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Question
Q164) Concentrated aqueous sulphuric acid is 98% H_{2}SO_{4} by mass and has a density of 1.80 gmL^{–1}. Volume of acid required to make one litre of 0.2 M H_{2}SO_{4} solution is

SOLUTION

To make 0.1 M of H_{2}SO_{4}

Molecular weight of H_{2}SO_{4} is 98 g

∴ 19.6 g of sulphuric acid require to make 1L of 0.2M solution

As purity is 98% thus acid required will be =20 g

Now density is 1.8gmL^{-1} therefore weight of 1000mL acid = 1800 g

∴ 20g = 11.11 mL

Alternate method you can use formula for M if density and %w/w given

M=(%w/w × density ×10)/(molecular mass)

Then use M_{1}V_{1} = M_{2}V_{2}

Answer (d)