ANSWER
The mass of water is 0.0536 kg
STEP-BY-STEP EXPLANATION;
Given information
The mass of KNO3 = 175g
The molarity of the solution = 32.25 M
The molality formula is given below as
[tex]\text{ Molality = mole of solute }\div\text{ kg of solvent}[/tex]The first step is to find the mole of the solute using the below formula
[tex]\text{ Mole = mass }\div\text{ molar mass}[/tex]Recall, the molar mass of KNO3 is 101.1032 g/mol
[tex]\begin{gathered} \text{ Mole = 175 }\div\text{ 101.1032} \\ \text{ Mole = 1.731 moles} \end{gathered}[/tex]The second step is to find the mass of water using the molality formula
[tex]\begin{gathered} \text{ Molality = mole of solute }\div\text{ kg of solvent} \\ 32.25\text{ = 1.731}\div\text{ kg of solvent} \\ \text{ cross multiply} \\ \text{ 1.731 = 32.25 }\times\text{ Kg of solvent} \\ \text{ kg of solvent = 1.731 }\div\text{ 32.25} \\ \text{ kg of solvent = 0.0536 kg} \end{gathered}[/tex]Hence, the mass of water is 0.0536 kg
