Verified Solution • 2025–26 Session moderate

QJEEM22Chf086: JEE Main 2022 Chemistry - Class 12 JEEM22Chf086 Solution: Two solutions A and B are prepared by dissolving 1 g of…

Two solutions A and B are prepared by dissolving 1 g of non-volatile solutes X and Y, respectively in 1 kg of water. The ratio of depression in freezing points for A and B is found to be 1 : 4. The ratio of molar masses of X and Y is

Multiple Choice Options

  • A 1:04
  • B 01:00.3
  • C 01:00.2
  • D 1:05

Step-by-Step Verified Solution

ΔTf=ikf×m\Delta T_{f}=i k_{f} \times m

ΔTf(A)ΔTf(B)=14\frac{\Delta T_{\mathrm{f}(\mathrm{A})}}{\Delta \mathrm{T}_{\mathrm{f}(\mathrm{B})}}=\frac{1}{4}

i×Kf×1MA×1i×Kf×1MB×1=14\frac{\mathrm{i} \times \mathrm{K}_{\mathrm{f}} \times \frac{1}{\mathrm{M}_{\mathrm{A}}} \times 1}{\mathrm{i} \times \mathrm{K}_{\mathrm{f}} \times \frac{1}{\mathrm{M}_{\mathrm{B}}} \times 1}=\frac{1}{4}

MBMA=14\frac{M_{B}}{M_{A}}=\frac{1}{4}

MA:MB=4:1M_{A}: M_{B}=4: 1

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