Final answer:
The molality of a solution made by dissolving 2 moles of NaOH in 6 kg of water is calculated by dividing the moles of solute (NaOH) by the kilograms of solvent (water), resulting in a molality of 0.33 mol/kg, which is option A.
Step-by-step explanation:
The molality of a solution is defined as the number of moles of solute per kilogram of solvent. To calculate molality, we use the formula:
Molality (m) = moles of solute / kilograms of solvent
In this case, we have 2 moles of NaOH dissolved in 6 kg of water. Plugging these values into the formula yields:
Molality (m) = 2 moles NaOH / 6 kg water = 0.33 mol/kg
Therefore, the molality of the solution is 0.33 mol/kg, which corresponds to option A.