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### Concentrated Hydrochloric Acid
Concentration: 36.5% HCl by mass
Density: 1.18 g/mL
Molarity (M)
To calculate the molarity (M), we need to know the mass of HCl in 1 L of the solution.
Mass of HCl = 36.5 g / 100 g solution * 1000 g solution / 1 L solution = 365 g HCl / L solution
Molar mass of HCl = 36.46 g/mol
Molarity (M) = (365 g HCl / L solution) / (36.46 g/mol) = 10.0 M
Molality (m)
Molality (m) is defined as the number of moles of solute per kilogram of solvent. In this case, the solvent is water.
Mass of water = 1000 g solution - 365 g HCl = 635 g water
Molality (m) = (365 g HCl / 36.46 g/mol) / (635 g water / 1000 g/kg) = 16.1 m