Given below are two statements : Statement I : \(\mathrm{H}_{2} \mathrm{O}\) molecules move from the chamber 1 to chamber 2. Statement II : The osmotic pressure of a solution prepared by dissolving 50 mg of potassium sulphate (molar mass \(=174 \mathrm{~g} / \mathrm{mol}\) ) in 2 L of water (at \(27^{\circ} \mathrm{C}\) ) is 0.0107 bar. (Given : \(\mathrm{R}=0.083 \mathrm{dm}^{3}\) bar \(\mathrm{K}^{-1} \mathrm{~mol}^{-1}\) and assume complete dissociation of electrolyte) In the light of the above statements, choose the correct answer from the options given below :

(D) Statement I is false but Statement II is true

(A) Both Statement I and Statement II are true

(B) Both Statement I and Statement II are false

(C) Statement I is true but Statement II is false

JEE Main · 2026 · 06 Apr 2026 · Shift 2 · Solutions

Given below are two statements :

Statement I :

H_{2} O

molecules move from the chamber 1 to chamber 2.
Statement II : The osmotic pressure of a solution prepared by dissolving 50 mg of potassium sulphate (molar mass

= 174 g / mol

) in 2 L of water (at

2 7^{\circ} C

) is 0.0107 bar. (Given :

R = 0.083 dm^{3}

bar

K^{- 1} mol^{- 1}

and assume complete dissociation of electrolyte)
In the light of the above statements, choose the correct answer from the options given below :

(A)Both Statement I and Statement II are true
(B)Both Statement I and Statement II are false
(C)Statement I is true but Statement II is false
(D)Statement I is false but Statement II is true✓ Correct

Answer: (D)

Solution

Statement I: Chamber 1 has concentration

C_{1} = \frac{18/180}{0.1} = 1

M. Chamber 2 has

C_{2} = \frac{30/180}{0.25} = 0.67

M. Since

π_{1} > π_{2}

, water flows from chamber 2 to chamber 1, not from 1 to 2. Statement I is false.

Statement II: For

K_{2} SO_{4}

i = 3

. Using

π = i C R T

π = 3 \times \frac{0.05/174}{2} \times 0.083 \times 300 = 0.0107

bar. Statement II is true.

JEE Main · 2026 · 06 Apr 2026 · Shift 2 · Single correct option

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JEE Main · 2026 · 06 Apr 2026 · Shift 2 · Solutions

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