1. Assume a Basis
* Assume you have 100 g of the solution. This makes the calculations easier.
2. Calculate the Mass of HCl
* Since the solution is 18.25% HCl by mass, you have 18.25 g of HCl in 100 g of solution.
3. Calculate the Volume of the Solution
* Use the density to find the volume:
* Volume = Mass / Density
* Volume = 100 g / 1.2 g/mL = 83.33 mL
4. Convert Volume to Liters
* 83.33 mL = 0.08333 L
5. Calculate Moles of HCl
* Molar mass of HCl = 36.46 g/mol
* Moles of HCl = Mass of HCl / Molar mass of HCl
* Moles of HCl = 18.25 g / 36.46 g/mol = 0.500 mol
6. Calculate Molarity
* Molarity (M) = Moles of solute / Volume of solution (in liters)
* Molarity = 0.500 mol / 0.08333 L = 6.00 M
Therefore, the molarity of the hydrochloric acid solution is 6.00 M.