Saturday 12 March 2016

ELECTROCHEMISTRY CLASS XII CHEMISTRY STUDY MATERIAL

L-3
ELECTROCHEMISTRY
POINTS TO BE REMEMBERED:-
Electrochemistry may be defined as the branch of chemistry which deals with the relationships between electrical energy and chemical changes taking place in redox reactions.
A  cell is of two types:-
I.   Electrochemical cells (Galvanic Cell)
II.                 Electrolytic cell.

In Galvanic cell the chemical energy of a spontaneous redox reaction is converted into electrical work.
In Electrolytic cell electrical energy is used to carry out a non-spontaneous redox reaction.
 Electrode Potential is the tendency of an element to loose or gain the electrons when it is in equilibrium with its ions.
                           M(s)       M n+ (aq) + ne-
 Standard Electrode Potential (E0) is the electrode potential at standard state (when   P=1 bar, T=298K & concentration=1M)
E0cell = E0cathode-E0anode
The standard potential of the cells are related of standard Gibbs energy.
rG°= -nFE0cell
The standard potential of the cells is related to equilibrium constant.
rG°= -RT lnk
rG°= -2.303RTlogK

Concentration dependence of the potentials of the electrodes and the cells are given by Nernst equation.
aA + bBcC + dD
Nernst equation can be written as Ecell = E°cell – (RT/nF) ln
[][ ]
·         Substance which dissociate into ions in aq. Solution & conduct electricity is called Electrolyte.
·         Degree of Dissociation (α) is the ratio of no. of ions produced to the total no. of molecules of electrolyte.
·         Conductance(c) is the reciprocal of resistance.
                     C=1/R
·         Electrolytic conductance increases with increase in temp.
·         The reciprocal of resistivity is called Conductivity or sp. Conductance.
                                  Κ=1/ρ =1/R × l/a
                               It depends on no. of ions per unit volume.
·         Molar Conductance,     λm =1000× Κ/C(in mole/l)
·         Molar Conductivity decreases with increase in concentration but it increases with dilution.
·         Molar Conductivity at zero concentration of an electrolyte is called the conductivity at infinite dilution (λm).
·         The conductivity, K of an electrolytic solution depends on the concentration of the electrolyte, nature of solvent and temperature.
·         Molar Conductivity, Λm is defined by K/C where ‘C’ is the concentration. Conductivity decreases but molar conductivity increases with decrease in concentration. It increases slowly with decrease in concentration for strong electrolyte while the increase is very sharp in dilute solutions.
Kohlrausch’s  Law states that the molar conductivity of an electrolyte (strong or weak) at infinite dilution is the sum of the contribution of the conductivities of its cation & anion.
λm (AxBy) = x λm (Ay+) + y λm (Bx-)
Faraday’s laws   of   Electrolysis
            Faraday’s I Law of Electrolysis,
The amount of chemical substance deposited at any electrode during
Electrolysis is proportional to the quantity of electricity passed through the electrolyte.
                                                W=Z × i× t
                                                Where: W = wt. Of substance deposited
                                                 Z=Electrochemical Eq.
                                                 Z=E/96500
                                                 E = equivalent weight
                                                 i= Current     t=time (sec.)
             Faraday’s IInd Law of Electrolysis:   
                  The amount of different substances liberated by the same quantity of
Electricity passed in same time through the electrolytic solution is proportional to their chemical equivalent weights.
                                     W1/W2=E1/E2
     W = wt. Of substance deposited               E = equivalent weight

Batteries and fuel cells are very useful forms of galvanic cells. There are mainly two types of batteries.
·         A Primary Cells the cell which can’t be recharged while Secondary Cell can be recharged again & again.
·         Fuel Cell is the cell in which energy is produced from the combination of fuel gases like H2, CO,CH4 directly.
·         Efficiency of a fuel cell(η)= (ΔG/ΔH) × 100
·         Corrosion is a process of eating away of a useful metal by reaction with O2 & moisture. It is an electrochemical phenomenon.
·         Galvanisation is a better process to prevent the rusting of iron.
In corrosion metal is oxidized by loss of electrons to oxygen and form oxides.
Anode (Oxidation): 2Fe(s)       →    2Fe2+ + 4e-
Cathode (Reduction): O2(g) + 4H+(aq) + 4e→     2H2O
Atmospheric Oxidation:
2Fe2+(aq) + 2H2O(l) + 1/2O2(g) → Fe2O3(s) + 4H+(aq)

