Electrochemistry

ELECTRO CHEMISTRY

  • Deals with the relationship between current electricity and chemical reactions.
  • Electrolytes: Substances that dissociate into ions in solution.
    • Strong electrolytes: NaCl, KCl, Na2SO4, AgNO3, CuSO4, ZnSO4
    • Weak electrolytes: CH3COOH, NH4OH

Electrochemistry

  • Electrolytic cell:
    • Chemical reactions occur when current is passed through the solution of an electrolyte.
  • Galvanic cell:
    • Current is generated due to the occurrence of certain chemical reactions.

ELECTROLYTIC CELL

  • At cathode (Reduction occurs):
    • Na+(l)+eNa(s)Na^+(l) + e^- → Na(s)
  • At anode (Oxidation occurs):
    • Cl(l)12Cl2(g)+eCl^-(l) → {1 \over 2} Cl_2 (g) + e^-
  • Overall reaction:
    • Na+(l)+Cl(l)Na(s)+12Cl2(g)Na^+(l) + Cl^- (l) → Na (s) + {1 \over 2} Cl_2 (g)
  • Electrolysis:
    • Movement of ions of electrolyte towards respective electrodes and their subsequent reduction and oxidation when current is passed through electrolytic solution.

Preferential Discharge Theory

  • If two cations approach, the cation with a higher reduction potential gets reduced preferentially.

  • Reduction Potential: Tendency to get reduced.

    • Order of reduction potential: Na^+ < Mg^{2+} < Al^{3+} < Zn^{2+} < H^+ < Cu^{2+} < Ag^+
  • Reduction at Cathode: Na+(aq)+eNa^+(aq) + e^- →

  • Oxidation at Anode: H+(aq)+e,Cl(aq),OH(aq)H^+(aq) + e^- →, Cl^- (aq) →, OH^- (aq) →

  • Oxidation Potential: Tendency to get oxidized

    • Order of oxidation potential: SO4^{2-} < CO3^{2-} < NO_3^- < Cl^- < OH^-
    • 2OH(aq)H<em>2O(l)+12O</em>2(g)+2e2OH^- (aq) → H<em>2O(l) + {1 \over 2} O</em>2(g) + 2e^-
  • Aq. CuSO4 solution

    • Cathode: Cu2++2eCu(s)Cu^{2+} + 2e^- → Cu(s)
    • Anode: 2H<em>2O(l)O</em>2(g)+4H++4e2H<em>2O(l) → O</em>2(g) + 4H^+ + 4e^-
  • Aq. Na2SO4 solution

    • Cathode: H2OH_2O →
    • Anode: 2OH12H<em>2O(l)+12O</em>2(g)+2e2OH^- → {1 \over 2} H<em>2O (l) + {1 \over 2} O</em>2(g) + 2e^-
  • Aq. AgNO3 solution

    • Cathode: Ag++eAg(s)Ag^+ + e^- → Ag(s)
    • Anode: 2OH12H<em>2O+12O</em>2+2e2OH^- → {1 \over 2} H<em>2O + {1 \over 2} O</em>2 +2e^-
  • At Cathode: Na+(g)+eNaHgNa^+(g) + e^- → Na-Hg

  • At Anode: Cl12Cl2(g)+eCl^- → {1 \over 2} Cl_2 (g) + e^- or OHOH^- →

  • Electrode: Hg/ Hg2Cl2 Calomel electrode

  • At Cathode (Reduction):

    • Zn2+(g)+2eZn(s)Zn^{2+} (g) + 2e^- → Zn (s)
  • At Anode (Oxidation):

    • Zn(s)Zn2+(g)+2eZn (s) → Zn^{2+} (g) + 2e^-
  • Homework

    • Aq. ZnSO4 solution
      • Cathode: Pt
      • Anode: Hg2Cl2
    • Aq. Na2SO4 solution
      • Cathode:
      • Anode:
  • Revise Notes 2 times

  • Complete Homework.

  • Best of luck

ELECTROLYTIC CONDUCTANCE

  • Conductance is the flow of charge.

  • Electrolytic resistance arises due to:

    • Solute – solute interaction: Force of attraction between cation & anion of electrolytes.
    • Solute – solvent interaction (Electrophoretic effect)
  • Electrolytic conductance arises due to the flow of ions.

