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The half reactions that occur in a lead ...

The half reactions that occur in a lead acid battery are:
`PbSO_(3)(s)+2e^(-)toPb(s)+SO_(4)^(2-)(aq)E^(@)=-0.36V`
`PbO_(2)(s)+4H^(+)(aq)+SO_(4)^(2-)(aq)+2e^(-)toPbSO_(4)(s)+2H_(2)O(l)E^(@)=+1.69V`
Calculate the overall potential for the cell in discharging reaction, `E_(cell)^(@)` Give answer in nearest single digit integer.

A

`Pb^(2+)+2Agrarr2Ag^(+)+Pb`

B

`Pb^(2+)+H_(2)rarr2H^(+)+Pb`

C

`2H^(+)+2Agrarr2Ag^(+)+H_(2)`

D

`2Ag^(+)+PbrarrPb^(2+)+2Ag`

Text Solution

Verified by Experts

The correct Answer is:
D
For the cell reaction to be spontaneous `E_("cell")` should be positive. Therefore, two half cell reaction are
`Ag^(+)+e^(-)rarrAg (E^(@)=+0.80V)`
`PbrarrPb^(2+)+2e^(-)(E^(@)=+0.13V)`
and net reaction is
`2Ag^(+)+Pbrarr2Ag+Pb^(2+)`
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