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During the discharge of a lead storage b...

During the discharge of a lead storage battery, the density of sulphuric acid fell from `1.294 g mL^(-1)` to `1.139 g mL^(-)`. Sulphuric acid of density `1.294 g mL^(-1)` is `39%` by weight and that of density `1.139 g mL^(-1)` is `20%` by weight. The battery hold `3.5` litre of acied and discharge. Calculate the no. of ampere hour for which the battery must have been used. The charging and discharging reactions are:
`Pb+SO_(4)^(2-) rarr PbSO_(4)+2e` (charging)
`PbO_(2)+4H^(+)+SO_(4)^(2-)+2e rarr PbSO_(4)+2H_(2)O` (discharging)

Text Solution

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The correct Answer is:
265 amp. Hr
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During the discharge of a lead storage battery, the density of sulphuric acid fell from 1.294g mL^(-1) to 1.139g mL^(-1) . Sulphuric acid of dencity 1.294g mL^(-1) is 39% by weight and that of density holds 3.5 litre of acid and the volume practically remained constant during the discharge. Calculate the no.of ampere hour for which the battery must have been used. The charging and discharging reactions are : Pb+SO_(4)^(2-)rarr PbSO_(4)+2e^(-) (charging) PbO_(2)+4H^(+)+SO_(4)^(2-)+2e^(-)rarr PbSO_(4)+2H_(2O) (dischargeing)

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