SHORT ANSWER QUESTIONS (1 MARKS)
1.      What is the effect of temperature on molar conductivity?                        Molar conductivity of an electrolyte increases with increase in temperature.
2.      Why is it not possible to measure single electrode potential?
              It is not possible to measure single electrode potential because the half-cell containing single electrode cannot exist independently, as charge cannot flow on its own in a single electrode.
3.      Name the factor on which emf of a cell depends:-                
 emf of a cell depends on following factor-
a.        Nature of reactants.
b.        Concentration of solution in two half cells.
c.        Temperature
d.       Pressure of gas.
4.      What are the units of molar conductivity?
    ohm-1cm2mol-1 or  Scm2mol-1
5.      Write Nernst equation – For  the general cell reaction
aA   +    bB     cC  +   dD
ECell = E0Cell – (RT/nF) ln
6.      What is the emf of the cell when the cell reaction attains equilibrium?
 Ans:  Zero
7.      What is the electrolyte used in a dry cell?    
Ans: A paste of NH4Cl, MnO2 and C
8.   How is cell constant calculated from conductance values?
Cell constant = Conductivity X Resistance.
9.   What flows in the internal circuit of a galvanic cell?     
Ans: Ions
10.    Define electrochemical series.
The arrangement of various electrodes in the decreasing or increasing order of their standard reduction potentials is called electrochemical series.
SHORT ANSWER QUESTIONS (2 MARKS)
  1. How can you increase the reduction potential of an electrode For the reaction
                                 Mn+(aq) + ne-- →   M(s)




Nernst equation is:





E (Mn+/M)   = E0Mn+ /M – 2.303 RT / nF log 1 / [Mn+]





E (Mn+/M) can be increased by
a.       increase in concentration of Mn+ ions in solution
b.      by increasing the temperature.
2. Calculate emf of the following cell at 298K:
                                Zn/Zn2+ (10-4 M) || Cu2+ (10-2M)/Cu
Given:E0Zn2+/Zn=-0.76V E0Cu2+/Cu=+0.34V
Cell reaction is as follows.
Zn(s)   + Cu2+(aq)  → Zn2+(aq) + Cu(s)
   n=2      T=298K
Ecell =(E0Cu2+/Cu-E0Zn2+/Zn)-0.0591/2V log [Zn2+(aq)]
         [Cu+(aq)]
= 0.34V-(-0.76)-0.02955V log 10-4
      10-2
=  1.10V-0.02955V log 10-2
=  1.10V + 2 X 0.02955 V
=  1.10V + 0.0591 V
=  1.1591V
3.      Electrolysis of KBr(aq) gives Br2 at anode but KF (aq) does not give F2. Give reason
Oxidation takes place at anode. Now lower the reduction Potential, easier to oxidize. Reduction Potential of Br-, H2O, F- are in the following order.
Br -< H2O < F-
Therefore in aq. Solution of KBr. Br- ions are oxidized to Br2 in preference to H2O. On the other hand, in aq. Solution of KF, H2O is oxidized in preference to F-. Thus in this case oxidation of H2O at anode gives O2 and no F2 is produced.
  1. What happens when a piece of copper is added to:
 (a) an aq solution of FeSO4    (b) an Aq solution of FeCl3?

  1. Nothing will happen when the piece of copper is added to FeSO4 because reduction potential E0 Cu2+/Cu(+0.34) is more than the reduction potential E0(Fe2+/Fe) (-0.44V).
  2. Copper will dissolve in an aq solution of FeCl3 because reduction potential E0Fe3+/Fe2+(+0.77V) is more than the reduction potential of E0Cu2+/Cu(+0.34)     
Cu(s)+ 2FeCl3 (aq)   → Cu+2(aq) +  2FeCl2(aq)
  1. Define corrosion. Write chemical formula of rust.
Corrosion is a process of destruction of metal as a result of its reaction with air and water, surrounding it. It is due to formulation of sulphides, oxides, carbonates, hydroxides, etc. Formula of rust- Fe2O3.xH2O
SHORT ANSWER QUESTIONS (3 MARKS)
1.  Write any three differences between potential difference and e.m.f.
E.M.F
POTENTIAL DIFFERENCE


1.It is difference between electrode potential
1.it is difference of potential
of two electrodes when no current is flowing
between electrode in a closed circuit.
through circuit.

