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Q.

A lead storage battery has initially 200 g of lead and 200 g of PbO2 plus excess H2SO4. Theoretically, how long could this cell deliver a current of 10.0A, without recharging, if it were possible to operate it so that the reaction goes to completion? (Pb = 208)

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An Intiative by Sri Chaitanya

a

16083.33 s

b

8041.67 s

c

44.68 s

d

18557.7s

answer is A.

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Detailed Solution

Cell reaction during discharge 
Pb + PbO2 + 2H2SO4 → 2PbSO4 + 2H2O
nPb taken =200208 and nPbO2 taken =200240
Hence, PbO2 is L.R 
Now, neqPbO2=QF200240×2=10×t96500
t = 16083.33 sec

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