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NEET 2006
Exam
NEET
Year
2006
Subject
Chemistry
Chapter
Solutions

NEET 2006 · Chemistry · Solutions

A solution containing 10 g per (dm^3) of urea (molecular mass (=60...

A solution containing 10 g per (\mathrm{dm}^3) of urea (molecular mass (=60 \mathrm{~g} \mathrm{~mol}^{-1})) is isotonic with a (5 \%) solution of a nonvolatile solute. The molecular mass of this nonvolatile solution is:

Options

  1. A(250 \mathrm{~g} \mathrm{~mol}^{-1})
  2. B(300 \mathrm{~g} \mathrm{~mol}^{-1})
  3. C(350 \mathrm{~g} \mathrm{~mol}^{-1})
  4. D(200 \mathrm{~g} \mathrm{~mol}^{-1})

Correct answer

C. (350 \mathrm{~g} \mathrm{~mol}^{-1})

Step-by-step solution

The molar concentration of urea solution =\frac{10 g / d m^3}{\text{ Mol. wt. of urea }}=\frac{10}{60} \mathrm{M}=\frac{1}{6} \mathrm{M}Molar concentration of 5%5 \% nonvolatile solute =50 g/dm3 mol. wt. of non - volatile solute =50 mM\begin{aligned}& =\frac{50 \mathrm{~g} / \mathrm{dm}^3}{\text{ mol. wt. of non - volatile solute }}\\ & =\frac{50}{\mathrm{~m}} \mathrm{M} \end{aligned}Both solutions are isotonic to each other; therefore, 16=50m\quad \frac{1}{6}=\frac{50}{m} m=50 ×\times6=300  g mol−1\mathrm{~g} \mathrm{~mol}^{-1}Caution 10 g10 \mathrm{~g} per dm3\mathrm{dm}^3 of urea is isotonic with 5%5 \% solution of a non-volatile solute. Hence, osmosis cannot occur between the two solutions. Thus, their molar concentrations are equal to each other.
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