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The density (in g mL^(-1)) of a 3.60M su...

The density (in g `mL^(-1))` of a `3.60M` sulphuric acid solution that is `29% H_(2)SO_(4)` (Molar mass `= 98 g mol^(-1))` by mass will be

A

1.64

B

1.88

C

1.22

D

1.45

Text Solution

Verified by Experts

The correct Answer is:
C
Let the density of solution be ‘d’
Molarity of solution given = 3.6
i.e., 1 litre of solution contains 3.6 moles of `H_(2)SO_(4)`
or 1 litre of solution contains `3.6xx98g` of `H_(2)SO_(4)`
Since, the solution is 29% by mass
100 g solution contains 29 g `H_(2)SO_(4)`
`(100)/(d)`mL. solution contains 29 g of `H_(2)SO_(4)`
1000 mL solution contains `3.6xx98g` of `H_(2)SO_(4)`
`therefore 3.6xx98=(29xxd)/(100)xx1000`
d = 1.22.
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