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Oleum is considered as a solution of SO(...

Oleum is considered as a solution of `SO_(3)` in `H_(2)SO_(4)`, which is obtained by passing `SO_(3)` in solution of `H_(2)SO_(4)` When 100 g sample of oleum is diluted with desired mass of `H_(2)O` then the total mass of `H_(2)SO_(4)` obtained after dilution is known is known as % labelling in oleum.
For example, a oleum bottle labelled as '`109% H_(2)SO_(4)`' means the 109 g total mass of pure `H_(2)SO_(4)` will be formed when 100 g of oleum is diluted by 9 g of `H_(2)O` which combines with all the free `SO_(3)` present in oleum to form `H_(2)SO_(4)` as `SO_(3)+H_(2)O to H_(2)SO_(4)`
If excess water is added into a bottle sample labelled as "112%`H_(2)SO_(4)`" and is reacted with 5.3 g `NaCO_(3)` then find the volume of `CO_(2)` evolved at 1 atm pressure and 300 K temperature after the completion of the reaction :

A

`2.46 L`

B

`24.6 L`

C

`1.23 L`

D

`12.3 L`

Text Solution

Verified by Experts

The correct Answer is:
C

`H_(2)SO_(4)+Na_(2)CO_(3)rarrNa_(2)SO_(4)+2H_(2)O+CO_(2)`
`{:((112)/(98),(5.3)/(106)," "0.05),(1.1428,0.05,):}`
`V_(co^(2)) = 0.05xx24.63 = 1.23l`
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