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JEE Mains · Chemistry · STD 12 -1. Solution and colligative properties

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 \(27°\)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 :

  1. A Both Statement I and Statement II are true
  2. B Both Statement I and Statement II are false
  3. C Statement I is true but Statement II is false
  4. D Statement I is false but Statement II is true
Verified Solution

Answer & Solution

Correct Answer

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

Step-by-step Solution

Detailed explanation

For Statement I: Molarity of the solution in Chamber 1 (\(M_1\)) = \(\dfrac{18 / 180}{100 / 1000} = 1\) M Molarity of the solution in Chamber 2 (\(M_2\)) = \(\dfrac{30 / 180}{250 / 1000} = \dfrac{1/6}{1/4} = 0.667\) M Since \(M_1 > M_2\), the solution in Chamber 1 has a higher…
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