Q5 / 150 · MHT CET 2026 (20 April Shift 1) · Chemistry

Which from following solutions in water on complete dissociation exhibits minimum freezing point depression?

  • A
    $0.2$ m Potassium chloride
  • B
    $0.1$ m Sodium chloride
  • Correct answer
    C
    $0.05$ m Aluminium phosphate
  • D
    $0.15$ m Magnesium sulphate

Solution

The depression in freezing point is given by $\Delta T_f = i \times K_f \times m$.

For complete dissociation, the van't Hoff factor $i$ is equal to the number of ions produced per formula unit.

For $0.2$ m Potassium chloride (KCl): $i = 2$, $i \times m = 2 \times 0.2 = 0.4$

For $0.1$ m Sodium chloride (NaCl): $i = 2$, $i \times m = 2 \times 0.1 = 0.2$

For $0.05$ m Aluminium phosphate (AlPO$_4$): $i = 2$, $i \times m = 2 \times 0.05 = 0.1$

For $0.15$ m Magnesium sulphate (MgSO$_4$): $i = 2$, $i \times m = 2 \times 0.15 = 0.3$

Since $0.05$ m Aluminium phosphate has the minimum value of $i \times m$, it exhibits the minimum freezing point depression.

Answer: $0.05$ m Aluminium phosphate

Hence, the correct answer is option: 'C'.

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