JEE Main · 2021 · 22 Jul 2021 · Shift 2 · Solutions

Which one of the following 0.06 M aqueous solutions has lowest freezing point?

(A)KI
(B) $C_{6} H_{12} O_{6}$
(C) $K_{2} SO_{4}$
(D) $Al_{2} (SO_{4})_{3}$ ✓ Correct

Answer: (D)

Solution

Depression of freezing point is a colligative property,

Δ T_{f} = i K_{f} m

, so at the same concentration the solute that releases the most particles lowers the freezing point furthest. Glucose does not dissociate and has

i = 1

; KI gives two ions and

K_{2} S O_{4}

gives three, while

A l_{2} (S O_{4})_{3}

gives two

A l^{3 +}

and three

S O_{4}^{2 -}

, that is

i = 5

. The lowest freezing point belongs to the 0.06 M solution of

A l_{2} (S O_{4})_{3}

JEE Main · 2021 · 22 Jul 2021 · Shift 2 · Single correct option

Practise more: all JEE Main PYQs on Solutions →

More JEE Main questions on Solutions

Elements P and Q form two types of non-volatile, non-ionizable compounds PQ and $PQ_{2}$ . When 1 g of PQ is dissolved in 50 g of solvent 'A', $Δ T_{b}$ was 1.176 K while when 1 g of $PQ_{2}$ is dissolved in 50 g of solvent 'A', …
JEE Main 2026View solution →
Consider a solution of $CO_{2} (g)$ dissolved in water in a closed container.

Which one of the following plots correctly represents variation of log (partial pressure of CO2 in vapour phase above water) [y-axis] with log (mole fraction of $CO_{2}$ …
JEE Main 2026View solution →
Given below are two statements:

Statement I: The Henry's law constant $K_{H}$ is constant with respect to variations in solution's concentration over the range for which the solutions is ideally dilute.
Statement II : $K_{H}$ does not diff …
JEE Main 2026View solution →
The osmotic pressure of a living cell is 12 atm at 300 K. The strength of sodium chloride solution that is isotonic with the living cell at this temperature is $____$ $g L^{- 1}$ . (Nearest integer)

Given: …
JEE Main 2026View solution →
A substance 'X' (1.5 g) dissolved in 150 g of a solvent 'Y' (molar mass $= 300 g mol^{- 1}$ ) led to an elevation of the boiling point by 0.5 K. The relative lowering in the vapour pressure of the solvent 'Y' is $____$ $\times 1 0^{- 2}$ . (Nearest integer)
[Giv …
JEE Main 2026View solution →
Which one of the following graphs accurately represents the plot of partial pressure of $CS_{2}$ vs its mole fraction in a mixture of acetone and $CS_{2}$ at constant temperature ?
JEE Main 2026View solution →