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JEE Main 202330 JanuaryEvening Shift
Exam
JEE Main
Year
2023
Date
30 January
Shift
Evening Shift
Subject
Chemistry
Chapter
Solutions

JEE Main 2023 · 30 January · Evening Shift · Chemistry · Solutions

Lead storage battery contains 38 % by weight solution of H _ 2 SO _...

Lead storage battery contains 3838 % by weight solution of H2SO4{H}_{2}{SO}_{4}. The van't Hoff factor is 2.672 . 67 at this concentration. The temperature in Kelvin at which the solution in the battery will freeze is _____ (Nearest integer).

Given Kf=1.8Kkgmol−1{K}_{f} = 1 . 8Kkg{mol}^{- 1}

Correct answer

0

Step-by-step solution

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

ΔTf=i⋅Kf⋅m{\Delta T}_{f} = i \cdot {K}_{f} \cdot m

molality (m) = \dfrac{w / w %}{Molarmassofsolute} \times \dfrac{1000}{massofsolventingrams}

⇒ΔTf=2.67×1.8×3898×100062⇒ {\Delta T}_{f} = 2 . 67 \times 1 . 8 \times \dfrac{38}{98} \times \dfrac{1000}{62}

⇒ΔTf=30.05⇒ {\Delta T}_{f} = 30 . 05

∴∴ Freezing point of solution at which battery freeze=243K= 243K

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