  • Resistance is the opposition offered in the flow of charge.

  • Factors affecting electrolytic Resistance:

    • RlR ∝ l
    • R1AR ∝ {1 \over A}
    • RlAR ∝ {l \over A}
    • R=.lAR = ∫ . {l \over A}
    • K= Conductivity / specific conductivity
    • C= Conductance
    • lA=cellconstant{{l \over A}} = cell constant
    • 1=1R.lA{1 \over ∫} = {1 \over R} . {l \over A}
    • 𝐾=𝐶.lA𝐾 = 𝐶. {l \over A}

Physical significance of specific conductivity (K)

  • Specific conductivity (K) of an electrolytic solution is equal to conductance offered by unit volume of electrolytic solution when electrodes are unit distance apart.

  • K=𝐶.lAK= 𝐶. {l \over A}

    • If l = 1cm & A = 1cm2
    • 𝐾=𝐶.11𝐾 = 𝐶. {1 \over 1}
  • Unit of ‘K’

    • 𝐾=𝐶.lA𝐾 = 𝐶. {l \over A}
    • 𝐾=cmcm2𝐾 = {cm \over cm^2}
    • 𝐾=ohm1cm1𝐾 = ohm^{-1}cm^{-1}
    • K (NaCl solution) = 20 Scm-1
    • 𝐾=Sm2𝐾 = Sm^2
    • Scm2=100Sm2Scm^2 = 100 Sm^2
  • Cal. Specific conductivity of KBr solution having resistance of 100Ω100 \Omega in an electrolytic cell of length = 10 cm & area of cross section 100cm2100 cm^2.

MOLAR CONDUCTIVITY (Λm\Lambda_m)

  • It is the total conductance offered by 1 mole of an electrolyte when electrodes are unit distance apart.

  • ‘M’ moles of electrolyte → 1000 cc

  • 1 moles electrolyte → 100m\frac{100}{m} cc solution

  • 1cc solution → K

  • 1000mccsolutionk11×1000m{1000 \over m} cc solution → k {1 \over 1} × {1000 \over m}

  • Λ𝑚=𝐾×1000M\Lambda_𝑚 = 𝐾 × {1000 \over M}

  • Unit of Λm\Lambda_m

    • Λ𝑚=𝐾×1000M\Lambda_𝑚 = 𝐾 × {1000 \over M}
    • Λ𝑚=Scm1Mol×cm3\Lambda_𝑚 = Scm^{-1} {Mol × cm^3}
    • Λ𝑚=Scm1mol1\Lambda_𝑚 = Scm^{-1}mol^{-1}
    • Another unit ofΛ𝑚\Lambda_𝑚
      • Scm2mol1Scm^2mol^{-1}
      • 1Sm2mol1=104Scm2mol11Sm^2 mol^{-1} = 10^4 Scm^2mol^{-1}
  • Cal. Λ𝑚\Lambda_𝑚 of 0.1 M NaBr solution whose resistance is found to be 200Ω200\Omega in an electrolytic cell having cell constant 0.1 cm-1 .

EFFECT OF DILUTION ON SPECIFIC CONDUCTIVITY (K)

  • On dilution, specific conductivity of an electrolytic solution decreases because the number of ions per unit volume decreases on dilution.

  • Cal. ‘K’ of 0.05 M KCl solution whose molar conductivity is 100 sm2mol1sm^2mol^{-1} in a cell having cell constant 0.01 m-1 .

    • A. 10 Scm-1
    • B. 1/100 Scm-1
    • C. 1/1000 Scm-1
    • D. none
  • Revise Notes 2 times

  • Complete Homework.

  • NCERT Reading

  • Best of luck

  • Electrolytic conductance arises due to flow of ions.

