Find the emf of the cell in which the following reaction takes place at 298 K 
\(\begin{aligned} \mathrm{Ni}(\mathrm{s})+2 \mathrm{Ag}^{+}(0.001 \mathrm{M}) \rightarrow \mathrm{Ni}^{2+}(0.001 \mathrm{M})+2 \mathrm{Ag}(\mathrm{s}) \\ \small{\text { (Given that } \mathrm{E}_{\text {cell }}^{\circ}=10.5 \mathrm{~V}, \frac{2.303 \mathrm{RT}}{\mathrm{F}}=0.059 \text { at } \ 298 \mathrm{~K})} \end{aligned}\)
1. 1.05 V 
2. 1.0385 V 
3. 1.385 V 
4. 0.9615 V 

Subtopic:  Nernst Equation |
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The three cells with their \(E^\circ_{\text{(cell)}}\) values are given below:

Cells \(E^\circ_{\text{(cell)}}/V\)
(a) Fe|Fe2+||Fe3+|Fe 0.404
(b) Fe|Fe2+||Fe3+, Fe2+|Pt 1.211
(c) Fe|Fe3+||Fe3+, Fe2+|Pt 0.807
The standard Gibbs free energy change values for three cells are, respectively
(F represents charge on 1 mole of electrons.)
1. -1.212 F, -1.211 F, -0.807 F
2. +2.424 F, +2.422 F, +2.421 F
3. -0.808 F, -2.422 F, -2.421 F
4. -2.424 F, -2.422 F, -2.421 F
Subtopic:  Faraday’s Law of Electrolysis |
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\(\land^o_m\) for NaCl, HCl and \(CH_3COONa \) are 126.4, 425.9, and 91.05 S cm2 mol-1 respectively. If the conductivity of 0.001028 mol L-1 acetic acid solution is \(4.95 \times 10^{-5} S ~cm^{-1} \), the degree of dissociation of the acetic acid solution is-
1. 0.01233
2. 1.00 
3. 0.1233 
4. 1.233

Subtopic:  Conductance & Conductivity |
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Two half cell reactions are given below :
\(\begin{aligned} &\mathrm{Co}^{3+}+e^{-} \rightarrow \mathrm{Co}^{2+}, \mathrm{E}_{\mathrm{Co}^{2+} / \mathrm{Co}^{3+}}^{\circ}=-1.81 \mathrm{~V} \\ &2 \mathrm{Al}^{3+}+6 e^{-} \rightarrow 2 \mathrm{Al}(\mathrm{s}), \mathrm{E}_{\mathrm{Al} / \mathrm{Al}^{3+}}^{\circ}=+1.66 \mathrm{~V} \end{aligned} \)
The standard EMF of a cell with feasible redox reaction will be:
1. +7.09 V
2. +0.15 V
3. +3.47 V
4. –3.47 V

Subtopic:  Electrode & Electrode Potential |
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Standard electrode potential for the cell with cell reaction
Zn(s) + Cu2+(aq) → Zn2+(aq) + Cu(s)
is 1.1 V. Calculate the standard Gibbs energy change for the cell reaction.
(Given F = 96487 C mol-1)
1. -200.27 kJ mol-1
2. -212.27 kJ mol-1
3. -212.27 J mol-1
4. -200.27 J mol-1
Subtopic:  Relation between Emf, G, Kc & pH |
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Given below are half-cell reactions:

\(\mathrm{MnO}_{4}^{-}+8 \mathrm{H}^{+}+5 \mathrm{e}^{-} \rightarrow \mathrm{Mn}^{2+}+4 \mathrm{H}_{2} \mathrm{O}, \\ \mathrm{E}_{\mathrm{Mn}^{2+}}^{\circ} / \mathrm{MnO}_{4}^{-}=-1.510 \mathrm{~V} \\ \frac{1}{2} \mathrm{O}_{2}+2 \mathrm{H}^{+}+2 \mathrm{e}^{-} \rightarrow \mathrm{H}_{2} \mathrm{O}, \\ \mathrm{E}_{\mathrm{O}_{2} / \mathrm{H}_{2} \mathrm{O}}^{\circ}=+1.223 \mathrm{~V}\)

Will the permanganate ion, \(\mathrm{MnO}_{4}^{-}\) , liberate \(\mathrm{O}_{2}\) from water in the presence of an acid?

1. No, because \(\mathrm{E}_{\text {cell }}^{\circ}=-2.733 \mathrm{~V}\)
2. Yes, because \(\mathrm{E}_{\text {cell }}^{\circ}=+0.287 \mathrm{~V}\)
3. No, because \(\mathrm{E}_{\text {cell }}^{\circ}=-0.287 \mathrm{~V}\)
4. Yes, because \(\mathrm{E}_{\text {cell }}^{\circ}=+2.733 \mathrm{~V}\)
Subtopic:  Electrode & Electrode Potential |
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The molar conductivity of 0.007 M acetic acid is 20 S cm2 mol-1. The dissociation constant of acetic acid is -

(\(\mathrm{\Lambda_{H^{+}}^{o} \ = \ 350 \ S \ cm^{2} \ mol^{-1} }\))
(\(\mathrm{\mathrm{\Lambda_{CH_{3}COO^{-}}^{o} \ = \ 50 \ S \ cm^{2} \ mol^{-1} }}\))

1. 1.75×10-5 mol L-1 

2. 2.50×10-5 mol L-1 

3. 1.75×10-4 mol L-1 

4. 2.50×10-4 mol L-1 

Subtopic:   Kohlrausch Law & Cell Constant |
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The molar conductance of NaCl, HCI, and CH3COONa at infinite dilution are 126.45, 426.16, and 91.0 S cm mol-1 respectively. The molar conductance of CH3COOH at infinite dilution will be:

1. 698.28 S cm2 mol-1

2. 540.48 S cm2 mol-1

3. 201.28 S cm2 mol-1

4. 390.71 S cm2 mol-1

  

Subtopic:   Kohlrausch Law & Cell Constant |
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In a typical fuel cell, the reactants (R) and products (P) are :-

1. R=H2(g), O2(g); P=H2O2(l)

2. R=H2(g), O2(g); P=H2O(l)

3. R=H2(g), O2(g), Cl2(g); P=HClO4(aq)

4. R=H2(g), N2(g); P=NH3(aq)

Subtopic:  Batteries & Salt Bridge |
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On electrolysis of dilute sulphuric acid using Platinum (Pt) electrode, the product obtained at the anode will be:

1. Oxygen gas

2. H2S gas

3. SO2 gas

4. Hydrogen gas 

Subtopic:  Electrolytic & Electrochemical Cell |
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