QJEEM22Ch7ccd: JEE Main 2022 Chemistry - Class 12 JEEM22Ch7ccd Solution: The depression in freezing point observed for a formic acid…

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QJEEM22Ch7ccd: JEE Main 2022 Chemistry - Class 12 JEEM22Ch7ccd Solution: The depression in freezing point observed for a formic acid…

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 $k_{f} = 1.86 k kg {mol}^{- 1}$ )

Multiple Choice Options

A 0.8
B 1.1
C 1.9
D 2.4

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Accepted Answer

Δ T_{f}

of formic acid

= {0.0405}^{\circ} C

Concentration

= 0.5 mL / L

and density

= 1.05 g / mL

∴

Mass of formic acid in solution

= 1.05 \times 0.5 g

= 0.525 g

∴

According to Van't Hoff equation,

\begin{aligned} Δ T_{f} = i k_{f} \cdot m \\ 0.0405 = i \times 1.86 \times \frac{0.525}{46 \times 1} \end{aligned}

(Assuming mass of

1 L

water

= kg

)

i = \frac{0.0405 \times 46}{1.86 \times 0.525} = 1.89 \approx 1.9

QJEEM22Ch7ccd: JEE Main 2022 Chemistry - Class 12 JEEM22Ch7ccd Solution: The depression in freezing point observed for a formic acid…

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