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Question 55

$$2.7$$ kg of each of water and acetic acid are mixed. The freezing point of the solution will be $$-x°C$$. Consider the acetic acid does not dimerise in water, nor dissociates in water. $$x =$$ ______ (nearest integer) [Given: Molar mass of water $$= 18$$ g mol$$^{-1}$$, acetic acid $$= 60$$ g mol$$^{-1}$$, $$K_f$$ H$$_2$$O: $$1.86$$ K kg mol$$^{-1}$$, $$K_f$$ acetic acid: $$3.90$$ K kg mol$$^{-1}$$, freezing point: H$$_2$$O $$= 273$$ K, acetic acid $$= 290$$ K]


Correct Answer: 31

Δ$$T_f=K_f$$ × m . 

Solvent is water (2.7kg). 

Solute is acetic acid: 2700/60=45 mol. 

m=$$\frac{\ 45}{2.7}$$=16.67.

Δ$$T_f=$$1.86×16.67=31°C. 

Freezing point = 0-31=-31°C.

The answer is $$\boxed{31}$$.

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