55 Chapter 12 Electrochemistry ASSIGNMENT Single Choice Type Questions 1. In which of the following aqueous solution, H2 is not produced at cathode if inert electrode is used during electrolysis? 2. (1) AgCl (2) KCl (3) AlCl3 (4) NaCl The E.M.F. of cell at 25ºC is Eo Zn/ Zn2 + 3. = 0.77 V (1) –0.77 V (2) 0.77 V (3) 1.34 V (4) 2.14 V An electrochemical cell is given as If the cell is spontaneous then X should be 4. (1) 0.0001 (2) 0.001 (3) 0.002 (4) 0.02 Which of the following is correct statement? (1) Electronic conductance decreases with increase in temperature (2) Electronic conductance increase with increase in temperature (3) Electronic conductance does not depend on the temperature (4) Ionic conductance decreases with increase in temperature Corporate Office : Aakash Tower, 8, Pusa Road, New Delhi-110005. Phone : (011)-47623456 56 5. JEE SCORE for Main-2024 Electrochemistry Consider the reaction : Reaction I : Pb(s) + SO24− (aq) → PbSO 4 (s) + 2e − Reaction II : PbO2 (s) + SO24 − (aq) + 4H+ → PbSO 4 (s) + 2H2O(s) The correct statement is (1) Reaction I takes place at cathode when battery is in use (2) Reaction II takes place at cathode when battery is in use (3) Reaction II takes place at anode when battery is in use (4) Reaction I takes place at cathode during charging 6. When 9.65 A current is passed for X minute in molten AgCl solution and 3.24 g of Ag is deposited at cathode. The value of X is 7. (1) 2 (2) 3 (3) 4 (4) 5 Consider the statements. Statement I : Conductance of semiconductor increase with increase in temperature. Statement II : Conductance of solid always increase with increase in temperature. The correct statement(s)/are 8. (1) Only I (2) Only II (3) Both I and II (4) Neither I nor II In which of the following solution, pH of solution will increase during electrolysis? (Assume electrode is inert) (1) NaCl solution (aqueous) (concentrated) (2) Molten NaCl solution (3) Aqueous AgNO3 solution (4) Aqueous Ag2SO4 solution 9. o EM/M 3 + values for M1, M2 and M3 are –0.5 V, 1.36 V, 0.76 V respectively. An aqueous solution containing the tripositive ions is electrolysed. Which of the metal is most expected to be deposited at cathode under standard conditions? (1) M1 (2) M2 (3) M3 (4) M1, M2, M3 will be deposited in equal amounts Corporate Office : Aakash Tower, 8, Pusa Road, New Delhi-110005. Phone : (011)-47623456 Electrochemistry JEE SCORE for Main-2024 57 10. Consider the m (in S cm2 mol–1) values of the given species NaCl = 126.4, HCl = 425.9, NaAc = 91 and KCl = 149.8. Then select the correct value of m (in S cm2 mol–1) of ion indicated if value of m of Ac– is 40.9 S cm2 mol–1 (1) K+ : 73.5 (2) H+ : 359.6 (3) Cl– : 66.3 (4) Na+ : 60.1 11. Consider the mo values given for the species (in S cm2 mol–1) Na+ = 50.1 OH– = 199.1 Mg2+ = 106 Cl– = 76.3 To a 1 L solution of 0.1 M NaOH, 0.1 M MgCl2 is slowly added. Then select the correct statement out of the following. [Ksp Mg(OH)2 = 10–13 M3] (1) The conductance of the solution increases with the addition of MgCl 2 and keeps on increasing (2) The conductance of the solution decreases with the addition of MgCl2 and keeps on decreasing (3) The conductance of the solution increases upto a certain amount of MgCl 