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Lead storage battery contains 38% by weight solution of H2SO4. 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 Kf=1.8 K kg mol-1

ChemistrySolutionsJEE MainJEE Main 2023 (30 Jan Shift 2)
Solution:
1461 Upvotes Verified Answer
The correct answer is: 243

The depression in freezing point of the solution can be written as follows,

ΔTf=i·Kf·m

molality (m) =w/w%Molar mass of solute×1000mass of solvent in grams

ΔTf=2.67×1.8×3898×100062

ΔTf=30.05

 Freezing point of solution at which battery freeze=243 K

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