  • K=clK = cl

  • Sem-1/sm-1

  • Scm2=100sm1S cm^2 = 100 sm^{-1}

  • ΛM=K1000M\Lambda M= K {1000 \over M}

  • Scm2mor1orSm2moi1Scm^2 mor^{-1} or Sm^2 moi^{-1}

  • Sm^2 mal ^{-1} => 10^4 Semme

EFFECT OF DILUTION ON MOLAR CONDUCTIVITY

  • Debye. Haeckel – Onsanger theory

    • This theory gives the variation of Λm\Lambda_m of strong electrolytes with dilution
    • Λ<em>mNaCl=λ</em>mNa++λm(Cl)\Lambda<em>m NaCl = \lambda</em>m Na^+ + \lambda_m (Cl^-)
    • On adding water to a solution of strong electrolyte Λ<em>m\Lambda<em>m of strong electrolyte increases because on dilution, ions move away from each other, thus resistance decreases & Λ</em>m\Lambda</em>m increases
  • Strong electrolyte solution

    • Λm\Lambda_m ∝ of strong electrolyte can be determined by the extrapolation method
    • Λm\Lambda_m^∝ = molar conductivity at infinite dilution
    • Λm\Lambda_m^∝ of an electrolyte is the max possible molar conductivity an electrolyte can show
    • On dilution concentration decreases
  • Variation of Λm\Lambda_m of weak electrolyte with dilution

    • Weak electrolytes are not 100% dissociated into ions.
    • On dilution, weak electrolyte dissociates more
    • Λm\Lambda_m for weak electrolyte cannot be determined by the extrapolation method
    • =KaC∝= {K_a \over C}

KOHLRAUSCH’S LAW OF INDEPENDENT MIGRATION OF IONS

  • At infinite dilution, each ion moves with its own characteristic conductance i.e, conductance of an ion is independent of the presence of other ions in its vicinity

APPLICATION OF KOHLRAUSCH’S LAW

  • Cal of Λm\Lambda_m^∝ of weak electrolytes

    • Λm(HCl)=100\Lambda_m^∝ (HCl)=100

    • Λ<em>m(CH</em>3COONa)=200\Lambda<em>m^∝ (CH</em>3COONa)=200

    • Λm(NaCl)=80\Lambda_m^∝ (NaCl)=80

    • Cal . Λm\Lambda_m^∝ of CH3COOH=?

    • At infinite dilution, a weak electrolyte is 100% dissociated

    • Degree of dissociation (∝) of weak electrolyte at conc ‘C’

      • =Λ<em>mcΛ</em>m∝= {\Lambda<em>{mc} \over \Lambda</em>m^∝}
      • Λmc=K×1000M\Lambda_{mc} = {K × 1000 \over M}
      • M= concn = C
  • Cal degree of dissociation of 0.1 M crotonic acid (HC) if its sp conductivity is 0.01 Scm-1 .

    • Λm(NaC)=100Scm2mol1\Lambda_m^∝(NaC) = 100 Scm^2mol^{-1}
    • Λm(HCl)=50Scm2mol1\Lambda_m^∝(HCl) = 50 Scm^2mol^{-1}
    • Λm(NaCl)=20Scm2mol1\Lambda_m^∝(NaCl) = 20 Scm^2mol^{-1}
  • Revise Notes 2 times

  • Complete Homework. eg. 2.7, 2.8, 2.9. (H.W)

  • NCERT Reading.

  • Reading. of Kohlrausch law.

  • Best of luck

Topics to be covered

  • Batteries
    • Dry cell
    • Pb-storage battery
    • Fuel Cell

Batteries

  • Batteries
    • Primary Batteries (Cannot be recharged)
      • Dry Cell
      • Mercury Cell
    • Secondary Batteries (Can be recharged)
      • Lead storage battery
      • Nickel-Cadmium cell
    • Fuel Cells
  • The arrangement of two or more galvanic cells connected in the series

Dry Cell (Leclanche Cell)

  • Anode : Zn(s)Zn2++2eZn(s) → Zn^{2+} + 2e^-
  • Cathode : MnO<em>2+NH</em>4++eMnO(OH)+NH3MnO<em>2 + NH</em>4 ^+ + e^- → MnO(OH) + NH_3

Dry Cell (Leclanche Cell)

  • Manganese is reduced from +4 to +3 state.
  • Ammonia produced in the reaction forms a complex with Zn2+Zn^{2+} to give [Zn(NH<em>3)</em>4]2+[Zn(NH<em>3)</em>4]^{2+}
  • The cell has a potential of nearby 1.5 V.
  • Used in transistors and clocks.

