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Lead storage battery contains 38 \% by weight solution of \mathrm{H}_2 \mathrm{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 \mathrm{K}_f=1.8 \mathrm{~K} \mathrm{~kg} \mathrm{~mol}^{-1}

Option: 1

243


Option: 2

-


Option: 3

-


Option: 4

-


Answers (1)

best_answer

\begin{aligned} & \Delta \mathrm{T}_{\mathrm{f}}=\mathrm{i} \cdot \mathrm{kf} \cdot \mathrm{m} \\ & \mathrm{m}=\frac{38}{98} \times \frac{1000}{62} \\ & \Delta \mathrm{T}_{\mathrm{f}}=2.67 \times 1.8 \times \frac{38}{98} \times \frac{1000}{62} \\ & \Delta \mathrm{T}_{\mathrm{f}}=30.05 \\ & \text { F.P. }=273-30=243 \mathrm{~K} \end{aligned}

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