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JEE Main 202124 FebruaryEvening Shift
Exam
JEE Main
Year
2021
Date
24 February
Shift
Evening Shift
Subject
Chemistry
Chapter
Solutions

JEE Main 2021 · 24 February · Evening Shift · Chemistry · Solutions

C _ 6 H _ 6 freezes at 5 . 5 ° C . The temperature at which a...

C6H6{C}_{6}{H}_{6} freezes at 5.5°C.5 . 5 ° C . The temperature at which a solution of 10g10g of C4H10{C}_{4}{H}_{10} in 200g200g of C6H6{C}_{6}{H}_{6} freeze is _______C∘.C ∘ . (nearest integer value), (The molal freezing point depression constant of C6H6{C}_{6}{H}_{6} is 5.12°C/m.5 . 12 ° C / m .)C _ 6 H _ 6 freezes at 5 . 5 ° C . The temperature at which a solution of 10g of C _ 4 H _ 10 in 200g of C _ 6 H _ 6

Correct answer

0

Step-by-step solution

Pure Solvent: C6H6(ℓ){C}_{6}{H}_{6}\left(ℓ\right)

Given: Tf°=5.5°C{T}_{f} ° = 5 . 5 ° C

Kf=5.12°C/m{K}_{f} = 5 . 12 ° C / m

C _ 6 H _ 6 freezes at 5 . 5 ° C . The temperature at which a solution of 10g of C _ 4 H _ 10 in 200g of C _ 6 H _ 6

:Solute is non dissociative

∵ΔTf=kf×m∵ \Delta{T}_{f} = {k}_{f} \times m

⇒(Tf0−Tf′)=5.12×(1058)(2001000)kgmol⇒ \left({T}_{f}^{0} - {T}_{f}^{'}\right) = 5 . 12 \times \dfrac{\left(\dfrac{10}{58}\right)}{\left(\dfrac{200}{1000}\right)kg}mol

⇒5.5−Tf′=5.12×5×1058⇒ 5 . 5 - {T}_{f}^{'} = \dfrac{5 . 12 \times 5 \times 10}{58}

⇒Tf′=1.086°C≃1C∘⇒ {T}_{f}^{'} = 1 . 086 ° C ≃ 1 C ∘

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