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JEE Advanced 2013Paper 2
Exam
JEE Advanced
Year
2013
Paper
Paper 2
Subject
Chemistry
Chapter
Electrochemistry

JEE Advanced 2013 · Paper 2 · Chemistry · Electrochemistry

The standard reduction potential data at 25 ° C is given below....

The standard reduction potential data at 25°C25 ° C is given below.
Eο(Fe3+Fe2+)=+0⋅77V;Eο(Fe2+Fe)=−0⋅44VEο(Cu2+Cu)=+0⋅34V;Eο(Cu+Cu)=+0⋅52VEο[O2(g)+4H++4e−→2H2O]=+1⋅23V;Eο[O2(g)+2H2O+4e−⟶4OH−]=+0⋅40VEο(Cr3+Cr)=−0⋅74V;Eο(Cr2+Cr)=−0⋅91V\begin{array}{ll}{E }^{ο} \left({\text{Fe}}^{3 +} {\text{Fe}}^{2 +}\right) = + 0 \cdot 7 7 V \text{;} \\ {E }^{ο} \left({Fe }^{2 +} Fe \right) = - 0 \cdot 4 4 V \\ {E }^{ο} \left({Cu }^{2 +} \text{Cu}\right) = + 0 \cdot 3 4 V \text{;} \\ {E }^{ο} \left({\text{Cu}}^{+} \text{Cu}\right) = + 0 \cdot 5 2 V \\ {E }^{ο} \left[{\text{O}}_{2} \left(g \right) + 4 {H }^{+} + 4 {e }^{-} \to 2 {H }_{2} \text{O}\right] = + 1 \cdot 2 3 V \text{;} \\ {E }^{ο} \left[{\text{O}}_{2} \left(\text{g}\right) + 2 {\text{H}}_{2} \text{O} + 4 {\text{e}}^{-} ⟶ 4 {\text{OH}}^{-}\right] = + 0 \cdot 4 0 V \\ {E }^{ο} \left({\text{Cr}}^{3 +} \text{Cr}\right) = - 0 \cdot 7 4 \text{V} \text{;} \\ {E }^{ο} \left({\text{Cr}}^{2 +} \text{Cr}\right) = - 0 \cdot 9 1 \text{V}\end{array}
Match Eo of the redox pair in List I with the values given in List II and select the correct answer using the code given below the lists :
List I List II
A. Eο(Fe3+Fe){E }^{ο} \left({\text{Fe}}^{3 +} \text{Fe}\right) P. −0.18V- 0 . 18V
B. Eο(4H2O⇌4H++4OH−){E }^{ο} \left(4 {\text{H}}_{2} \text{O} ⇌ 4 {H }^{+} + 4 {\text{OH}}^{-}\right) Q. −0.4V- 0 . 4V
C Eο(Cu2++Cu→2Cu+){E }^{ο} \left({\text{Cu}}^{2 +} + \text{Cu} \to 2 {Cu }^{+}\right) R. −0.04V- 0 . 04V
D. Eο(Cr3+Cr2+){E }^{ο} \left({\text{Cr}}^{3 +} {\text{Cr}}^{2 +}\right) S. −0.83V- 0 . 83V

