Find the molar concentration of sulfuric acid in a 20.0 wt% solution of sulfuric acid in water (sg=1.13).

The molarity of sulfuric acid solution is 2.3 M

Explanation:

The relationship between specific gravity and density of a substance is given as:

Specific gravity of sulfuric acid solution = 1.13

Density of water = 1.00 g/mL

Putting values in above equation we get:

We are given:

20% (m/m) sulfuric acid solution. This means that 20 g of sulfuric acid is present in 100 g of solution

Density of solution = 1.13 g/mL

Mass of Solution = 100 g

Putting values in above equation, we get:

We are given:

Mass of solute (sulfuric acid) = 20 g

Molar mass of sulfuric acid = 98 g/mol

Volume of solution = 88.5 mL

Putting values in above equation, we get:

Hence, the molarity of sulfuric acid solution is 2.3 M

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