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(C) The depression in freezing point $(\Delta T_f)$ is given by $\Delta T_f = i 	imes K_f 	imes m$,where $i$ is the van't Hoff factor and $m$ is the

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$0.03 \, m \, KCl$ and $0.02 \, m \, Ca(NO_3)_2$

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(C) The depression in freezing point $(\Delta T_f)$ is given by $\Delta T_f = i 	imes K_f 	imes m$,where $i$ is the van't Hoff factor and $m$ is the molality. For solutions to have the same freezing point,the product $(i 	imes m)$ must be equal.For option $A$: $i 	imes m = (2 	imes 0.01) = 0.02$ for $NaCl$ and $(3 	imes 0.02) = 0.06$ for $MgCl_2$. Not equal.For option $B$: $i 	imes m = (3 	imes 0.02) = 0.06$ for $Na_2SO_4$ and $(3 	imes 0.01) = 0.03$ for $Ba(NO_3)_2$. Not equal.For option $C$: $i 	imes m = (2 	imes 0.03) = 0.06$ for $KCl$ and $(3 	imes 0.02) = 0.06$ for $Ca(NO_3)_2$. These are equal.For option $D$: $i 	imes m = (3 	imes 0.01) = 0.03$ for $K_2SO_4$ and $(2 	imes 0.02) = 0.04$ for $NaCl$. Not equal.

Which of the following pairs has the same freezing point?

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