2. it is the maximum voltage obtained From a
2.it is less than maximum voltage
cell.
Obtained from a cell.


3. it is responsible for steady flow of Current.
3.it is not responsible for steady

Flow of current.
2.      Why an electrochemical cell stops working after sometime?
The reduction potential of an electrode depends upon the concentration of solution with which it is in contact. As the cell works, the concentration of reactants decrease. Then according to Le chatelier’s principle the direction of the reaction will shift in backward direction. On the other hand if the concentration is more on the reactant side then it will shift the equilibrium in forward direction. When cell works
concentration in anodic compartment increases E0 anode will increase and in  cathodic compartment concentration decreases and hence E0 cathode will decrease. Now EMF of cell is E0cell= E0cathode –E0anode
A decrease in E0cathode and a corresponding increase in E0anode I    tmeans that EMF of the cell will decrease and will ultimately become zero i.e., cell stops working after some time.

3.for the standard cell : Cu(s)/Cu2+(aq)|| Ag+(aq)/Ag(s)
E0cell Cu2+/Cu =+0.34 V
E0 Ag+/Ag =+0.80 V
i.      Identify the cathode and the anode as the current is drawn from the cell.
ii.    Write the reaction taking place at anode.
iii.  Calculate the standard cell potential.




1.  From the cell representation Ag/Ag+ electrode is cathode and Cu/Cu2+ electrode is anode .
 2. At anode : Cu(s)→ Cu2+ ( aq )+2e
E0cell = E0cathode –E0anode
=  E0Ag+/Ag –E0Cu2+ /Cu
=  +.80 V –(+0.34V)
=  +0.80V-0.34V
=  0.46V
4. Can we store copper sulphate in (i) Zinc vessel (ii) Silver vessel? Give reason.
          Given E0 Cu2+/Cu = +0.34V, E0Zn2+/Zn= -0.76V, E0Ag+/Ag = +0.80V

A metal having lower reduction potential can displace a metal having higher reduction potential from solution of its salt.
I. Since standard reduction potential of Zn2+ (E0Zn2+/Zn = -0.76V) is less than the standard reduction potential of Cu2+ (E0Cu2+/Cu=+0.34V), Zn can displace copper from copper sulphate solution. Thus, CuSO4 solution can be stored in silver vessel.

5.      How many grams of chlorine can be produced by the electrolysis of molten NaCl with a current of 1.02 A for 15 min?
            2NaCl(l)→ 2Na+(l) +2Cl-
      2 Cl- →Cl2(g)+  2e-
       2mole       1mol    Q =nf
Q= 2 x 96500 C/mol= 1.93 x 105C
Quantity of electricity used = It
=   1.02 A X (15 X 60)sec
=   900C
Molar mass of Cl2 = 2 X 35.5 = 71 gmol-1
1.93X 105 C of charge produce chlorine = 71g
1.93 X 105 C of charge produce chlorine = 71gm
900 C of charge produce chlorine        71 X 900
1.93    X 105
=   0.331 gm
6.      The electrical resistance of a column of 0.05 M NaOH solution of diameter 1 cm and length 50 cm is 5.55 × 103 ohm. Calculate its resistivity, conductivity and molar conductivity.

7.      Three conductivity cells A, B and C containing solutions of zinc sulphate, silver nitrate and copper sulphate respectively are connected in series. A steady current of 1.5 amperes is passed through them until 1.45 g of silver is deposited at the cathode of cell B. How long did the current flow? What mass of copper and what mass of zinc got deposited in their respective cells? (Atomic mass : Zn = 65.4 u, Ag =108 u, Cu = 63.5 u)

