Q13 / 160 · TS EAMCET 2015 · Chemistry

An aqueous dilute solution containing non-volatile solute boils at $100.52^{\circ} \mathrm{C}$. What is the molality of solution? $\left(K_b=0.52 \mathrm{~kg} \mathrm{~mol}^{-1} \mathrm{~K}\right.$, boiling temperature of water $=100^{\circ} \mathrm{C}$ )

  • Correct answer
    A
    $0.1 \mathrm{~m}$
  • B
    $0.01 \mathrm{~m}$
  • C
    $0.001 \mathrm{~m}$
  • D
    $1.0 \mathrm{~m}$

Solution

$\Delta T_b=K_b \cdot m$ $$ T_b-T_b^{\circ}=K_b \cdot m $$ where, $K_b=$ molal elevation constant $m=$ molality $$ \begin{aligned} (100.052-100.00) & =(0.52)(m) \\ 0.052 & =0.52 \times m \\ m & =0.1 \end{aligned} $$

Hence, the correct answer is option: 'A'.

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