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Question

108 g of silver (molar mass 108 g mol1) is deposited at cathode from AgNO3(aq) solution by a certain quantity of electricity. The volume (in L) of oxygen gas produced at 273 K and 1 bar pressure from water by the same quantity of electricity is ______ (up to two decimel)

A
5.67
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B
5.670
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Solution

Number of moles of Ag(s) gets deposited,
nAg=108108=1mol

Ag++1eAg(s)

1 F charge is required for 1 mol of Ag

Electrolysis of water:
Oxidation reaction,
H2O12O2+2H++2e

12mole of O2 liberated from 2 F charge.
Thus,
14mole of O2 liberated from 1 F charge.

By gas law,
PV=n R T

V=14×0.083×2731

V=5.675 L

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