Mercury Cell

  • Zinc – mercury amalgam as anode and a paste of HgO and carbon as the cathode.
  • The electrolyte is a paste of KOH and ZnO.
  • Used in hearing aids, watches
  • The cell potential is approximately 1.35 V.
    • Anode : Zn(Hg)+20HZnO(s)+H2O+2eZn(Hg) + 20H^- → ZnO(s) + H_2O + 2e^-
    • Cathode : HgO+H2O+2eHg(I)+2OHHgO + H_2O + 2e^- → Hg(I) + 2OH^-
    • Overall reaction : Zn(Hg)+HgO(s)ZnO(s)+Hg(I)Zn(Hg) + HgO(s) → ZnO(s) + Hg(I)

Lead storage battery

  • Negative plates: lead grids filled with spongy lead.
  • Positive plates: lead grids filled with PbO,
  • 38% sulphuric acid solution

Lead storage battery

  • Lead anode and a grid of lead packed with lead dioxide (PbO2PbO_2) as cathode.

  • A 38% solution of H<em>2SO</em>4H<em>2SO</em>4 is electrolyte.

    • Anode : Pb(s)+SO<em>42(aq)PbSO</em>4(s)+2ePb(s) + SO<em>4 ^{2-} (aq) → PbSO</em>4(s) + 2e^-
    • Cathode : PbO<em>2(s)+SO</em>42(aq)+4H+(aq)+2ePbSO<em>4(s)+2H</em>2O(I)PbO<em>2(s) + SO</em>4 ^{2-} (aq) + 4H^+(aq) + 2e^- → PbSO<em>4(s) + 2H</em>2O(I)
    • Overall reaction: Pb(s)+PbO<em>2(s)+2H</em>2SO<em>4(aq)2PbSO</em>4(s)+2H2O(I)Pb(s) + PbO<em>2(s) + 2H</em>2SO<em>4(aq) → 2PbSO</em>4(s) + 2H_2O(I)
  • On charging the battery the reaction is reversed and PbSO<em>4(s)PbSO<em>4(s) on the anode and cathode is converted into Pb and PbO</em>2PbO</em>2, respectively.

  • Anode : 2H<em>2(g)+4OH(aq)4H</em>2O(I)+4e2H<em>2(g) + 4OH^-(aq) → 4H</em>2O(I) + 4e^-

  • Cathode : O<em>2(g)+2H</em>2O(I)+4e4OH(aq)O<em>2(g) + 2H</em>2O(I) + 4e^- → 4OH^-(aq)

  • Overall reaction being : 2H<em>2(g)+O</em>2(g)2H2O(I)2H<em>2(g) + O</em>2(g) → 2H_2O(I)

  • The cell was used for providing electrical power in the Apollo space programme.

  • The water vapors produced during the reaction were condensed and added to the drinking water supply for the astronauts.

  • Catalysts like finely divided platinum or palladium metal are incorporated into the electrodes for increasing the rate of electrode reactions.

  • Fuel cells produce electricity with an efficiency of about 70% compared to thermal plants whose efficiency is about 40%.

  • Question

    • Which of the following cell is a secondary cell ?
      • A Mercury cell
      • B Ni cell
      • C Dry cell
      • D Fuel cell
  • Question

    • Which of the following material is not present in a dry cell ?
      • A MnO2
      • B NH4Cl
      • C ZnCl2
      • D KCl
  • Question

    • Which of the following material is not present in mercury cell ?
      • A HgO
      • B KOH
      • C Zinc
      • D HgCl2
  • Question

    • The approximate voltage of dry cell is:
      • A 2.0
      • B 1.2 V
      • C 6 V
      • D 1.5
  • Homework

    • Complete Chap. Revision
    • NCERT Reading
    • Ncert eq., intex Que, Exercise.

