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Published on: 04/12/2019
Electrochemistry
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1.
The molar conductivity of 1.5 M solution of an electrolyte is found to be 138.9 S cm2 mol-1 . Calculete the conductivity of this solution.
2.
Ezpress the relation among cell constant, resistance of the solution in the cell and conductivity of the solution. How is molar conductivity of solution related to its conductivity.
3.
(i) Arrange the following metals in the order in which they displace each other from the solution of their salts.
Al, Cu, Fe, Mg and Zn.
(ii) Given the standard electrode potentials;
K+/K = -2.93V,Ag+/Ag = 0.80V, Hg2+/Hg = +0.79V.
Mg2+/Mg = -2.37V, Cr3+/Cr = -0.74V.
Arrange these metals in their increasing order of reducing power.
4.
When a certain electrolytic cell was filled with 0.1 M KCl, it has resistance of 85 ohms at 25 oC. When the same cell was filled with an aqueous solution of 0.052 M unknown electrolyte, the resistance was 96 ohms. Calculate the molar conductance of the electrolyte at this concentration. [Specific conductance of 0.1 M KCl = \(1.29\times { 10 }^{ -2 }{ ohm }^{ -1 }{ cm }^{ -1 }\)]
5.
EMF of Daniell cell was found using different concentrations of Zn2+ ion and Cu2 ion. A graph was then plotted between Ecell and \(\log { \frac { \left[ { Zn }^{ 2+ } \right] }{ \left[ { Cu }^{ 2+ } \right] } } \) . The plot was found to be linear with intercept on Ecell axis equal to 1.10 V. Calculate Ecell for Zn | Zn2+ (0.1 M) || Cu2+ (0.01 M) | Cu.
6.
Using the standard electrode potentials, predict if the reaction between the following is feasible:
(i) Fe3+(aq) and I-(aq)
(ii) Ag+(aq) and Cu(s)
(iii) Fe3+(aq) and Br-(aq)
(iv) Ag(s) and Fe3+(aq)
(v) Br2(aq) and Fe2+(aq)
7.
Calculate the standard cell potentials of galvanic cell in which the following reactions take place:
(i) \(2Cr(s)+{ 3Cd }^{ 2+ }(aq)\rightarrow { 2Cr }^{ 3+ }(aq)+3Cd(s)\)
(ii) \({ Fe }^{ 2+ }(aq)+{ Ag }^{ + }(aq)\rightarrow { Fe }^{ 3+ }(aq)+Ag(s)\)
Calculate the \({ \triangle }_{ r }{ G }^{ o }\) and equilibrium constant for the reactions.
8.
One faraday of electricity is passed thorugh molten Al2 O3 , aqueous solution of CuSO4 and molten NaCl taken in three different electrolytic cells connected in series. The mole ratio of Al, Cu and Na deposited at the respective cathode is
2 : 3 : 6
6 : 2 : 3
6 : 3 : 2
1 : 2 : 3
3 : 6 : 2
9.
Using the data given below find out the strongest reducing agent.
\({ E }_{ { Cr }_{ 2 }{ O }_{ 7 }^{ 2- }/{ Cr }^{ 3+ } }^{ \circleddash }=1.33V\ ,\ { E }_{ { Cl }_{ 2 }/{ Cl }^{ - } }^{ \circleddash }=1.36V\)
\({ E }_{ { MnO }_{ 4 }^{ - }/{ Mn }^{ 2+ } }^{ \circleddash }=1.51V\ ,\ { E }_{ { Cr }^{ 3+ }/{ Cr } }^{ \circleddash }=-0.74V\)
Cl-
Cr
Cr3+
Mn2+
10.
For the reduction of silver ions with copper metal, the standard cell potential was found to be + 0.46 V at 25°C. The value of standard Gibbs energy, \({ \Delta G }^{ ° }\) will be (F = 96500 C mol-1)
- 98.0 kJ
- 89.0 kJ
- 89.0 J
- 44.5 kJ
11.
Which has the highest oxidizing power ?
I2
Br2
F2
Cl2
12.
The time required to liberate one gram equivalent of an element by passing one ampere current through its solution is
6.7 hrs
13.4 hrs
19.9 hrs
26.8 hrs
1.
\(A_m={1000\times k\over M}\)
138.9 S cm2 mol-1=\(1000\times k\over 1.5\)
\(k={138.9\times 1.5\over 1000}={208.05\over 1000}={2.0805}\times 10^{-1}\ S\ cm^{-1}\)
2.
\(k=\frac { 1 }{ R } \times \frac { l }{ a } \), where 'k' is conductivity of solution, 'R' is resistance, \(\frac { l }{ a } \) is cell constant. \({ \Lambda }_{ m }=\frac { 1000k }{ M } \), where 'k' is conductivity in S cm-1, 'M' is molarity of solution. \({ \Lambda }_{ m }\) is molar conductivity in S cm2 mol-1.
