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How to calculate % free SO3 in given Oleum sample ?

CALCULATIONS OF FREE SO3 IN (X%) OLEUM SAMPLE :
Given - X %  labelled 100 gm Oleum,it means  (X-100) gm water required to destroyed all free SO3present in 100 gm Oleum.
                                               
WH2O= (X-100) gm
BY STOICHIOMETRIC CALCULATION:
Weight of SO= nSO3 X Molecular wt SO3

Weight of H2SO= nH2SO4 X Molecular wt of H2SO4
 
thus % (Free) SOpresent in 100 gm 109% labelled Oleum Sample is

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