Understanding Molality

* Molality (m) is a way to express the concentration of a solution. It's defined as the number of moles of solute (in this case, chlorine) per kilogram of solvent (water).

Key Information

* Molality (m) = 0.0362 m

* Solute: Chlorine (Cl₂)

* Solvent: Water (H₂O)

Calculations

1. Assume a Mass of Solvent: To make this problem easier, let's assume we have 1 kg (1000 g) of water.

2. Calculate Moles of Chlorine: Since molality is moles of solute per kilogram of solvent, we can calculate the moles of chlorine:

* moles of chlorine = molality × mass of solvent (in kg)

* moles of chlorine = 0.0362 m × 1 kg = 0.0362 moles

3. Convert Moles to Grams of Chlorine:

* We need the molar mass of chlorine (Cl₂), which is approximately 35.45 g/mol * 2 = 70.90 g/mol

* grams of chlorine = moles of chlorine × molar mass of chlorine

* grams of chlorine = 0.0362 moles × 70.90 g/mol ≈ 2.57 g

Answer

You would need approximately 2.57 grams of chlorine to prepare a 0.0362 molal solution in 1 kg of water.