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Which of the following statements are correct?
  • a)
    Raoult’s law states that the vapour pressure of a component over a solution is directly proportional to its mole fraction
  • b)
    The osmotic pressure (π) of a solution is given by the equation π = 2Rt of 1 M NaBr solution at temperature t° C
  • c)
    The correct order of osmotic pressure of 0.01 M aqueous solution of each compound is sucrose < CH3COOH < KCI < K2SO4
  • d)
    Two solutions of urea of 1 mol kg-1 in water and in methanol will have the same depression in freezing point
Correct answer is option 'A,C'. Can you explain this answer?
Verified Answer
Which of the following statements are correct?a)Raoult’s law sta...
(a,c)
(a) Vapour pressure of a component in a solution,  by Raoult's law, thus correct.
(b) π = i MRT
For NaBr,
y = 2, / = 1 + (y - 1)x = 2
M = 1, T = (273 + t )
∴  π = 2R (273 + t) thus, incorrect.
(c)
π = i MRT
π  ∝ for equimolar solution
i = 1 for sucrose
i = (1 + x)forCH3COOH (x < < 1)
for CH3COOH being weak acid
i = 2 for KCI
i = 3 for K2S04
Thus, π (osmotic pressure) of 0.01 M solutions of sucrose < CH3COOH < KCI < K2S04 Thus, correct.
 and K1 are different, hence ΔTf will be different, thus incorrect.
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Most Upvoted Answer
Which of the following statements are correct?a)Raoult’s law sta...
Explanation:

Raoult’s Law:
- Raoult’s Law states that the vapor pressure of a component in a solution is directly proportional to its mole fraction in the solution. Therefore, statement a) is correct.

Osmotic Pressure:
- The osmotic pressure (π) of a solution is given by the equation π = iMRT, where i is the van 't Hoff factor, M is the molarity of the solution, R is the ideal gas constant, and T is the temperature in Kelvin. The statement b) is incorrect as the formula provided is not the correct formula for osmotic pressure.

Order of Osmotic Pressure:
- The correct order of osmotic pressure of 0.01 M aqueous solution of each compound is KCl < K2SO4 < CH3COOH < sucrose. Hence, statement c) is correct.

Depression in Freezing Point:
- The depression in freezing point of a solution is given by the formula ΔTf = Kf * m, where Kf is the cryoscopic constant and m is the molality of the solution. Since the properties of the solvent (water and methanol) are different, two solutions of urea with the same molality in water and methanol will not have the same depression in freezing point. Therefore, statement d) is incorrect.
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Which of the following statements are correct?a)Raoult’s law states that the vapour pressure of a component over a solution is directly proportional to its mole fractionb)The osmotic pressure (π) of a solution is given by the equation π = 2Rt of 1 M NaBr solution at temperature t° Cc)The correct order of osmotic pressure of 0.01 M aqueous solution of each compound is sucrose < CH3COOH < KCI < K2SO4d)Two solutions of urea of 1 mol kg-1 in water and in methanol will have the same depression in freezing pointCorrect answer is option 'A,C'. Can you explain this answer?
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