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Q.

How long (in hours) should water be electrolysed by passing through 100 amperes current so that the oxygen released can completely burn 27.6 g of diborane? (Atomic wt. of B = 10.8 u)

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answer is 3.21.

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Detailed Solution

B2H6+3O2B2O3+3H2O 
molar mass of  B2H6=(2×10.8)+(1×6)=27.6
  Mole of  B2H6  in  27.66  g=27.6627.61
Thus 1 mole  B2H6  requires 3 mole  O2.
In electrolysis of  H2O
Anode :  2H2O4H++O2+4e
  nfactor  of  O2=4
    Cathode :  2H2O+2e2OH+H2]×2   .
Redox          6H2O4H++4OH+2H2+O2
or                 2H2O2H2+O2
Now equivalent of O2=n× mole of  O2
                                    =4×3=12
Also                  wE=it96500
                   t=wE×96500i=12×96500100sec
 t=12×96500100×3600  hr=3.216  hr

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