FARADAY’S LAWS OF ELECTROPYSIS

  • It states that the mass of metal deposited at the cathode is directly proportional to the amount of charge passed through the solution

    • At Cathode Ag+(aq)+eAg(s)Ag^+(aq) + e^- → Ag (s)
  • ‘Z’ is characteristic of element

    • First LAW m𝜃𝑚=𝑍𝜃m∝ 𝜃 → 𝑚 = 𝑍𝜃
    • 𝑚=𝑍×𝐼×𝑇𝑚 = 𝑍 × 𝐼 × 𝑇
    • Z= Electrochemical equivalent
  • Physical significance of ‘Z’

    • 𝑚=𝑍×𝜃𝑚 = 𝑍 × 𝜃
    • 𝑚=𝑍×1𝑚 = 𝑍 × 1
    • If 𝜃=1Coulomb𝜃 = 1 Coulomb then 𝑚=𝑍𝑚 = 𝑍
  • ‘Z’ of an element is equal to the mass of that element deposited by 1 coulomb charge

  • Faraday (F) Charge on 1 mole ee^-

    • (1F)=1.6×1019×6.023×1023C(1F) = 1.6 × 10^{-19} × 6.023 × 10^{23} C
    • 1𝐹=96500𝐶1𝐹 = 96500 𝐶
  • E= equivalent weight = Atomicwtvalency\frac{Atomic wt}{valency}

    • Ag+1;Cu2+;Al3+Ag^{+1} ; Cu^{2+} ; Al^{3+}
  • Cal the charge required to deposit 9 gm A13+A1^{3+}.

    • Al+3+3e=Al(s)Al^{+3} +3e^- = Al (s)
    • 1 mol A1^{3+} -> 3 mole^-
    • 27g -> Al^{3+}
    • Igm Al^{3+} -> 3F charge
    • x gm Al^{3+} -> {3F \over 27} charge
  • Q. For how many seconds a current of 10A must be passed through an electrolytic solution order to deposit 10.8 Ag+Ag^+.

  • Cal the Volume of gases evolved at STP if a current of 10A is passed through an electrolytic solution of Na<em>2SO</em>4(aq)Na<em>2SO</em>4(aq) for 965 sec.

  • Q. An aq. Solution of AgNO3AgNO_3 is electrolyzed using Pt electrodes each having surface area 10 cm2cm^2 by a current of 965 Amp for 10 sec. Cal the thickness of Ag deposited on cathode plate (density = 10.8 of Ag gm/cc)

SECOND LAW

  • If the same charge is passed through two electrolytic solutions

    • Eq.wt=AtomicwtvalencyEq. wt = {Atomic wt \over valency}
    • M<em>AM</em>B=E<em>AE</em>B{M<em>A \over M</em>B} = {E<em>A \over E</em>B}
  • Cal the charge required to deposit 5.6 gm Cd from CdCl2CdCl_2 solution (Atomic wt of Cd = 112)

    • Cd2++2eCd(s)Cd^{2+} + 2e^- → Cd(s)
    • Imol Cd - 2F
    • 112gm Cd-) 2x96500
    • 5.6gm cd -) 2x96500 /12 * 56
    • =) 9650 C
  • What current (in A) must be passed for 10 min. through a solution of aq ZnSO<em>4ZnSO<em>4 solution in order to produce 44.8 L H</em>2(g)H</em>2(g) at STP

  • Revise Notes 2 times

  • Complete Homework.

  • NCERT Reading

  • Best of luck

GALVANIC CELL

  • It is an arrangement in which a certain chemical reaction which leads to the generation of electricity

  • i.e., it is a device converts chemical energy into electrical energy

  • Galvanic cell consists of 2 electrodes:

    • Electrodes: Any arrangement which on combining with a similar arrangement either undergoes oxidation or reduction
      • metal-metal ion electrode
      • gas-gas ion electrode

Galvanic Cell

  • Net cell reaction Zn(s)Zn2+(g)+2eandCu2+(g)+2eCu(s)Zn(s) → Zn^{2+} (g) + 2e^- and Cu^{2+}(g) + 2e^- → Cu(s)

  • Zn(s)+Cu2+(g)Zn2+(g)+Cu(s)Zn(s) + Cu^{2+}(g) → Zn^{2+} (g) + Cu(s)

  • Salt Bridge

    • Inverted U – shaped tube
    • Electrolyte solution + Agar - Agar
    • Salt bridge maintains electrical neutrality
    • It completes the circuit
      • Zn (s) → Zn2+Zn^{2+} (g) + 2e-
      • Cu2+Cu^{2+} (g) + 2e- → Cu(s)
  • galvanic cell can also be formed without salt bridge

