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Question

Question: The freezing point of 0.05 molal solution of a non-electrolyte in water is...

The freezing point of 0.05 molal solution of a non-electrolyte in water is

A

1.86 °C

B

-0.93 °C

C

-0.093 °C

D

0.93°C

Answer

-0.093 °C

Explanation

Solution

For a non-electrolyte, the freezing point depression is given by:

ΔTf=Kf×m\Delta T_f = K_f \times m

where KfK_f (water) = 1.86 °C/m and m=0.05m = 0.05 molal.

Thus,

ΔTf=1.86×0.05=0.093°C\Delta T_f = 1.86 \times 0.05 = 0.093\,°\text{C}

Since the freezing point of pure water is 0 °C, the freezing point of the solution is:

00.093=0.093°C0 - 0.093 = -0.093\,°\text{C}