VIJETA SERIES CLASS-12th PRACTICE SHEET (CHEMISTRY) Chapter: Electrochemistry Multiple Choice Answer Type Questions 1. In a galvanic cell, the salt bridge is used to; (1) produce current at a constant strength. (2) facilitate continuity of the cell reaction. (3) prevent accumulation of charges around the electrodes. (4) All of these 2. Three faradays of electricity was passed through an aqueous solution of iron (II) bromide. The weight of iron metal (At. wt. = 56) deposited at the cathode (in gm) is; (1) 56 (2) 84 (3) 112 (4) 168 3. The molar conductivity is maximum for the solution of concentration; (1) 0.001 M (2) 0.005 M (3) 0.002 M (4) 0.004 M 5. Match the Column Answer Type Questions 6. Assertion and Reason Answer Type Questions Directions: These questions consist of two statements each, printed as Assertion and Reason. While answering these questions, you are required to choose any one of the following four responses. 4. Assertion (A): Conductivity of all electrolytes decreases on dilution. Reason (R): On dilution, number of ions per unit volume decreases. (1) Both Assertion (A) and Reason (R) are True, and the Reason (R) is a correct explanation of the Assertion (A). (2) Both Assertion (A) and Reason (R) are True, but Reason (R) is not a correct explanation of the Assertion (A). (3) Assertion (A) is True, but the Reason (R) is False. (4) Assertion (A) is False, but Reason (R) is True. Assertion (A): Λm for weak electrolytes shows a sharp increase when the electrolytic solution is diluted. Reason (R): For weak electrolytes, degree of dissociation increases with dilution of solution. (1) Both Assertion (A) and Reason (R) are True, and the Reason (R) is a correct explanation of the Assertion (A). (2) Both Assertion (A) and Reason (R) are True, but Reason (R) is not a correct explanation of the Assertion (A). (3) Assertion (A) is True, but the Reason (R) is False. (4) Assertion (A) is False, but Reason (R) is True. Match the List-I with List-II. List-I A. P. m B. Ecell Q. C. R. D. G° S. (1) (2) (3) (4) 7. List-II Scm–1 m–1 S cm2mol–1 V A-(Q); B-(R); C-(S); D-(P) A-(Q); B-(S); C-(R); D-(P) A-(R); B-(S); C-(P); D-(Q) A-(Q); B-(P); C-(R); D-(S) Match the List-I with List-II. List-I List-II A. P. Intensive property m B. Q. Depends on number of Ecell ions/volume C. R. Extensive property D. r Gcell S. Increases with dilution (1) (2) (3) (4) A-(P); B-(Q); C-(R); D-(S) A-(S); B-(P); C-(Q); D-(R) A-(P); B-(S); C-(R); D-(Q) A-(R); B-(Q); C-(P); D-(S) [1] Very Short Answer Type Questions 8. conductance property of a solution containing one mole of the electrolyte. Both conductivity and molar conductivity change with the concentration of the electrolyte. The molar conductivity of a solution at infinite dilution, i.e., when concentration approaches zero is called limiting molar conductivity. The Kohlrausch law Independent migration of ions states that limiting molar conductivity of an electrolyte can be represented as the sum of the individual contributions of the anion and cation of the electrolyte. Determine the values of equilibrium constant (Kc ) and ΔG° for the following reaction; Ni(s) + 2Ag+ (aq) → Ni2+ (aq) + 2Ag(s) E° = 1.05 V (1F = 96500 C mol–1) 9. Calculate the time to deposit 1.27 g of copper at cathode when a current of 2A was passed through the solution of CuSO4. (Molar mass of Cu = 63.5 gmol–1, 1F = 96500 C mol–1) I. Which of the following is the SI unit of conductivity? (1) Sm–1 (2) Ohm–1 (3) S (4) Ohm Long Answer Type Question 10. (I) What is limiting molar conductivity? Why is there a steep rise in the molar conductivity of weak electrolyte on dilution? II. Which of the following equations represents the correct relationship between conductivity and molar conductivity of the solution? ( m) (1) m = (2) m = c c m (3) m = (4) m = + cm (II) Calculate the emf of the following cell at 298 K: Mg(s) | Mg2+ (0.1M) || Cu2+ (1.0 10−3 M) | Cu(s) [Given = Ecell = 2.71V ]. 11. (I) What are fuel cells? Give an example of a fuel cell. (II) Calculate the equilibrium constant (log Kc) and ΔrG° for the following reaction at 298 K. Cu(s) + 2Ag+ (aq) III. The unit of molar conductivity is; (1) S (2) Sm–1 (3) Sm2 mol–1 (4) Sm–1mol–2 Cu2+ (aq) + 2Ag(s) Given E0cell = 0.46 V and IF = 96500 C mol−1 IV. Λm for NaCl, HCl, HCl and NaAc are 126.4, 425.9 and 91.0 Scm2mol–1 respectively. Calculate Λ° for HAc. (1) 284.1 S cm2 mol–1 (2) 390.5 S cm2 mol–1 (3) 162.7 S cm2 mol–1 (4) 132.8 S cm2 mol–1 Case Based Study Answer Type Questions 12. Resistance is the property of a conductor due to which it opposes the flow of current through it. Electrical resistance of any object is directly proportional to its length and inversely proportional to its area of cross section. Inverse of resistance is known as conductance. Inverse of resistivity is known as conductivity. Molar conductivity is the ■■■ [2] Answer Key 1. (4) 5. (1) 2. (2) 6. (3) 3. (1) 7. (2) 4. (1) 12. I-(1); II-(2); III-(3); IV-(2) [ 3] Hints & Solutions Multiple Choice Answer Type Questions 1. 