Options

  1. Aa-r;b-q;c-s;d-p;
  2. Ba-q;b-p;c-r;d-s;
  3. Ca-s;b-p;c-r;d-q;
  4. Da-r;b-s;c-p;d-q;

Correct answer

D. a-r;b-s;c-p;d-q;

Step-by-step solution

P.)
{Fe3++e−⟶Fe2+;ΔGIo=−1F(0.77)Fe2++2e−⟶Fe;ΔGIIo=−2F(−0.44)———————————-AddFe3++3e−⟶Fe;ΔGIIIo=−3F(Eo)Fe3+/Fe\begin{cases} & {\text{Fe}}^{3 +} + {\text{e}}^{-} ⟶ {\text{Fe}}^{2 +} & \text{;} & \Delta {\text{G}}_{\text{I}}^{\text{o}} = - 1 \text{F} \left(0 \text{.} 7 7\right) \\ & {\text{Fe}}^{2 +} + 2 {\text{e}}^{-} ⟶ \text{Fe} & \text{;} & \Delta {\text{G}}_{\text{II}}^{\text{o}} = - 2 \text{F} \left(- 0 \text{.} 4 4\right) \\ & \text{----------------------------------} & & \\ \text{Add} & {\text{Fe}}^{3 +} + 3 {\text{e}}^{-} ⟶ \text{Fe} & \text{;} & \Delta {\text{G}}_{\text{III}}^{\text{o}} = - 3 \text{F} {\left({\text{E}}^{\text{o}}\right)}_{{\text{Fe}}^{3 +} / \text{Fe}}\end{cases}
−3F(Eo)Fe3+/Fe=−0.77F+0.88F- 3 \text{F} {\left({\text{E}}^{\text{o}}\right)}_{{\text{Fe}}^{3 +} / \text{Fe}} = - 0 \text{.} 7 7 \text{F} + 0 \text{.} 8 8 \text{F}
=0.11F0 . 11F
EFe3+/Feo=−0.113=−0.037≅−0.04V{\text{E}}_{{\text{Fe}}^{3 +} / \text{Fe}}^{\text{o}} = - \dfrac{0 \text{.} 1 1}{3} = - 0 \text{.} 0 3 7 ≅ - 0 \text{.} 0 4 \text{V}
Q.) 2H2O⟶O2(g)+4H(aq)++4e−2 {\text{H}}_{2} \text{O} ⟶ {\text{O}}_{2 \left(\text{g}\right)} + 4 {\text{H}}_{\text{(aq)}}^{+} + 4 {\text{e}}^{-} (Oxidation half reaction)
E°=−1.23V{E}^{°} = - 1 . 23V
O2(g)+2H2O+4e−⟶4OH(aq)−{\text{O}}_{2 \left(\text{g}\right)} + 2 {\text{H}}_{2} \text{O} + 4 {\text{e}}^{-} ⟶ 4 {\text{OH}}_{\text{(aq)}}^{-} (reduction half reaction)
E°=+0.40V{E}^{°} = + 0 . 40V
It's an electrochemical cell, adding
4H2O⇌4H++40H−4 {\text{H}}_{2} \text{O} ⇌ 4 {\text{H}}^{+} + 4 0 {\text{H}}^{-} at equilibrium
Ecello=−0.83V{\text{E}}_{\text{cell}}^{\text{o}} = - 0 \text{.} 8 3 \text{V}
R.)
\begin{cases}2 {\text{Cu}}_{\left(\text{s}\right)} ⟶ 2 {\text{Cu}}^{+} + 2 {\text{e}}^{-} & {\text{E}}^{0} = - 0 \text{.} 5 2 \text{V} \\ {\text{Cu}}^{2 +} + 2 {\text{e}}^{-} ⟶ {\text{Cu}}_{\left(\text{s}\right)} & {\text{E}}^{0} = 0 \text{.} 3 4 \text{V}\end{cases}$<br/>Adding<br />Adding\begin{cases}{\text{Cu}}^{2 +} + {\text{Cu}}_{\left(\text{s}\right)} ⟶ 2 {\text{Cu}}^{+} & {\text{E}}_{\text{cell}}^{0} = - 0 \text{.} 1 8 \text{V}\end{cases}<br/>S<br/><br />S<br />\begin{cases}{\text{Cr}}^{3 +} + 3 {\text{e}}^{-} ⟶ \text{Cr} & \text{;} & \Delta {\text{G}}_{\text{I}}^{0} = - 3 \left(\text{F}\right) \left(- 0 \text{.} 7 4\right) \\ {\text{Cr}}^{2 +} + 2 {\text{e}}^{-} ⟶ \text{Cr} & \text{;} & \Delta {\text{G}}_{\text{II}}^{0} = - 2 \left(\text{F}\right) \left(- 0 \text{.} 9 1\right)\end{cases}<br/><br/>Subtracting<br/><br /><br />Subtracting<br />\begin{cases}{\text{Cr}}^{3 +} + {\text{e}}^{-} - {\text{Cr}}^{2 +} ⟶ 0 & \text{;} & \\ {\text{Cr}}^{3 +} + {\text{e}}^{-} ⟶ {\text{Cr}}^{2 +} & \text{;} & \Delta {\text{G}}^{0} = - 1 \left(\text{F}\right) \left({\text{E}}_{{\text{Cr}}^{3 +} / {\text{Cr}}^{2 +}}^{0}\right)\end{cases}<br/><br />- {\text{F E}}_{\left({\text{Cr}}^{3 +} / {\text{Cr}}^{2 +}\right)}^{0} = \text{F} \left(3 \times 0 \text{.} 7 4 - 2 \times 0 \text{.} 9 1\right)<br/><br />- {\text{E}}_{{\text{Cr}}^{3 +} / {\text{Cr}}^{2 +}}^{0} = \text{F} \left(2 \text{.} 2 2 - 1 \text{.} 8 2\right)<br/><br />{\text{E}}_{{\text{Cr}}^{3 +} / {\text{Cr}}^{2 +}}^{0} = - 0 \text{.} 4 0 \text{V}$
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