3.
(i) Mg, Al, Zn, Fe, Cu is decreasing order of their reactivity.
(ii) Ag, Hg, Cr, Mg, K is increasing order of their reducing power.
4.
\(K=1.29\times { 10 }^{ -2 }{ ohm }^{ -1 }{ cm }^{ -1 }\)
\(K=\frac { 1 }{ R } \times \frac { 1 }{ a } \Rightarrow \frac { 1 }{ a } =K\times R=1.29\times { 10 }^{ -2 }\times 85=109.65\times { 10 }^{ -2 }=1.0965{ cm }^{ -1 }\)
\({ \wedge }_{ m }=\frac { 1000K }{ M } =\frac { 1000 }{ M } \times \frac { 1 }{ R } \times \frac { 1 }{ a } \)
\({ \wedge }_{ m }=\frac { 1000\times 1\times 1.0965 }{ 0.052\times 96 } =\frac { 1096.50 }{ 4.992 } =219.65 \ S \ { cm }^{ 2 }{ mol }^{ -1 }\)
5.
For Daniell cell, Zn + Cu2+⇾ Zn2++ Cu
\(E_{cell}=E^0_{cell}-{0.0591\over 2}log{[Zn^{2+}]\over [Cu^{2+}]}\)
It is the equation of straight line (y = C + mx).
Intercept = EOcell= 1·10 V (Given)
\(E_{cell}\equiv 1.10-{0.0591\over 2}log{0.1\over 0.01}=1.10-0.0295=1.0705V\)
6.
(i) \(2Fe^{3+}+2I^-\longrightarrow2Fe^{2+}+I_2\)
\(E^0_{cell}=E^0_{I_2/ I^-}-E^0_{Fe^{3+}/Few^{2+}}=0.54 V - (0.77 V) = 0.54 V - 0.11 v = - 0.23 V\)
It is not feasible therefore E0cell is -ve ΔGo = +ve
(ii) 2Ag+(aq) + Cu(s) ⟶ Cu2+(aq) + Ag(s)
\(E^0_{cell} = E^0_{Ag^+/Ag} -E^0_{Cu^{2+}/Cu} = +0.80 V - 0.34 V = 0.46 V\)
It is feasible because E0cell is +ve
∴ ΔG0 = - ve
(iii) 2Fe3+(aq) + 2Br-(aq) ⟶ 2Fe2+(aq) + Br2'
\(E^0_{cell} = E^0_{Fe^{3+}/Fe^{2+}}- E^0_{Br_2/Br^-} = 0.77 V - 1.09 V = - 0.32 V\)
Since E0cell is -ve, ΔGo = +ve therefore, reaction is non spontaneous.
(iv) Ag(s) + Fe3+(aq) ⟶ Fe2+(aq) + Ag+(aq)
\(E^0_{cell} = E^0 _{Fe^{3+}/Fe^{2+}}-E^0_{Ag^+/Ag} = 0.77 V - 0.80 V = - 0.03 V\)
since E0cell is -ve, ΔGo is +ve therefore, reaction is non spontaneous.
(v) Br2 + 2Fe2+(aq) ⟶ 2Br-(aq) + 2Fe3+(aq)
\(E^0_{cell} = E^0_{Br^2/Br^-} E^0_{Fe^{3+}/Fe^{2+}}=1.09 V - 0.77 V = 0.32 V\)
Since E0cell is +ve, ΔGo = -ve, therefore, reaction will be spontaneous.
7.
(i) \(E^0_{cell}=E^0_{cathode}-E^0_{anode}= - 0·40 V - (- 0·74 V) = + 0·34 V\)
\(Δ_r G^0 - n FE^o_{cell}= - 6 mol \times 96500\ C\ mol.^{-1}\times 0·34 V\)
= -196860 CV mol-1 = -196860 J mol-1 = -196.86 k.J mol-1
- ΔrGo = 2.303 RT log K
196860 = 2.303 x 8.314 x 298 log K or log K = 34.5014
K = Antilog 34.5014 = 3.192 x 1034
(ii) E0cell = + 0.80 V - 0.77 V = + 0.03 V.
Δr G0 = - nF E0cell = - (1 mol) x (96500 C mol-1) x (0·03 V)
= - 2895 CV mol-1 = - 2895 J mol-1
= - 2.895 k.J mol-1
ΔrG0 = - 2.303 RT log K
- 2895 = - 2.303 x 8.314 x 298 x log K
or log K = 0.5074 or K = Antilog (0.5074) = 3.22.
8.
(a)
2 : 3 : 6
9.
(b)
Cr
10.
(b)
- 89.0 kJ
11.
(c)
F2
12.
(d)
26.8 hrs
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