20% of acetic acid is dissociated when its 5 g is added to 500 mL of water. The depression in freezing point of such water is ______ °C. Atomic mass of C, H and O are 12, 1 and 16 a.m.u. respectively. (Given: Molal depression constant and density of wate

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Solution

Q.
20% of acetic acid is dissociated when its 5 g is added to 500 mL of water. The depression in freezing point of such water is ______ $\times 10^{- 3}$ °C. Atomic mass of C, H and O are 12, 1 and 16 a.m.u. respectively. (Given: Molal depression constant and density of water are 1.86 K kg ${mol}^{- 1}$ and 1 g ${cm}^{- 3}$ respectively) [2023]

Ans.
(372)

$α = 0.2$

$i = 1 + (n - 1) α = 1.2$

$Δ T_{f} = i k_{f} m = 1.2 \times 1.86 \times \frac{5 \times 1000}{60 \times 500}$

$= 0.372 = 372 \times 10^{- 3} ° C$

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