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At 27°C, the vapour pressure of an aqueous solution of urea is equal to the osmotic pressure of 5 × 10–3 M aqueous solution of glucose. If vapour pressure of pure water at 27°C is 114 torr then the mole fraction of urea in its solution is - [Given : R = 0.08 L-atm/mol-K]
  • a)
    4/5
  • b)
    0.25
  • c)
    3/4
  • d)
    0.2
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
At 27°C, the vapour pressure of an aqueous solution of urea is equ...
Vapour pressure of aquoeus solution of urea = 5 × 10–3 × 0.08 × 300 (∵π = CRT)
= 0.12 atm
= 0.12 × 760 = 91.2 torr

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Most Upvoted Answer
At 27°C, the vapour pressure of an aqueous solution of urea is equ...
Given data:
- Temperature (T) = 27°C = 27 + 273 = 300 K
- Vapour pressure of pure water (P°) = 114 torr
- Osmotic pressure (π) of glucose solution = 5 × 10^(-3) M
- Gas constant (R) = 0.08 L-atm/mol-K

Calculating mole fraction of urea:
- Let x be the mole fraction of urea in the solution
- Vapour pressure of urea solution = x * P° (as urea is non-volatile)
- According to Raoult's law, vapour pressure = mole fraction * vapour pressure of pure solvent
- x * P° = π + P° (osmotic pressure + vapour pressure of solvent)
- x = (π + P°) / P°
- x = (5 × 10^(-3) + 114) / 114
- x = 0.0438596
Therefore, the mole fraction of urea in its solution is approximately 0.0439, which is equivalent to 0.2 when rounded to one decimal place. Hence, the correct answer is option D (0.2).
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At 27°C, the vapour pressure of an aqueous solution of urea is equal to the osmotic pressure of 5 × 10–3 M aqueous solution of glucose. If vapour pressure of pure water at 27°C is 114 torr then the mole fraction of urea in its solution is - [Given : R = 0.08 L-atm/mol-K]a)4/5b)0.25c)3/4d)0.2Correct answer is option 'D'. Can you explain this answer?
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At 27°C, the vapour pressure of an aqueous solution of urea is equal to the osmotic pressure of 5 × 10–3 M aqueous solution of glucose. If vapour pressure of pure water at 27°C is 114 torr then the mole fraction of urea in its solution is - [Given : R = 0.08 L-atm/mol-K]a)4/5b)0.25c)3/4d)0.2Correct 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 At 27°C, the vapour pressure of an aqueous solution of urea is equal to the osmotic pressure of 5 × 10–3 M aqueous solution of glucose. If vapour pressure of pure water at 27°C is 114 torr then the mole fraction of urea in its solution is - [Given : R = 0.08 L-atm/mol-K]a)4/5b)0.25c)3/4d)0.2Correct 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 At 27°C, the vapour pressure of an aqueous solution of urea is equal to the osmotic pressure of 5 × 10–3 M aqueous solution of glucose. If vapour pressure of pure water at 27°C is 114 torr then the mole fraction of urea in its solution is - [Given : R = 0.08 L-atm/mol-K]a)4/5b)0.25c)3/4d)0.2Correct answer is option 'D'. Can you explain this answer?.
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