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Mass percentage is a way to express the concentration of a solute in a solution. It represents the ratio of the mass of the solute to the total mass of the solution, multiplied by 100 to get a percentage. It's a straightforward measure that helps understand how much of a given substance is present in a solution relative to the entire mixture.
In the scenario provided, the mass percentage of sulfuric acid (Hâ‚‚SOâ‚„) is calculated by dividing the mass of the acid by the total mass of the solution. Given that the solution contains 571.6 grams of Hâ‚‚SOâ‚„ and the total mass of the solution is 1329 grams, the mass percentage formula is:\[\text{Mass percentage of } \mathrm{H_2SO_4} = \left(\frac{\text{mass of } \mathrm{H_2SO_4}}{\text{total mass of solution}}\right) \times 100 = \left(\frac{571.6 \text{ g}}{1329 \text{ g}}\right) \times 100 \approx 43.0\%\]
This means that 43% of the solution's mass comes from sulphuric acid.

The mole fraction is a way to express the concentration of a component in a mixture. It describes the ratio of the number of moles of a particular component to the total number of moles of all components in the mixture. This measure is particularly useful in calculating vapor pressures and for understanding colligative properties.To find the mole fraction of sulfuric acid in a solution, you first need to compute the number of moles of both the solute (H₂SO₄) and the solvent (H₂O). Using their respective molar masses, you can calculate:- Moles of H₂SO₄: 571.6 g ÷ 98.08 g/mol ≈ 5.83 moles- Moles of H₂O: 757.4 g ÷ 18.02 g/mol ≈ 42.04 molesThe mole fraction of H₂SO₄ is then determined by dividing the moles of H₂SO₄ by the total moles in the solution:\[\text{Mole fraction of } \mathrm{H_2SO_4} = \frac{5.83}{5.83 + 42.04} \approx 0.122\]
This value indicates that Hâ‚‚SOâ‚„ makes up 12.2% of the total mole content of the solution.

Molality is a measure of the concentration of solute in a solution in terms of moles per kilogram of solvent, not the overall solution. This is an advantageous measure when studying properties that are influenced by temperature changes, as molality doesn’t depend on temperature because it’s based on mass rather than volume.To calculate molality for the sulfuric acid solution, you use the number of moles of H₂SO₄ and the mass of the solvent in kilograms:- Moles of solute (H₂SO₄): 5.83 moles- Mass of solvent (H₂O): 757.4 g or 0.7574 kgThe formula for molality is then applied as follows:\[\text{Molality of } \mathrm{H_2SO_4} = \frac{5.83 \text{ moles}}{0.7574 \text{ kg}} \approx 7.70 \text{ mol/kg}\]
This means that there are 7.70 moles of sulfuric acid per kilogram of water in the solution.

Molarity is a concentration term that specifies the number of moles of solute per liter of solution. It is a common and convenient measure used frequently in laboratory settings and chemical reactions as it relates directly to the volume of liquid.In order to calculate the molarity of the sulfuric acid solution, you simply take the number of moles of Hâ‚‚SOâ‚„ and divide it by the volume of the solution in liters (here, 1 liter is given):\[\text{Molarity of } \mathrm{H_2SO_4} = \frac{5.83 \text{ moles}}{1 \text{ liter}} = 5.83 \text{ mol/L}\]
This means there are 5.83 moles of Hâ‚‚SOâ‚„ in every liter of the solution. Molarity is particularly useful for preparing solutions and conducting titration experiments.