2. 3. (4) Salt bridge helps to facilitate the continuity of a cell by maintaining the flow of ions of the solution. It also helps to produce current at constant strength by circulating electrons from the solution, thus, preventing the accumulation of charges on or around the electrodes. Hence, option (4) is correct. (2) Fe2+ + 2e– → Fe n = 2, as 2 electrons are exchanged in this reaction 3F charge is passed which implies 3 moles electrons are passed. 1 mole of Fe is formed when 2 moles of electrons are passed. For 3 moles of electrons passed 1.5 moles of Fe will be formed. mass of iron deposited = 56 × 1.5 = 84g 5. Match the Column Answer Type Questions 6. (3) 7. (2) Very Short Answer Type Questions 8. n = no of electrons gained or lost = 2 F = Faraday’s constant E° = Standard E G = −2 96500 1.05 G = −202650 J The equilibrium constant is related to Gibbs free energy by following relation: G = −2.303RT log K G = Gibbs free energy R = Gas constant = 8.314 J/Kmol T = Temperature in kelvin = 298 K G = −2.303RT log K Hence, the solution having maximum molar conductivity has to be less concentrated. Here, Option 1 is the one which is having less concentration out of all other options and hence is the correct answer 4. (1) Conductivity always decreases with the decrease in concentration both for weak and strong electrolytes. This can be explained by the fact that the number of ions per unit volume that carry the current in a solution decreases on dilution. The standard emf of a cell is related to Gibbs free energy by following relation = −nFEcell G = Gibbs free energy Ni(s) + 2Ag+ (aq) →Ni2+ (aq) + 2Ag(aq) (1) Molar conductivity is defined as the conductivity of an electrolyte solution divided by the molar concentration of electrolyte. We know the relation between Molar conductivity and Molarity i.e. 1000 m = M m is inversely proportional to Molarity Assertion and Reason Answer Type Questions (1) Molar conductivity of weak electrolytic solution increases on dilution because as we add excess water to increase the dilution, degree of dissociation increases which lead to increase in number of ions in the solution. Thus, Λm shows a very sharp increase. –202650 J = –2.303 × 8.314 × 298 × log K K = 3.16 × 1035 9. From faraday’s law of electrolysis, we get E W = Zikt = it F where, W = Deposited amount E = Equivalent weight; F = Faraday i = Electricity passed; t = Time 63.5 2 t t = 965 sec 1.27 = 96500 [ 4] Long Answer Type Question 10. 11. (I) Limiting molar conductivity: It is the sum of limiting ionic conductivities of cation and the anions, each multiplied with the number of ions present in one formula unit of electrolyte. m = x+ + y− + and − → limiting molar conductivity of (I) The galvanic cells in which the energy of combustion of fuels is directly converted into electrical energy are called fuel cells. Fuel cells are different from ordinary galvanic cells. The common example of a fuel cell is a hydrogen-oxygen fuel cell. (II) Cu(s) + 2Ag+ (aq) Cu2+ (aq) + 2Ag(s) cation and anion There is steep rise in molar conductivity of weak electrolyte on dilution because as the concentration of weak electrolyte is reduced, more of it ionizes. Thus, increase in conductance with decrease in concentration is due to increase in number of ions in the solution. Eocell = 0.46V, G = −2nFEocell n = 2 G = −2 96500 0.46 G = −88780 J/mol G = −88780 J/mol −G = 2.303RTlogkc (II) Mg(s) | Mg2+ (0.1M) || Cu2+ (1.0 10−3 M) | Cu(s) 88780 = 2.303 8.314 298logkc Ecell = 2.71V . log k c = Reaction: Mg + Cu2+ → Mg2+ + Cu 2+ Mg → Mg 2+ + 2e Cu + 2e → Cu n=2 Case Based Study Type Questions 2+ Mg 0.0591 log 2 Cu 2+ 0.0591 0.1 = 2.71 − log 2 0.001 = 2.71 – 0.02955 log 102 = 2.71 – 0.02955 × 2 = 2.71 – 0.059 Ecell = 2.65 V Ecell = Ecell − 88780 2.303 8.314 298 logkc = 15.56 − − 1F = 96500C mol–1 12. I-(1), II-(2), III-(3), IV-(2) I. Conductivity (or specific conductance) of an electrolyte solution is a measure of its ability to conduct electricity. The SI unit of conductivity is siemens per meter (S/m). II. (2) III. (3) The unit of molar conductivity is Scm2mol–1. IV. (2) m(HAc)= + Ac = + + − + − + + − − − + H+ H Cl Ac Na Cl Na = m(HCl) + m(NaAc) − Am(NaCl) = (425.9 + 91.0 – 126.4)Scm2mol–1 = 390.5 Scm2mol–1 PW Web/App - https://smart.link/7wwosivoicgd4 Library- https://smart.link/sdfez8ejd80if [ 5]