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JIPMER 2018
Exam
JIPMER
Year
2018
Subject
Chemistry
Chapter
Solutions

JIPMER 2018 · Chemistry · Solutions

Which one of the following electrolytes has the same value of van't...

Which one of the following electrolytes has the same value of van't Hoff factor (i) as that of K4[Fe(CN)6]\mathrm{K}_4\left[\mathrm{Fe}(\mathrm{CN})_6\right] ?

Options

  1. AAl2(SO4)3\mathrm{Al}_2\left(\mathrm{SO}_4\right)_3
  2. BK2SO4\mathrm{K}_2 \mathrm{SO}_4
  3. CK3[Fe(CN)6]\mathrm{K}_3\left[\mathrm{Fe}(\mathrm{CN})_6\right]
  4. DAl(NO3)3\mathrm{Al}\left(\mathrm{NO}_3\right)_3

Correct answer

A. Al2(SO4)3\mathrm{Al}_2\left(\mathrm{SO}_4\right)_3

Step-by-step solution

The value of van't Hoff factor of the given molecule is as follows : Al2(SO4)3⇌2Al3++3SO42−,i=5 K2SO4⇌2 K++SO42−,i=3 K3[Fe(CN)6]⇌3 K++[Fe(CN)6]3+,i=4Al(NO3)3⇌Al3++3NO3−,i=4\begin{aligned} \mathrm{Al}_2\left(\mathrm{SO}_4\right)_3 & \rightleftharpoons 2 \mathrm{Al}^{3+}+3 \mathrm{SO}_4^{2-}, \mathrm{i}=5 \\ \mathrm{~K}_2 \mathrm{SO}_4 & \rightleftharpoons 2 \mathrm{~K}^{+}+\mathrm{SO}_4^{2-}, \mathrm{i}=3 \\ \mathrm{~K}_3\left[\mathrm{Fe}(\mathrm{CN})_6\right] & \rightleftharpoons 3 \mathrm{~K}^{+}+\left[\mathrm{Fe}(\mathrm{CN})_6\right]^{3+}, \mathrm{i}=4 \\ \mathrm{Al}\left(\mathrm{NO}_3\right)_3 & \rightleftharpoons \mathrm{Al}^{3+}+3 \mathrm{NO}_3^{-}, \mathrm{i}=4\end{aligned} The van't Hoff factor for K4[Fe(CN)6]\mathrm{K}_4\left[\mathrm{Fe}(\mathrm{CN})_6\right] is K4\mathrm{K}_4\left[\mathrm{Fe}(\mathrm{CN})_6\right] \rightleftharpoons 4 \mathrm{~K}^{+}+[Fe(CN)6]4−,i=5\left[\mathrm{Fe}(\mathrm{CN})_6\right]^{4-}, \mathrm{i}=5 ∴Al2(SO4)3\therefore \mathrm{Al}_2\left(\mathrm{SO}_4\right)_3 has the same value of van't Hoff factor as that of K4[Fe(CN)6]\mathrm{K}_4\left[\mathrm{Fe}(\mathrm{CN})_6\right].
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