Calculating Molality of a Sulfuric Acid Solution

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To calculate the molality of a 77.0% sulfuric acid solution with a density of 1.303 g/mL, first express the percentage as a fraction, noting that 77g of H2SO4 is present in a 100g solution. The solvent mass is determined by subtracting the solute mass from the total mass, resulting in 23g of solvent, which converts to 0.023 kg. The next step involves calculating the number of moles of H2SO4 using its molecular weight. Finally, molality is found by dividing the moles of H2SO4 by the mass of the solvent in kilograms. This process provides the required molality of the solution.
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Homework Statement


You are given a 77.0% solution of sulfuric acid, H2SO4. What is the molality of this solution? The density of the H2SO4 solution is 1.303 g/mL.


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The Attempt at a Solution


I know I divide 77.0 by 100, and then I have no idea from there.
 
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Molality means the number of moles of solute in one kilogram of SOLVENT.

Express your percentage concentration as a fraction or ratio, using a numerator and a denominator. You are given the density of solution, and you may need the the molecular weight of H2SO4. Your targe result is to be in moles of H2SO4 per kilogram of water. You should obviously understand that 77.0% means \frac{77}{100}.
 
Molality means moles solute over kg solvent but it did not say the solution was aqueous, so do not assume the solvent is water. Assume 77g in 100g solution. 100g-77g=23g solvent. Convert to kg solvent. Last step would be to convert the 77g sulfuric acid to moles using the molecular weight from the periodic table. If you need to convert to Molarity also, that's where the density conversion factor will be needed.
 
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