2 added and then decreases (4) The conductance of the solution decreases upto a certain amount of MgCl 2 added and then increases 12. Ksp of AgCl is 10–10 M2. If the values of m , Ag+ = 54.3 Scm2 mol–1 and m , Cl– = 65.5 S cm2 mol–1. Then find the specific conductance (in S cm–1) of saturated solution of AgCl (Neglect conductivity of water) (1) 2.4 × 10–11 (2) 2.4 × 10–8 (3) 1.2 × 10–8 (4) 1.2 × 10–6 13. An amalgam of cadmium is prepared by electrolysis of CdCl2 solution using mercury cathode. How long (approx) should a current of 5 A be passed in order to prepare Cd-Hg amalgam containing 12.5% Cd(by weight) on a cathode of 4 g Hg. (Molar mass of Cd = 113 g/mol) (1) 193 s (2) 96.5 s (3) 386 s (4) 482.5 s 14. A certain current liberates 0.5 g of H2 in 2 hour. The amount of copper deposited at the cathode during the electrolysis Cu3(PO4)2 (aq) solution by consuming the same charge is (atomic mass of Cu = 63.5 amu) (1) 15.875 g (2) 63.5 g (3) 31.75 g (4) 190.5 g Corporate Office : Aakash Tower, 8, Pusa Road, New Delhi-110005. Phone : (011)-47623456 58 JEE SCORE for Main-2024 Electrochemistry 15. The resistance of a solution A is 50 solution B is 100 and that of solution C is 200 when all solutions are taken in the same conductivity cell separately. If equal volume of all three solution are mixed. What will be the resistance of the mixture using the same cell (Assume degree of dissociation of A, B & C does not changes on mixing)? (1) 80.1 (2) 92.6 (3) 85.7 (4) 104.9 16. By how much will the potential of half cell Cu+2/Cu change, if the solution is diluted to 100 times at 298 K? (1) Increases by 59 mV (2) Decreases by 59 mV (3) Increases by 29.5 mV (4) Decreases by 29.5 mV 17. The equilibrium constant for the reaction Sr (s) + Mg+2 (aq) Sr+2 (aq) + Mg (s) is 2.69 × 1012 at 25°C. The E° for a cell made up of Sr/Sr+2 and Mg+2/Mg half cells is (1) 0.3667 V (2) 0.7346 V (3) 0.1836 V (4) 3.667 V 18. The specific conductance of a saturated solution of AgCl is K –1 cm–1. The limiting ionic conductances of Ag+ and Cl– are x and y, respectively. The solubility product of AgCl is 1000 K (1) x+y (3) 1000 143.5 K x+y 2 (2) 1000 K x+y (4) 103 143.5 K x+y 2 19. Which of following type of plot would you expect from the titration of AgNO 3 against KCl solution? (1) (2) (3) (4) 20. Which is the correct order of deposition of anion? (1) SO4–2 > OH– > Cl– > Br– > I– (2) SO4–2 < OH– < CI– < Br– < I– (3) SO4–2 > Cl– > Br– > I– > OH– (4) Br– > Cl– > I– > SO4–2 > OH– Corporate Office : Aakash Tower, 8, Pusa Road, New Delhi-110005. Phone : (011)-47623456 Electrochemistry JEE SCORE for Main-2024 59 Numerical Value Type Questions 21. The emf of a cell corresponding to the reaction 2Ag+ (0.1 M) + H2 (1 atm) ⎯⎯→ 2Ag(s) + 2H+ (Eo + Ag / Ag = 0.80 V) is 1.04 V at 25ºC. Calculate the pH of the solution at the hydrogen electrode. 2.303 RT = 0.06 Use F 22. The conductivity of 0.001 M Na2SO4 solution is 2.6 × 10–4 S cm–1 and increases to 7.0 × 10–4 S cm–1 when the solution is saturated with CaSO4. The molar conductivities of Na+ and Ca2+ ions are 50 and 120 S cm2 mol–1 respectively. By neglecting conductivity of water used, the solubility product of CaSO 4 is y × 10–6. Find the value of 4y (To the nearest integer). 