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Question

0.5g of fuming H2SO4 oleum is diluted with 100ml of water. This solution is completely neutralised by 26.7ml of 0.4N NaOH.

Find mass of SO3 and percentage of free SO3 .

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Solution

H2SO4 + SO3 + H2O -> 2(H2SO4) .

==> SO3 + H2SO4 -----> H2SO4

( Equivalent = Eq )

∴ Eq of SO3 = 1/2 of H​2SO4

==> Eq of H2SO4 + Eq of SO3 = Eq of total H2SO4

Eq of total H2SO4 = (Normality x volume (ml) )/1000 = (0.4 x 26.7) / 1000 = 10.68/1000


Let mass of SO2 =x
mass of H2SO4 = (0.5-x)

= (0.5 - x)/49 + x/40 = 10.68/1000

Solving.... We get
x = 0.103g

mass of SO3 = 0.103 g

Percentage of free SO3 = =100x/ .5 = (0.1036 x 100) /0.5 = 20.6 %

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