1. Understand the Concentration Unit:
* 10% (w/w): This means that there are 10 grams of HCl for every 100 grams of solution.
2. Assume a Solution Mass:
* To make the calculation easier, let's assume we have 100 grams of solution. This means we have 10 grams of HCl.
3. Convert Mass of HCl to Moles:
* Molar mass of HCl: 1.01 g/mol (H) + 35.45 g/mol (Cl) = 36.46 g/mol
* Moles of HCl: (10 g HCl) / (36.46 g/mol) = 0.274 moles HCl
4. Calculate the Volume of the Solution:
* Density of 10% HCl solution: Approximately 1.05 g/mL (This can vary slightly depending on the exact concentration)
* Volume of solution: (100 g solution) / (1.05 g/mL) = 95.2 mL = 0.0952 L
5. Calculate Molarity:
* Molarity (M) = Moles of solute / Liters of solution
* Molarity: (0.274 moles HCl) / (0.0952 L) = 2.88 M
Therefore, a 10% (w/w) aqueous solution of HCl is approximately 2.88 M.
Important Note: The density of the solution is an approximation. For highly accurate molarity calculations, you would need to know the precise density of the specific HCl solution you are working with.
