Calculate the molality of solution of nonvolatile solute if boiling point elevation is 1.75 ~K [ ~K _ b . for solvent .=3 ~K ~kg ~mol ⁻¹ ]

Step-by-step solution

The molality m is determined from the boiling point elevation formula for a colligative property: T_b = K_b m Given T_b = 1.75~ K and K_b = 3~ K~kg~mol⁻¹ , solving for m yields: m = T_b K_b = 1.75 3 = 0.5833~ mol~kg⁻¹ Rounded to two decimal places, m = 0.58~ m , which corresponds to option C .