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Question

One of the methods of preparation of per disulphuric acid, H2S2O8 involve electrolytic oxidation of H2SO4 at anode (2H2SO4H2S2O8+2H++2e) with oxygen and hydrogen as by-products. In such an electrolysis, 10.08L of H2 and 2.24 L of O2 were generated at STP. What is the weight of H2S2O8 formed?

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Solution

At anode
2H2SO4H2S2O8+2H++2e
2H2O4H++O2(g)+4e
At Cathode,
2H2O+2e2OH+H2(g)
The number of moles of hydrogen liberated

=10.0822.4

=0.45 mol
Number of moles of electrons required for liberation of hydrogen =2×0.45 mole

Number of moles of electron required for liberation of hydrogen =2×0.45=0.90 mol e
The number of moles of oxygen liberated 2.2422.4=0.10 mol
The number of moles of oxygen electron released during liberation of oxygen =4×0.1=0.4 mol e
The number of moles of electrons released during formation of H2S2O8=0.90.4
=0.5 mol
Moles of H2S2O8 formed =0.52
Mass of H2S2O8 formed =0.25×194 g
=48.5 g

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