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What is the freezing point of 0.251 m urea in water?

Short Answer

Expert verified

The freezing point is-0.664°C

Step by step solution

01

Concept

The freezing point of a solution containing a non-volatile solute is lower than the freezing point of a pure solvent. The depression in the freezing point can be calculated as:

Δ°Õf=iKfm

where the Kfis the molal freezing point depression constant and its value is equal to1.86C°/mfor aqueous solutions. The mis the molality of the particles, the iis the van’t Hoff factor, and its value for 1 urea is 1 because a urea is a non-electrolyte substance and it does not dissociate into ions in a solution

02

Calculate the depression in freezing point for urea (ΔTf)

∆Tf=iKfm=1.86°C/m×0.251m=0.466°C

03

Freezing point of solution

Δ°Õf=Tsolvent-TsolutionTsolvent=0°C0°C-Tsolution=0.466°CTsolution=-0.466°C.

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