Answer: The mass of water that should be added in 203.07 grams
Step-by-step explanation:
To calculate the molality of solution, we use the equation:

Where,
m = molality of barium iodide solution = 0.175 m
 = Given mass of solute (barium iodide) = 13.9 g
 = Given mass of solute (barium iodide) = 13.9 g
 = Molar mass of solute (barium iodide) = 391.14 g/mol
 = Molar mass of solute (barium iodide) = 391.14 g/mol
 = Mass of solvent (water) = ? g
 = Mass of solvent (water) = ? g
Putting values in above equation, we get:

Hence, the mass of water that should be added in 203.07 grams