  • external circuit → current direction (cathode to Anode)

  • internal circuit → current direction (anode to cathode)

Representation of a galvanic cell

  • Zn(s)Zn2+(g)Cu2+(g)Cu(s)Zn (s) | Zn^{2+}(g) | Cu^{2+}(g) | Cu(s)

  • Zn(s)Zn2+(g)+2eZn(s) → Zn^{2+}(g) + 2e^-

  • Cu2+(g)+2eCu(s)Cu^{2+}(g) + 2e^- → Cu(s)

  • PtH2(g)H+(ax)Ag+(ar)Ag(s)]Pt|H_2(g) | H^+ (ax) || Ag^+ (ar) | Ag(s)]

ELECTROMOTIVE FORCE (EMF)

  • EMF is the potential difference in an open circuit
    • EMF=E<em>cathodeE</em>anodeEMF = E<em>{cathode} - E</em>{anode}
  • Electrode potential (reduction potential)

Electrode potential

  • It is the potential difference set up between a metal rod & solution of its own ions

  • Electrode potential

    • Oxidation potential
    • reduction potential
    • more is the tendency to get oxidized, more will be oxidation potential
    • more is the tendency to get reduced, more will be reduction potential
  • E<em>oxidation=E</em>reductiE<em>{oxidation} = -E</em>{reducti}

  • EZnZn2+=xvoltE_{Zn|Zn^{2+}} = x volt

  • EZn2+Zn=xvoltE_{Zn^{2+}|Zn} = -x volt

  • Two electrode are attached. Cal. EMF of cell

    • E<em>A+A=0.3V;E</em>B+B=0.7VE<em>{A^+|A}= 0.3 V ; E</em>{B^+|B}= 0.7 V
    • A) 1V
    • B) 0.4 V
    • C) 0.2 V
    • D) none
  • Cal. EMF of cell obtained by combining X & Y electrode

    • E<em>XX+=0.8V;E</em>YY=0.5WE<em>{X|X^+}= 0.8 V ; E</em>{Y|Y^-}= 0.5 W
    • A) 0.3 V
    • B) 1.3 V
    • C) -0.3 V
    • D) none
  • Cal. EMF of cell if both A & B are combined

    • E<em>AA=0.4V;E</em>BB=0.1VE<em>{A^-|A}= 0.4 V ; E</em>{B|B^-}= 0.1 V
    • A) 0.5 V
    • B) 0.3 V
    • C) 0.2 V
    • D) none
  • Order of oxidizing nature?

    • E<em>A+A=0.3V;E</em>B+B=0.7V;EC+C=0.3VE<em>{A^+|A}= 0.3 V ; E</em>{B^+|B}= 0.7 V ; E_{C^+|C} = -0.3 V
    • A) A^+ < B^+ < C^+
    • B) C^+ < A^+ < B^+
    • C) A^+ < C^+ < B^+
    • D) none
  • Identify the correct statement.

    • E<em>XX+=0.8V;E</em>YY+=0.3V;EZZ+=0.5VE<em>{X|X^+}= -0.8 V ; E</em>{Y|Y^+}= -0.3 V ; E_{Z|Z^+} = 0.5 V
    • A) X+X^+ can oxidize both Y & Z
    • B) Z can reduce both X+X^+ & Y+Y^+
    • C) X can reduce Y+Y^+ but not Z+Z^+
    • D) none
  • Revise Notes 2 times

  • Complete Homework.

  • Best of luck

  • Factors affecting electrode potential values

    • Concentration of ions
    • Temperature
    • pressure
  • Standard conditions for electrodes

    • Concn of ion = 1M
    • T = 298K = 25oC
    • P = 1 atm = 1 Bar
  • Standard electrodes

  • Calculation of standard electrode potential

    • Standard Hydrogen electrode (SHE/NHE) [Reference for measuring electrode potential values]
      • E<em>H</em>2/H+0=0E<em>{H</em>2/H^+}^0 = 0
      • E<em>H+/H</em>20=0E<em>{H^+/H</em>2}^0 = 0
  • Q. Cal. EAg+/ngE_{Ag^+/ng}?

