A solution is 0.0480 m LiF (molality). If the density of the solution is 1.10 g/mL, what is the molarity (M) of the solution?

• A. 0.0480 M
• B. 0.0440 M
• C. 0.0528 M
• D. 0.0470 M

Answer: (C)

Verified step by step guidance

1. Understand the difference between molality (m) and molarity (M): molality is moles of solute per kilogram of solvent, while molarity is moles of solute per liter of solution.
2. Start with the given molality: 0.0480 mol LiF per 1 kg of solvent (water). This means you have 0.0480 moles of LiF dissolved in 1 kg of water.
3. Calculate the total mass of the solution by adding the mass of solute and solvent. First, find the mass of LiF using its molar mass (Li = 6.94 g/mol, F = 18.998 g/mol), then add it to 1000 g of solvent.
4. Use the density of the solution (1.10 g/mL) to find the volume of the solution in liters: volume (L) = total mass of solution (g) divided by density (g/mL), then convert mL to L.
5. Finally, calculate molarity using the formula \(M = \frac{\text{moles of solute}}{\text{volume of solution in liters}}\), where moles of solute is from step 2 and volume from step 4.