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(a) Write the equations for the reaction...

(a) Write the equations for the reactions taking place at anode and cathode in the lead-storage battery.
Calculate the value of `DeltarG^(0)`at 298 K for the cell reaction.
`3Mg_(s) + 2Al^(3+)_(aq) to 3Mg^(2+)_(aq) + 2Al_(s)`
[Given , `E_(mg)^(0)` = -2.36V,
`E_(Al)^(0) = -1.66V ` and F = 96487 C]

Text Solution

Verified by Experts

(a)It is secondary cell mainly used in auto mobiles.
Anode: Lead
Cathode: Gride of lead packed with `PbO_(2)`
Electrolyte: 38% sulphuric acid
Cell reactions:
Anode: `Pb(s) + SO_(4)^(2-)(aq) rarr PbSO_(4)(s) + 2e^(-)`
Cathode: : `PbO_(2)(s)+SO^(2-)(4)(aq)+4H^(+)+2e^(-) rarr PbSO(4)(s)+2H_(2)O`
overall reaction: `Pb(s)+PbO_(2)(s)+2H_(2)SO_(4)(aq) rarr 2PbSO_(4)(s)+2H_(2)O(l)`
(b) `E^(0)(cell)=E^(0)(Al^(+3)/Al)-E^(0)_(Mg^(+2)/Mg)` =+0.7V
`DeltaG^(0)=-nFE^(0)_(cell)`
= -6xx 96487xx0.7
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