                 
LONG ANSWER QUESTIONS (5 MARKS)
1.     Explain the term electrolysis. Discuss briefly the electrolysis of (i) molten NaCl (ii) aqueous sodium chloride solution (iii) molten lead bromide (iv) water, (v) dil H2SO4
2.     State and explain Faraday’s Ist and Second Law for electrolysis.
3.     What do you understand by ‘electrolytic conduction? How does conductivity and molar conductivity depend on concentration  of  the electrolytes? What is the effect of temperature on electrolytic conduction?
4.     How is electrolytic conductance measured experimentally?
HOT QUESTIONS
1 Mark questions:-
1.   Why in a concentrated solution, a strong electrolyte shows deviations from Debye-Huckle- Onsagar equation?
Ans:- Because interionic forces of attractions are large.
2.   What is the use of Platinum foil in the hydrogen electrode?
A: It is used for inflow and outflow of electrons.
3.   Corrosion of motor cars is a greater problem in winter when salts arespread on roads to melt ice and snow. Why?
Saline water increases the electrical Conductivity of electrolytic solution formed on the metal surface. Hence rusting is quicker in Saline water.
4.   Is it safe to stir AgNO3 solution with copper spoon? (E0Ag+/ Ag = 0.80 Volt; E0
Cu+/ Cu = 0.34 Volt)
Ans: No it is not safe because Cu reacts with AgNO3 Solution (emf will be positive.)
5. Why is it necessary to use salt bridge in a galvanic cell?
Ans: To complete internal circuit and to maintain electrical neutrality of the solution.
2 mark questions:-
1.   Why Li is best reducing agent whereas Fluorine is best oxidizing agent ?
2.   Equilibrium constant is related to Eo cell but not to Ecell. Explain.
3.   Why is sodium metal not obtained at cathode when aqNaCl is electrolyzed with Pt electrodes but obtained when molten NaCl is electrolyzed?
4.   Zn rod weighing 25 g was kept in 100 mL of 1M copper sulphate solution. After certain time interval, the molarity of Cu2+ was found to be 0.8 M. What is the molarity of SO4-2 in the resulting solution and what should be the mass of Zn rod after cleaning and drying ?
5. Which will have greater molar conductivity and why? 
  Sol A. 1mol KCl dissolved in 200 cc of the solution or Sol B. 1 mol KCl dissolved in      500cc of the solution.
Long Answer types Questions:-
1.   Which cell is generally used in hearing aids? Name the material of the anode, cathode and the electrolyte. Write the reactions involved.
2.   Iron does not rust even if Zinc coating is broken in a galvanized iron pipe but rusting occurs much faster if tin coating over iron is broken .Explain.
3.                  Corrosion   is an electrochemical phenomenon’,explain.
4.   Calculate the pH of following cell: Pt, H2/ H2SO4, if its electrode potential is 0.03V.
5. Crude copper containing Fe and Ag as contaminations was subjected to electro refining by using a current of 175 A for 6.434 min. The mass of anode
was found to decrease by 22.260 g, while that of cathode was increased by 22.011 g. Estimate the % of copper, iron and silver in crude copper.
6. Zinc electrode is constituted at 298 K by placing Zn rod in 0.1 M aq solution of zinc sulphate which is 95 % dissociated at this concentration. What will be the electrode potential of the electrode given that EoZn2+/Zn= - 0.76 V.
7.At what pH will hydrogen electrode at 298 K show an electrode potential of -0.118 V, when Hydrogen gas is bubbled at 1 atm. pressure?
8.How many moles of mercury will be produced by electrolyzing 1.0 M. Hg(NO3)2 solution with a current of 2.00 A for 3 hours?
9.A voltaic cell is set up at 25° C with the following half-cells Al3+ (0.001 M) and Ni2+ (0.50 M). Write an equation for the reaction that occurs when the cell generates an electric current and determine cell potential.   
 
10. A copper-silver cell is set up. The copper ion concentration in it is 0.10 M. The concentration of silver ion is not known. The cell potential measured 0.422 V. Determine the concentration of silver ion in the cell.
                      
VALUE BASED QUESTIONS
Q.1 In Apollo Space programs, hydrogen-oxygen fuel cell was used
(a) Explain why, fuel cell is preferred in space programme.?
(b) Mention the values associated with the decision of using fuel cell?
(c) Write the values associated with preference of using fuel cells to fossil fuel.
Q.2 Ira a student of science went with her grandfather to buy a battery for their inverter and camera.  They found two types of batteries, one a lead storage battery and other a Nickel-Cadmium storage battery.  Later was more expensive but lighter in weight. Ira insisted to purchase costlier  Nickel-Cadmium battery.
(a) In your opinion, why Ira insisted for Nickel-Cadmium battery?  Give reasons
(b) Write the values associated with above decision?
Q.3 Shyam’s father wants to buy a new car. In the market various options are available. Shyam persuades his father to buy a hybrid car which can run both on electricity as well as on petrel.
(i) Mention the values associated with this decision.
(ii) Name the battery used for running the car.
(iii) Write the reactions taking place at the anode and cathode of battery.


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