Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
NEET 2026
Exam
NEET
Year
2026
Subject
Chemistry
Chapter
Chapter

NEET 2026 · Chemistry · Chapter

Assuming complete dissociation of the electrolytes, which of the...

Assuming complete dissociation of the electrolytes, which of the following aqueous solutions will freeze at the lowest temperature?

Options

  1. A0.4 M0.4\text{ M} Ethylene glycol
  2. B0.15 M CaCl20.15\text{ M CaCl}_2
  3. C0.1 M K4[Fe(CN)6]0.1\text{ M K}_4[\text{Fe}(\text{CN})_6]
  4. D0.2 M NaBr0.2\text{ M NaBr}

Correct answer

C. 0.1 M K4[Fe(CN)6]0.1\text{ M K}_4[\text{Fe}(\text{CN})_6]

Step-by-step solution

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

Assuming molarity is approximately equal to molality for dilute aqueous solutions, ΔTf∝i×C\Delta T_f \propto i \times C, where ii is the van 't Hoff factor and CC is the concentration.

For 0.4 M0.4\text{ M} Ethylene glycol: It is a non-electrolyte, so i=1i = 1.
i×C=1×0.4=0.4i \times C = 1 \times 0.4 = 0.4

For 0.15 M CaCl20.15\text{ M CaCl}_2: It dissociates into 33 ions (Ca2+\text{Ca}^{2+} and 2Cl−2\text{Cl}^-), so i=3i = 3.
i×C=3×0.15=0.45i \times C = 3 \times 0.15 = 0.45

For 0.1 M K4[Fe(CN)6]0.1\text{ M K}_4[\text{Fe}(\text{CN})_6]: It dissociates into 55 ions (4K+4\text{K}^+ and [Fe(CN)6]4−[\text{Fe}(\text{CN})_6]^{4-}), so i=5i = 5.
i×C=5×0.1=0.5i \times C = 5 \times 0.1 = 0.5

For 0.2 M NaBr0.2\text{ M NaBr}: It dissociates into 22 ions (Na+\text{Na}^+ and Br−\text{Br}^-), so i=2i = 2.
i×C=2×0.2=0.4i \times C = 2 \times 0.2 = 0.4

The solution with the highest value of i×Ci \times C will have the maximum depression in freezing point and thus the lowest freezing temperature. This corresponds to 0.1 M K4[Fe(CN)6]0.1\text{ M K}_4[\text{Fe}(\text{CN})_6].

Answer: 0.1 M K4[Fe(CN)6]0.1\text{ M K}_4[\text{Fe}(\text{CN})_6]
Practice Chapter on Quantrex Academy →

More from Chapter

Which of the following postulates of Dalton's atomic theory provides the direct… NEET 2026Consider the following five samples of substances: A. 88 g of CO_2 B. 96 g of O_2 C. 34 g… NEET 2026If the shortest wavelength of the Lyman series for a hydrogen atom is x , then the… NEET 2026What are the energy of the second Bohr orbit of Be^ 3+ and the radius of the third Bohr… NEET 2026Consider the following electronic configurations of neutral atoms: A. [Ne] 3s^2 3p^4 B.… NEET 2026Consider the following sequences of molecules and their associated properties: (I) CH_3Cl… NEET 2026The potential energy profile for a hypothetical reaction X arrow Y is shown in the given… NEET 2026For a reversible gas-phase reaction, X(g) + Y(g) leftharpoons Z(g) the rate constant for… NEET 2026 Full Chapter list All NEET PYQs