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JEE Main 20246 AprilMorning Shift
Exam
JEE Main
Year
2024
Date
6 April
Shift
Morning Shift
Subject
Chemistry
Chapter
Some Basic Concepts of Chemistry

JEE Main 2024 · 6 April · Morning Shift · Chemistry · Some Basic Concepts of Chemistry

The density of ' x ' ( M ) solution (' X ' molar) of ( NaOH ) is...

The density of ' xx ' (M\mathrm{M}) solution (' XX ' molar) of (NaOH\mathrm{NaOH}) is (1.12  g mL−1\mathrm{~g} \mathrm{~mL}^{-1}), while in molality, the concentration of the solution is (3  m(\mathrm{~m}(3 molal)\mathrm{molal})). Then xx is (Given : Molar mass of (NaOH\mathrm{NaOH}) is (40  g\mathrm{~g}/ mol\mathrm{mol}) )

Options

  1. A3.5
  2. B3.8
  3. C2.8
  4. D3.0

Correct answer

D. 3.0

Step-by-step solution

 Molality =1000×M1000×d−M×(Mw)solute 3=1000×x1000×1.12−(x×40)x=3\begin{aligned} & \text{ Molality }=\frac{1000 \times \mathrm{M}}{1000 \times \mathrm{d}-\mathrm{M} \times(\mathrm{Mw})_{\text{solute }}} \\ & 3=\frac{1000 \times \mathrm{x}}{1000 \times 1.12-(\mathrm{x} \times 40)} \\ & \mathrm{x}=3\end{aligned}
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