Here's how to calculate the molality of the solution:

1. Understand Molality

Molality (m) is a measure of concentration defined as the number of moles of solute per kilogram of solvent.

2. Identify Solute and Solvent

* Solute: Sodium bromide (NaBr) - the substance being dissolved

* Solvent: Methanol (CH₃OH) - the substance doing the dissolving

3. Calculate Moles of Solute

* Molar mass of NaBr: 102.89 g/mol

* Moles of NaBr: (16.6 g NaBr) / (102.89 g/mol) = 0.161 mol NaBr

4. Calculate Mass of Solvent in Kilograms

* Mass of methanol: 1330 g

* Mass of methanol in kilograms: 1330 g / 1000 g/kg = 1.33 kg

5. Calculate Molality

* Molality (m): (0.161 mol NaBr) / (1.33 kg CH₃OH) = 0.121 mol/kg

Therefore, the molality of the solution is 0.121 mol/kg.