Converting mass percent to molarity: the density of a 24.5 mass % solution of sulphuric acid `(H_(2)SO_(4))` in water is `1.176 g mL^(-1)` at `25.0^(@)C`. What is the molarity of the solution?
Stregy: Use mass % to calculate number of moles of solute and use density of solution to calculate volume of solution. Describing a solution as 24.5 mass % `H_(2)SO_(4)` in `H_(2)O` means that every 100.0 g of solution contains 24.5 g of `H_(2)SO_(4)` and 75.5 g of `H_(2)O`. Since we want to calculate the concentration in molarity, we first need to find the number of moles of `H_(2)SO_(4)` dissolved in a specific mass of solution. Next we use density as a conversion factor to find the volume of that solution and then calculate molarity by dividing the number of moles of `H_(2)SO_(4)` by the volume of solution.