Question

# Concentrated aqueous sulphuric acid 98% H2SO4 by mass has a density of 1.80 g mLâˆ’1. Volume of acid required to make one litre of 0.1 M mLâˆ’1. 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 D 5.55 mlGiven : Concentrated aqueous sulphuric acid is 98% H2S2O4 by massDensity −1.80 gm/L Number of moles in H2SO4 of concentration in 0.1 M and volume 1 L n=M×V ⇒0.1×1=0.1 mol Molecular mass of H2SO4=99 g Therefore , Mass of 0.1 mole H2SO4=0.1×98=9.8 g As we know that density = massvolume⇒ Volume =9.81.80=5.44 mL Given that the solution is 98% pure.Therefore,Volume required =5.4498×100=5.55 mLcHence the volume of acid required to make 1 liter of $0.1\ M\ H_{2} SO_{4} solutionis5.55\ ml$

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