JEE Main · 2019 · Shift-ImediumEC-085

The anodic half-cell of lead-acid battery is recharged using electricity of 0.05 Faraday. The amount of PbSO4…

Electrochemistry · Class 12 · JEE Main Previous Year Question

Question

The anodic half-cell of lead-acid battery is recharged using electricity of 0.05 Faraday. The amount of PbSO4\mathrm{PbSO_4} electrolyzed in g during the pro\cess is:

(Molar mass of PbSO4=303 g mol1\mathrm{PbSO_4} = 303\ \mathrm{g\ mol^{-1}})

Options
  1. a

    22.8

  2. b

    15.2

  3. c

    11.4

  4. d

    7.6

Correct Answerd

7.6

Detailed Solution

Strategy: In the lead-acid battery, recharging involves the reverse of the discharge reaction. Identify the moles of electrons (FF) and relate them to the stoichiometry of \cePbSO4\ce{PbSO4} conversion.

Recharging Reaction (Anode): During recharge, \cePbSO4\ce{PbSO4} on the negative plate is converted back to \cePb\ce{Pb}, and on the positive plate, it's converted to \cePbO2\ce{PbO2}. For the anodic pro\cess: \cePbSO4+2H2OPbO2+4H++SO42+2e\ce{PbSO4 + 2H2O \rightarrow PbO2 + 4H^+ + SO4^{2-} + 2e^-} Stoichiometry: 2 moles of electrons (2F2 \mathrm{F}) electrolyze 1 mole of \cePbSO4\ce{PbSO4}.

Calculation: Given Charge passed =0.05F= 0.05 \mathrm{F}. Moles of \cePbSO4\ce{PbSO4} electrolyzed =0.05/2=0.025 moles= 0.05 / 2 = 0.025 \text{ moles}. Mass =0.025×303 g/mol=7.5757.6 g= 0.025 \times 303 \text{ g/mol} = 7.575 \approx 7.6 \text{ g}.

Answer: (d) 7.6\boxed{\text{Answer: (d) 7.6}}

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