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Depression of freezing point of 0.01 molal $aq . {CH}_{8} COOH$ solution is $0.02046 °$ . 1 molal urea solution freezes at $- 1.86 ° C$ . Assuming molarity equal to molarity, pH of ${CH}_{8} COOH$ solution is :

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2.3

4.2

answer is B.

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Detailed Solution

${ΔT}_{f} = K_{f} m \Rightarrow 1.86 = K_{f} \times 1$

$\Rightarrow K_{f} (H_{2} O) = 1.86$

$\begin{array}{l} K_{f} = 1.86; 0.02046 = i \times 1.86 \times 0.01 \\ \Rightarrow i = 1.1; α = 0.1 \\ \Rightarrow [H^{+}] = C α = 10^{- 3} \\ \Rightarrow pH = 3 \end{array}$

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