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Question: Answered & Verified by Expert
At 0°C, urea solution has an osmotic pressure of 400 mm. On dilution by x times, its osmotic pressure decreased to 100 mm at 20°C. The dilution factor x is approximately
ChemistrySolutionsTS EAMCETTS EAMCET 2022 (18 Jul Shift 1)
Options:
  • A 4.3
  • B 2
  • C 5
  • D 6.8
Solution:
1384 Upvotes Verified Answer
The correct answer is: 4.3

π1=C1ST1; π2=C2ST2; π1π2=C1T1C2T2

For initial solution, π1=400760 atm, T1=273K

After dilution, let volume becomes V2 and temperature is raised to 20°C, i.e., T2=293 K. and π2 = 100760 atm

On putting the values we get

400100 = C1C2×273293C1C2 = 4.3

i.e., the final solution is 4.3 times more diluted than the initial solution.

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