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Q.

For reversible operation of the lead storage cell (given in following figure) at 298 K and all species in the cell in their standard state, Select the correct statement(s) based on following data.Half cell reaction E°(volt) PbO2(s)+SO4−2(aq)+4H+(aq)2e−→PbSO4(s)+2H2O(ℓ)+1.7VPbO2(s)+4H++2e−→Pb+2(aq)+2H2O(ℓ) +1.46VPb+2(aq)+2e−→Pb(s) −0.13VPbSO4(s)+2e−→Pb(s)+SO4−2(aq)ΔH∘ of the overall cell reaction =−306kJ/mol

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a

Maximum electrical work that can be extracted from the cell during discharge is 386 kJ/ mol approximately for the cell reaction

b

Concentration of H2SO4 decreases during cell discharge

c

During discharging ∆S for cell reaction is negative

d

Thickness of cathode & anode increases during cell discharge

answer is A.

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Detailed Solution

Anode : Pbs+SO42−aq→ PbSO4s+2e−E° = 0.3VCathode: PbO2+SO42−aq+4H++2e−→ PbSO4+2H2Ol E° = 1.7 VEcello=2VΔGcetl ∘=−(2)(96500)(2)1000=−386ΔG∘=ΔH∘−TΔS∘TΔS∘=ΔH∘−ΔG∘TΔS∘=−306+386=80ΔS∘=+

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For reversible operation of the lead storage cell (given in following figure) at 298 K and all species in the cell in their standard state, Select the correct statement(s) based on following data.Half cell reaction E°(volt) PbO2(s)+SO4−2(aq)+4H+(aq)2e−→PbSO4(s)+2H2O(ℓ)+1.7VPbO2(s)+4H++2e−→Pb+2(aq)+2H2O(ℓ) +1.46VPb+2(aq)+2e−→Pb(s) −0.13VPbSO4(s)+2e−→Pb(s)+SO4−2(aq)ΔH∘ of the overall cell reaction =−306kJ/mol