When 45 ~g of solute is dissolved in 600 ~g water, freezing point gets lowered by 2.2 ~K , calculate molar mass of solute. (K_f=1.86 ~K ~kg ~mol ⁻¹ )

Step-by-step solution

aligned & w₁=600 ~g , T_f=2.2 ~K & w₂=45 ~g , K_f=1.86 ~K ~kg ~mol ⁻¹ & M= K_f w₂ T_f w₁ = 1.86 45 1000 2.2 600 =63.4 ~g ~mol ⁻¹ aligned