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Q. Lead storage battery contains $38 \%$ by weight solution of $H _2 SO _4$. The van't Hoff factor is $2.67$ at this concentration. The temperature in Kelvin at which the solution in the battery will freeze is ______(Nearest integer).
Given $K _f=1.8\, K \,kg\, mol ^{-1}$

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Solution:

$ \Delta T _{ f }= i . K _{ f } \cdot m $
$ \Rightarrow \Delta T _{ f }=2.67 \times 1.8 \times \frac{38}{98} \times \frac{1000}{62} $
$ \Rightarrow \Delta T _{ f }=30.05 $
$ \therefore F . P .=243\, K$