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Which one of the following statements is false?
(AIEEE 2004)
  • a)
    Raoult’s law states that the vapour pressure of a component over a solution is proportional to its mole fraction
  • b)
    The osmotic pressure (π)of a solution is given by the equation π = MRT, where M is the molarity of the solution
  • c)
    The correct order of osmotic pressure for 0.01 M aqueous solution of each compound is BaCI2 > KCI > CH3COOH > sucrose
  • d)
    Two sucrose solutions of same molality prepared in different solvents will have the same freezing point depression
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
Which one of the following statements is false?(AIEEE 2004)a)Raoults l...
But CH3COOH is weak electrolyte than KCI.
i for sucrose is 1 as it is a non-electrocyte.
Thus, i for BaCI2> KCI > CH3COOH > sucrose Thus, (c) is also true.
(d) ΔTf = Kfm.
Kf is dependent on solvent.
Thus, freezing points = [T (solvent) - ATf] are different.
Thus, (d) is false.
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Most Upvoted Answer
Which one of the following statements is false?(AIEEE 2004)a)Raoults l...
False Statement:
- Two sucrose solutions of the same molality prepared in different solvents will have the same freezing point depression.

Explanation:
1. Raoult's Law:
- Raoult's law states that the vapor pressure of a component over a solution is proportional to its mole fraction.
- The vapor pressure of a component in a solution is lower than its pure form due to the presence of other components.
- The decrease in vapor pressure is directly proportional to the mole fraction of the solute.
- Hence, statement (a) is true.

2. Osmotic Pressure:
- The osmotic pressure (π) of a solution is given by the equation π = MRT, where M is the molarity of the solution.
- Osmotic pressure is the pressure required to stop the flow of solvent molecules across a semipermeable membrane.
- It depends on the concentration of solute particles and temperature.
- Therefore, statement (b) is true.

3. Order of Osmotic Pressure:
- The correct order of osmotic pressure for a 0.01 M aqueous solution of each compound is BaCl2 > KCl > CH3COOH > sucrose.
- Osmotic pressure is directly proportional to the concentration of solute particles.
- BaCl2 dissociates into three particles (Ba2+ and 2Cl-) in solution, KCl dissociates into two particles (K+ and Cl-), CH3COOH partially dissociates into two particles (CH3COO- and H+), and sucrose does not dissociate.
- Therefore, BaCl2 will have the highest osmotic pressure followed by KCl, CH3COOH, and sucrose.
- Hence, statement (c) is true.

4. Freezing Point Depression:
- The freezing point depression is a colligative property that depends on the number of solute particles present in a solution.
- The freezing point depression (∆Tf) is given by the equation ∆Tf = Kf * m * i, where Kf is the cryoscopic constant, m is the molality of the solution, and i is the van't Hoff factor.
- The van't Hoff factor represents the number of particles into which a solute dissociates in a solution.
- Different solvents have different solute-solvent interactions, which affect the degree of dissociation and the van't Hoff factor.
- Therefore, two sucrose solutions of the same molality prepared in different solvents will have different freezing point depressions.
- Hence, statement (d) is false.

Conclusion:
- The false statement among the given options is (D) - "Two sucrose solutions of the same molality prepared in different solvents will have the same freezing point depression."
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Which one of the following statements is false?(AIEEE 2004)a)Raoults law states that the vapour pressure of a component over a solution is proportional to its mole fractionb)The osmotic pressure ()of a solution is given by the equation = MRT, where M is the molarity of the solutionc)The correct order of osmotic pressure for 0.01 M aqueous solution of each compound is BaCI2 KCI CH3COOH sucrosed)Two sucrose solutions of same molality prepared in different solvents will have the same freezing point depressionCorrect answer is option 'D'. Can you explain this answer?
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Which one of the following statements is false?(AIEEE 2004)a)Raoults law states that the vapour pressure of a component over a solution is proportional to its mole fractionb)The osmotic pressure ()of a solution is given by the equation = MRT, where M is the molarity of the solutionc)The correct order of osmotic pressure for 0.01 M aqueous solution of each compound is BaCI2 KCI CH3COOH sucrosed)Two sucrose solutions of same molality prepared in different solvents will have the same freezing point depressionCorrect answer is option 'D'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about Which one of the following statements is false?(AIEEE 2004)a)Raoults law states that the vapour pressure of a component over a solution is proportional to its mole fractionb)The osmotic pressure ()of a solution is given by the equation = MRT, where M is the molarity of the solutionc)The correct order of osmotic pressure for 0.01 M aqueous solution of each compound is BaCI2 KCI CH3COOH sucrosed)Two sucrose solutions of same molality prepared in different solvents will have the same freezing point depressionCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Which one of the following statements is false?(AIEEE 2004)a)Raoults law states that the vapour pressure of a component over a solution is proportional to its mole fractionb)The osmotic pressure ()of a solution is given by the equation = MRT, where M is the molarity of the solutionc)The correct order of osmotic pressure for 0.01 M aqueous solution of each compound is BaCI2 KCI CH3COOH sucrosed)Two sucrose solutions of same molality prepared in different solvents will have the same freezing point depressionCorrect answer is option 'D'. Can you explain this answer?.
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