of Chemistry. This question bank is designed, keeping NCERT in mind and the questions are updated with respect to upcoming Board exams. You will get here all the important questions from each topic of chemistry. Learn all the concepts of Electrochemistry topic of class 12 with these important questions with answers. Class 12 Electrochemistry Numerical Questions with solution 2021. You can access the notes of each topic from Class 11 & 12. Click Here for Detailed Chapter-wise Notes of Chemistry for Class 11th, JEE & NEET. You can access free study material for all three subject’s Physics, Chemistry and Mathematics. *Chemistryup.in* provides you complete edge to prepare for Board and Competitive Exams like JEE, NEET, BITSAT, etc. We have transformed classroom in such a way that a student can study anytime anywhere. With the help of A1 we have made the learning Personalized, adaptive and accessible for each and every one. Visit *Chemistryup .in *Website to download or view free study material for JEE & NEET.