MCQ
The density of $\mathrm{NaOH}$ solution is $1.2 \mathrm{gcm}^{-3} .$ The molality of this solution is $....\,m$

(Round off to the NearestInteger)

[Use:Atomicmasses:$Na:23.0\,u \mathrm{O}: 16.0 \,\mathrm{u} \quad \mathrm{H}: 1.0 \,\mathrm{u}$, Density of $\mathrm{H}_{2} \mathrm{O}: 1.0 \,\mathrm{~g} \,\mathrm{~cm}^{-3}$ ]

  • A
    $6$
  • $5$
  • C
    $4$
  • D
    $1$

Answer

Correct option: B.
$5$
b
Consider $1\, \ell$ solution

mass of solution $=(1.2 \times 1000)\, \mathrm{g}$

$=1200\, \mathrm{gm}$

Neglecting volume of $\mathrm{NaOH}$

Mass of water $=1000\, \mathrm{gm}$

$\Rightarrow$ Mass of $\mathrm{NaOH}=(1200-1000)\, \mathrm{gm}$

$=200\, \mathrm{gm}$

$\Rightarrow$ Moles of $\mathrm{NaOH}=\frac{200\, \mathrm{~g}}{50\, \mathrm{~g} / \mathrm{mol}}=5\, \mathrm{~mol}$

$\Rightarrow$ molality $=\frac{5 \,\mathrm{~mol}}{1\, \mathrm{~kg}}=5\, \mathrm{~m}$

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