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Question: Answered & Verified by Expert
A 0.1 molal solution of an acid is $4.5 \%$ ionized. Calculate freezing point. (molecular weight of the acid is 300$) . K_f=1.86 \mathrm{~K} \mathrm{~mol}^{-1} \mathrm{~kg}$.
ChemistrySolutionsAIIMSAIIMS 2009
Options:
  • A $-0.194^{\circ} \mathrm{C}$
  • B $2.00^{\circ} \mathrm{C}$
  • C $0^{\circ} \mathrm{C}$
  • D $-0.269^{\circ} \mathrm{C}$
Solution:
1802 Upvotes Verified Answer
The correct answer is: $-0.194^{\circ} \mathrm{C}$
If acid is $4.5 \%$ ionized then $\alpha=0.045$.
$\begin{aligned} & \Delta T_f=\text { molality } \times K_f=0.1 \times 1.86=0.186 \\ & \Delta T_{\exp }=\Delta T_f(1+\alpha)=0.186(1+0.045)=0.194^{\circ} \mathrm{C}\end{aligned}$

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