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Question

Concentrated aqueous sulphuric acid is 98% H2SO4 by mass and has a density of 1.80gm/L. Volume of acid required to make one litre of 0.1M H2SO4 solution is:

A
16.65 ml
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B
22.20 ml
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C
5.55 ml
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D
11.10 ml
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Solution

The correct option is B 5.55 ml
Solution:- (C) 5.55mL
Given:-
Concentrated aqueous sulphuric acid is 98%H2SO4 by mass
Density =1.80gm/L
Number of moles in H2SO4 of concentration 0.1M and volume 1L-
n=M×V
=0.1×1=0.1 mol
Molecular mass of H2SO4=98g
Therefore,
Mass of 0.1 mole H2SO4=0.1×98=9.8g
As we know that,
density=massvolume
Volume=9.81.80=5.44mL
Given that the solution is 98% pure.
Therefore,
Volume required =5.4498×100=5.55mL
Hence the volume of acid required to make 1 litre of 0.1MH2SO4 solution is 5.55ml.

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