JEE Main 2023ChemistrySolutionsMediumNumerical

JEE Main 2023 — Solutions Question with Solution

JEE Main 2023 (01 Feb Shift 2)

Question

20% of acetic acid is dissociated when its 5 g is added to 500 mL of water. The depression in freezing point of such water is _____×10-3C∘. Atomic mass of C,H and O are 12, 1 and 16 a.m.u. respectively.

[Given : Molal depression constant and density of water are 1.86   K kg mol-1 and 1 g cm-3 respectively.

Enter your answer

Show full solutionCorrect answer: 372
Correct answer
372

Step-by-step explanation

Van't Hoff factor (i) for dissociation of acetic acid can be written as follows,

i=1+(n-1)α

n=Number of ions

α=Degree of dissociation

(i=1+0.2(2-1)=1.2

ΔTf=iKfmΔTf=Depression in freezing pointKf=Molar depression constantm=molality

ΔTf=1.2×1.86×5×100060×500

ΔTf=0.372

ΔTf=372×10-3

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About this question

This is a previous-year question from JEE Main 2023, covering the Solutions chapter of Chemistry. PrepSharp catalogues every PYQ from JEE Main with a verified answer key and step-by-step solution prepared by IIT alumni — so you can search by chapter, topic or year and revise efficiently.