23. Find the cell potential of lead storage battery during discharging (in volt) at pH = 5 and 0.1 M SO42– at 25°C. Given : Ecell = 1.97 V, o 2.303 RT = 0.06 F 24. Molar conductivity of 0.1 M CH3COOH at certain temperature is 256.62 S cm2 mol–1. What is its pH? [ Ho + = 349.6 S cm2 mol–1, oCH COO− = 78.1 S cm2 mol–1 and log(6) = 0.78] 3 25. AgBr(s) Ag+(aq) + Br–(aq); E° = –0.72 V If the value of Ksp at 25°C is 10–b then the value of b is (Use, 2.303 RT = 0.06 ) F 26. For a cell, Cu(s) | Cu2+ (0.001M) || Ag+ (0.01M) | Ag(s) the cell potential is found to be 0.43 V at 298 K. The magnitude of standard electrode potential for Cu2+/Cu is ______ × 10–2 V. 2.303RT Θ = 0.06 V Given : EAg+ / Ag = 0.80 V and F 27. Resistance of a conductivity cell (cell constant 129 m –1) filled with 74.5 ppm solution of KCI is 100 (labelled as solution 1). When the same cell is filled with KCl solution of 149 ppm, the resistance is 50 (labelled as solution 2). The ratio of molar conductivity of solution 1 and solution 2 is 1 = t 10–3 . The value of t is 2 _________. (Nearest integer) (Given : molar mass of KCl is 74.5 g mol–1). 28. The cell potential for Zn|Zn2+(aq)||Snx+|Sn is 0.801 V at 298 K. The reaction quotient for the above reaction is 10–2. The number of electrons involved in the given electrochemical cell reaction is _____. Given : E 2 + = –0.763V, E x + = +0.008V Zn |Zn Sn |Sn 2.303RT and = 0.06 V F 29. The cell potential for the given cell at 298 K Pt | H2 (g, 1 bar) | H+ (aq) || Cu2+ (aq) | Cu(s) is 0.31 V. The pH of the acidic solution is found to be 3, whereas the concentration of Cu2+ is 10–x M. The value of x is _____. = 0.34 V and (Given: EΘ Cu2 + /Cu 2.303 RT = 0.06 V ) F Corporate Office : Aakash Tower, 8, Pusa Road, New Delhi-110005. Phone : (011)-47623456 60 JEE SCORE for Main-2024 Electrochemistry 30. A dilute solution of sulphuric acid is electrolysed using a current of 0.10 A for 2 hours to produce hydrogen and oxygen gas. The total volume of gases produced at STP is ____ cm3. (Nearest integer) [Given : Faraday constant F = 96500 C mol–1 at STP, molar volume of an ideal gas is 22.7 L mol–1] 31. Consider the following cell reaction 9 CdSO4 H2O(s) + 2Hg(l) . 5 9 Cd(s) + Hg2SO4(s) + H2O(l) 5 The value of Ecell is 4.315 V at 25°C. If Ho = –825.2 kJ mol–1, the standard entropy change So in J K–1 is 0 _______. (Nearest integer) [Given : Faraday constant = 96487 C mol–1] 32. For the cell Cu(s) | Cu2+ (aq) (0.1 M) || Ag+ (aq) (0.01 M) | Ag(s) the cell potential E1 = 0.3095 V For the cell Cu(s) | Cu2+ (aq) (0.01 M) || Ag+ (aq) (0.001 M) Ag(s) the cell potential = _____ × 10 –2 V. (Round off to the Nearest Integer). [Use : 2.303 RT = 0.059 ] F 33. Copper reduces NO3− into NO and NO2 depending upon the concentration of HNO 3 in solution. (Assuming fixed [Cu2+] and PNO = PNO2 = 1 bar), the HNO3 concentration at which the thermodynamic tendency for reduction of NO3− into NO and NO2 by copper is same is 10x M. The value of 2x is ______. (Rounded-off to the nearest integer) = 0.96 V, ENO [Given, ECu2 + /Cu = 0.34 V, ENO = 0.79 V and at 298 K, − − /NO /NO 3 3 2 RT (2.303) = 0.059] F ❑ ❑ ❑ Corporate Office : Aakash Tower, 8, Pusa Road, New Delhi-110005. Phone : (011)-47623456