    • EMF0=E<em>cathodeE</em>anodeEMF^0 =E<em>{cathode} - E</em>{anode}
  • Electrochemical series

    • It is the ordered arrangement of different elements in increasing or decreasing order of their standard electrode potential
      • E{Na^+/ Na}^0 < E{Mg^{2+}/ Mg}^0 < E{Fe^{2+}/ Fe}^0 < E{Zn^{2+}/ Zn}^0 < E{H^+/ H2}^0 < E{Cu^{2+}/ Cu}^0 < E{Ag^+/ Ag}^0
  • Cu(s)Cu2+(g)Ag+(g)Ag(s);Cal.Ecell0Cu (s) | Cu^{2+}(g) || Ag^+ (g) | Ag (s) ; Cal. E_{cell} ^0

    • ECu/Cu2+0=0.3VE_{Cu / Cu^{2+}}^0 = -0.3 V
    • EAg+/Ag0=0.8VE_{Ag^+ / Ag}^0 = 0.8 V
  • Q. Exhibit highest boiling

    • Lighest boiling point?
      • A). 0.1 M Na₂ Soy => i = 2-1 =) 1
      • B). 0.15M C64 1206 => i = 0
      • C). 0.1M Urea =) i = 0
      • D). O. IM KNO3 => i = 1-1 = 0
  • ΔG=WnonPV\Delta G = W_{non-PV}

  • ΔG=electricalwork\Delta G = electrical work

  • ΔG=NFe\Delta G = -NFe

  • ΔG0=NFE0\Delta G^0 = -NFE^0

  • W=qxv

  • -NFE

  • Q. ECu2+/Cu0=0.2VE_{Cu^{2+}/ Cu}^0 = 0.2 V

    • ECu+/Cu0=0.7VE_{Cu^+/ Cu}^0 = 0.7 V
    • \Cal. E_{Cu^{2+}/ Cu}^0 = ?
  • Q. E<em>Fe2+/Fe0=0.5V;E</em>Fe3+/Fe0=0.8VE<em>{Fe^{2+}/ Fe}^0 = 0.5 V ; E</em>{Fe^{3+}/ Fe}^0 = 0.8 V

    • \Cal. E_{Fe^{3+}/ Fe^{2+}}^0 = ?
  • Cal. Of non-standard electrode potential

    • Nernst Equation
    • CZn2+=0.1MC_{Zn^{2+}}=0.1M
    • E2n/2n=?E_{2n^/2n}=?
    • E=E°0.0nlog101[m+]E = E^°- {0.0 \over n} log 10 {1 \over [m+ ]}
  • Cal. Electrode potential of H2 – electrode containing solution having pH = 5 at 298K & 1 atm Pressure

    • 2H+(aq)+2eH2(g)2H^+(aq) + 2e^- → H_2(g)
  • Cal. Non-standard EMF of a galvanic cell E0=0.80.30.5VE^0 = 0.8-0.3 0.5 V

    • E<em>Cu2+/Cu0=0.3V;E</em>Ag+/Ag0=0.8VE<em>{Cu^{2+}/ Cu}^0 = 0.3 V ; E</em>{Ag^+/ Ag}^0 = 0.8 V
  • The correct value of cell potential in volt for the reaction that occurs when the following two half cells are connected, is

    • Fe2+(aq)+2eFe(s)Fe^{2+} (aq) + 2e^- → Fe(s), E0=0.44VE^0 = - 0.44 V
    • 𝐶𝑟<em>2𝑂</em>7(𝑎𝑞)2+14𝐻++6𝑒2𝐶𝑟3++7𝐻2𝑂𝐶𝑟<em>2𝑂</em>7(𝑎𝑞) ^{2−} + 14𝐻^+ + 6𝑒^− → 2𝐶𝑟^{3+} + 7𝐻_2𝑂, 𝐸0=+1.33𝑉𝐸^0 = +1.33 𝑉
    • A) +1.77 V
    • B) +2.65 V
    • C) + 0.01 V
    • D) +0.89 V
  • Two half cells reactions are given below.

