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Hydrogen

Question
CBSEENCH11006974

What is the mass of hydrogen peroxide present in 1 litre of 2M solution? Calculate the volume of oxygen at STP liberated upon the complete decomposition of 100 cmof the above solution.

Solution

(i) To calculate the mass of H2O2 in 1 litre of 2 M solution:
    Moleuclar mass of H2O2 = 2 x 1 + 2 x 16 = 34 amu
  Now 1 litre of 1 M solution contains
          H2O2 = 34 g
therefore space space space 1 litre space of space 2 space straight M space solution space contains space straight H subscript 2 straight O subscript 2 space equals space 34 space cross times space 2 space equals space 68 space straight g
(ii) To calculate the volume of O2 liberated at STP from 1000 cm3 of 2M solution:
             Decomposition of H2O2 can be represented as:
                      2 straight H subscript 2 straight O subscript 2 space rightwards arrow space space 2 straight H subscript 2 straight O space plus space straight O subscript 2
2 space straight x space 34 space equals space 68 space straight g space space 22400 space cm cubed space at space STP
1 space litre space of space 2 MH subscript 2 straight O subscript 2 space solution space contains space straight H subscript 2 straight O subscript 2 space equals space 68 space straight g
therefore space space space space 100 space cm cubed space of space 2 straight M space straight H subscript 2 straight O subscript 2 space solution space contains space space straight H subscript 2 straight O subscript 2 space equals space 68 space straight g
space
                                straight H subscript 2 straight O subscript 2 space equals space 68 over 1000 cross times 100 space equals space 6.8 space straight g
Now 68 g of straight H subscript 2 straight O subscript 2 at S.T.P. given O2 = 22400 cm3
therefore space space 6.8 space straight g space of space straight H subscript 2 straight O subscript 2 space at space STP space would space give space straight O subscript 2
space space space space space space equals space 22400 over 68 cross times 6.8 space equals space 2240 space cm cubed space equals space 2.24 space litre.