Determine the expected value of Δ T f for 1 m CaCl 2 solution if 1 m urea solution has Δ T f value ' x ' K .

Question

Determine the expected value of Δ T f ​ for 1 m CaCl 2 ​ solution if 1 m urea solution has Δ T f ​ value ' x ' K .

TestHub · Accepted Answer

The depression in freezing point is given by $Δ T_{f} = i K_{f} m$ .

For urea, it is a non-electrolyte, so the van 't Hoff factor $i = 1$ .

$Δ T_{f} (urea) = 1 \times K_{f} \times 1 = x \Rightarrow K_{f} = x$

For $CaCl_{2}$ , it is a strong electrolyte and dissociates into one $Ca^{2 +}$ ion and two $Cl^{-}$ ions, so $i = 3$ .

$Δ T_{f} (CaCl_{2}) = 3 \times K_{f} \times 1 = 3 x K$

Answer: $3 x K$

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