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JEE Advanced 2007Paper 1
Exam
JEE Advanced
Year
2007
Paper
Paper 1
Subject
Chemistry
Chapter
Solutions

JEE Advanced 2007 · Paper 1 · Chemistry · Solutions

When 20 ~g of naphthoic acid (C_ 11 H_8 O_2) is dissolved in 50 ~g...

When 20 g20 \mathrm{~g} of naphthoic acid \left(\mathrm{C}_{11} \mathrm{H}_8 \mathrm{O}_2\right)isdissolvedinis dissolved in50 \mathrm{~g}ofbenzene(Kf=1.72 K kg mol−1)of benzene \left(K_f=1.72 \mathrm{~K} \mathrm{~kg} \mathrm{~mol}^{-1}\right), a freezing point depression of 2 K2 \mathrm{~K} is observed. The van't Hoff factor (i)(i) is

Options

  1. A0.50.5
  2. B1
  3. C2
  4. D3

Correct answer

A. 0.50.5

Step-by-step solution

Actual molecular weight of napthoic acid (C11H8O2)=172\left(\mathrm{C}_{11} \mathrm{H}_8 \mathrm{O}_2\right)=172  Molecular mass (calculated ) =1000.Kf⋅wW.ΔTf=1000×1.72×2050×2=344\begin{aligned} \text{ Molecular mass (calculated ) } & =\frac{1000 . K_f \cdot w}{W . \Delta T_f} \\ & =\frac{1000 \times 1.72 \times 20}{50 \times 2} \\ & =344 \end{aligned}
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