MCQ
The depression in freezing point observed for a formic acid solution of concentration $0.5\,mL\,L ^{-1}$ is $0.0405^{\circ}\,C$. Density of formic acid is $1.05\,g\,mL ^{-1}$. The Van't Hoff factor of the formic acid solution is nearly: (Given for water $k _{ f }=1.86\,K\,kg\,mol ^{-1}$ )
  • A
    $0.8$
  • B
    $1.1$
  • $1.9$
  • D
    $2.4$

Answer

Correct option: C.
$1.9$
c
$[ HCOOH ]=0.5\,ml\,1^{-1}$

$\Rightarrow\left(0.5 ml \times 1.05\,g\,ml ^{-1}\right) HCOOH$ in $1 L$

$\Rightarrow 0.525\,g\,HCOOH$ in $1\,L$

$m =\frac{(0.525 / 46)}{1\,kg } mol$ [Assuming dilute solution]

$\therefore \Delta T _{ f }= iK _{ f } m \Rightarrow i =\frac{\Delta T _{ f }}{ k _{ f } m }=\frac{0.0405 \times 46}{1.86 \times 0.525}=1.9$

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