    • 𝐶𝑜3++𝑒𝐶𝑜2+𝐸𝐶𝑜2+/𝐶𝑜3+0=1.81𝑉𝐶𝑜^{3+} + 𝑒 ^− → 𝐶𝑜^{2+}𝐸_{𝐶𝑜^{2+}/ 𝐶𝑜^{3+}}^0 = −1.81 𝑉
    • 2𝐴𝑙3++6𝑒2𝐴𝑙𝑠E𝐴𝑙/𝐴𝑙3+0=+1.66𝑉2𝐴𝑙^{3+} + 6𝑒^− → 2𝐴𝑙 𝑠 E_{𝐴𝑙 /𝐴𝑙^{3+}}^0 = +1.66 𝑉
    • The standard EMF of a cell with a feasible redox reaction will be:
      • A) -3.47 V
      • B) +7.09 V
      • C) +0.15 V
      • D) +3.47 V
  • A button cell used in watches functions as following Zn(s)+Ag<em>2O(s)+H</em>2O(l)2Ag(s)+Zn2+(aq)+2OH(aq)Zn(s) + Ag<em>2O(s) + H</em>2O (l) → 2Ag (s) + Zn^{2+}(aq) + 2OH^-(aq). If half cell potentials are:

    • Zn2+(aq)+2e;Eo=0.76VZn^{2+}(aq) + 2e^- ; Eo = -0.76 V
    • Ag<em>2O(s)+H</em>2O(l)+2e2Ag(s)+2OH(aq).E0=0.34VAg<em>2O(s) + H</em>2O (l) + 2e^- → 2Ag(s) + 2OH^-(aq). E^0 = 0.34 V. The cell potential will be:
      • A) 1.10 V
      • B) 0.42 V
      • C) 0.84 V
      • D) 1.32 V
  • Standard electrode potential for the cell with cell reaction Zn(s)+Cu2+(aq)Zn2+(aq)+Cu(s)Zn(s) + Cu^{2+} (aq) → Zn^{2+}(aq) + Cu(s) is 1.1 V. Calculate the standard Gibbs energy change for the cell reaction. (Given F=96487Cmol1F = 96487 C mol^{-1})

    • A) -200.27 J mol-1
    • B) -200.27 kJ mol-1
    • C) -212.27 kJ mol-1
    • D) -212.27 J mol-1
  • Find the emf of the cell in which the following reaction takes place at 298 K

    • Ni(s)+2Ag+(0.001M)Ni2+(0.001M)+2Ag(s)Ni(s) + 2Ag^+(0.001M) → Ni^{2+} (0.001M) + 2Ag(s)
    • (Given that E0cell=10.5V,2.303RTF=0.059E^0 cell=10.5 V, {2.303RT \over F} = 0.059 at 298 K)
      • A) 1.05 V
      • B) 1.0385 V
      • C) 1.385 V
      • D) None of these
  • Revise Notes 2 times

  • Complete Homework.

  • Best of luck

  • A button cell used in watches functions as following Zn(s)+Ag<em>2O(s)+H</em>2O(l)2Ag(s)+Zn2+(aq)+2OH(aq)Zn(s) + Ag<em>2O(s) + H</em>2O (l) → 2Ag (s) + Zn^{2+}(aq) + 2OH^-(aq). If half cell potentials are:

    • Zn2+(aq)+2e;Eo=0.76VZn^{2+}(aq) + 2e^- ; Eo = -0.76 V
    • Ag<em>2O(s)+H</em>2O(l)+2e2Ag(s)+2OH(aq).E0=0.34VAg<em>2O(s) + H</em>2O (l) + 2e^- → 2Ag(s) + 2OH^-(aq). E^0 = 0.34 V. The cell potential will be:
      • A) 1.10 V
      • B) 0.42 V
      • C) 0.84 V
      • D) 1.32 V
  • Standard electrode potential for the cell with cell reaction Zn(s)+Cu2+(aq)Zn2+(aq)+Cu(s)Zn(s) + Cu^{2+} (aq) → Zn^{2+}(aq) + Cu(s) is 1.1 V. Calculate the standard Gibbs energy change for the cell reaction. (Given F=96487Cmol1F = 96487 C mol^{-1})

    • A) -200.27 J mol-1
    • B) -200.27 kJ mol