Calculate the mole fraction of solute in the solution if solution is prepared by dissolving 394 g nonvolatile solute in 622 g water at 30^ C [Molar mass of solute =342 ~g ~mol ⁻¹ ]

Step-by-step solution

The mole fraction of the solute X_ solute is calculated using the masses and molar masses provided. Moles of solute are computed as n_ solute = 394 g 342 g mol ⁻¹ 1.1520 mol . For water, n_ water = 622 g 18 g mol ⁻¹ 34.5556 mol . The total moles are n_ total = 1.1520 + 34.5556 = 35.7076 mol . X_ solute = 1.1520 35.7076 0.03226 , which rounds to 0.032 with three significant figures. This value corresponds to option A .