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Determine the molarity of a solution with a density of 1.17 g/cm³, where the mass of solute is 1.17 g and the volume of the solution is 1 cm³.

1. 32.05 mol/L
2. 1.17 mol/L
3. 1170 mol/L
4. 36.5 mol/L

Correct answer: 32.05 mol/L

Solution

The molarity is calculated as moles of solute per liter of solution. Given density = 1.17 g/cc, mass = 1.17 g, and volume = 1 cc, the molar mass of the solute (assumed to be HCl) is 36.5 g/mol. Moles = 1.17 g / 36.5 g/mol = 0.03205 mol. Since 1 cc = 0.001 L, molarity = 0.03205 mol / 0.001 L = 32.05 M.

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