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Q.

A lead storage battery has been used for one month (30 days) at the rate of one hour per day by drawing a constant current of 2 amperes. H2SO4 consumed by the battery is 

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a

1.12 mole

b

2.24 mole

c

3.36 mole

d

4.48 mole

answer is B.

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Detailed Solution

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The reactions occurring during discharge are:

Anode: Pb(s)+SO42−(aq)→PbSO4(s)+2e

At cathode:PbO2(s)  +  4H+(aq)+SO42−(aq)+  2e−   = PbSO4(s)+2H2O(l)

Overall reaction reaction: Pb(s)+PbO2(s)+2H2SO4    = 2PbSO4(s)+2H2O(l)

Quantity of electricity consumed Q= i .t

The battery is working one hour per day for 30 days ;

total number of hours = 30 hours 

Q = (2A) (30×3600s) = 216000 C

 2 × 96500 coulombs consume H2SO4 = 2 moles

∴ 216000 coulombs will consume H2SO4 196500×216000=2.24 moles

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