Solutions Question 172

Question: How many grams of methyl alcohol should be added to 10 litre tank of water to prevent its freezing at 268K ? ( $ K_{f} $ for water is $ 1.86Kkgmo{l^{-1}} $ )

Options:

A) 880.07 g

B) 899.04 g

C) 886.02 g

D) 868.06 g

Show Answer

Answer:

Correct Answer: D

Solution:

$ \Delta T_{f}=K_{f}m $ where w=molality $ 273-268=1.86\times \frac{w}{M\times v} $

$ 5=1.86\times \frac{w}{32\times 10} $

$ w=\frac{5\times 32\times 10}{1.86} $

$ =860.2\approx 868.06g $



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