Answer:
The molality of the solution is 1.08 m.
Explanation:
First, determine the mass of the solvent.
A 13% solution by mass indicates that 13 grams are found in every 100 grams of solution.
Thus, solution mass = solute mass + solvent mass
100 g = 13 g + solvent mass
Therefore, solvent mass = 100 g - 13 g → 87 g
Next, we calculate the moles of solute (mass / molar mass):
13 g / 138.2 g/mol = 0.094 moles
Finally, to find the molality, which is the moles of solute per 1 kg of solvent (mol/kg), we convert the solvent mass to kg:
87 g. 1 kg / 1000 g = 0.087 kg
Then, molality → 0.094 mol / 0.087 kg = 1.08 m