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Q. $0.1\, M$ aqueous solution of $K _{4}\left[ Fe ( CN )_{6}\right]$ will have the same freezing point as $0.1 \,M$ aqueous solution of

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Solution:

$0.1 MK _{4}\left[ Fe ( CN )_{6}\right] \longrightarrow 4 K ^{+}+\left[ Fe ( CN )_{6}\right]^{-4} \,\,\,\Delta T_{f}= i \left( K _{ f } \times m \right)\,\,\, i =5$
(1) $\underset{0.1\,M}{Fe \left( SO _{4}\right)_{3}} \longrightarrow Fe ^{2+}+3 SO _{4}^{2-}( i =4)$
(2) $Al _{2}\left( SO _{4}\right)_{3} \longrightarrow 2 Al ^{3+}+3 SO _{4}^{2-}( i =5)$
(3) $AlCl _{3} \longrightarrow Al ^{3+}+3 Cl ^{-}( i =4)$
(4) $K _{3} PO _{4} \longrightarrow 3 K ^{+}+ PO _{4}{ }^{3-}( i =4)$
If $i =$ same
$T_{f} \propto i$
$T _{ f }=$ same
for same concentration