Correct answer: 0.177
In a 1.00 m aqueous solution, 1 mole of solute is dissolved in 1 kg (1000 g) of water. The mole fraction is calculated as moles of solute divided by total moles (solute + solvent). Assuming water's molar mass is 18 g/mol, moles of water = 1000/18 ≈ 55.56. Mole fraction = 1 / (1 + 55.56) ≈ 0.0177.