Which of the following salts has the same value of van't Hoff factor $(i)$ as that of $\mathrm{K}_{3

Question

Which of the following salts has the same value of van't Hoff factor $(i)$ as that of $\mathrm{K}_{3}\left[\mathrm{Fe}(\mathrm{CN})_{6}\right]$ ?

Professor PC Thomas Classes · Answer

$\mathrm{K}_{3}\left[\mathrm{Fe}(\mathrm{CN})_{6}\right] \rightleftharpoons 3 \mathrm{~K}^{+}+\left[\mathrm{Fe}(\mathrm{CN})_{6}\right]^{3-}$ and $\mathrm{Al}\left(\mathrm{NO}_{3}\right)_{3} \rightleftharpoons \mathrm{Al}^{3+}+3 \mathrm{NO}_{3}^{-}$ Since both $\mathrm{Al}\left(\mathrm{NO}_{3}\right)_{3}$ and $\mathrm{K}_{3}\left[\mathrm{Fe}(\mathrm{CN})_{6}\right]$ give the same number of ions, therefore they have the same van't Hoff factor.