Multiple choice

Two solutions of glucose, ${1}^{st}$ and ${2}^{nd}$ have osmotic pressure $1.5$ atm and $2.5$ atm, respectively. $1$ litre of ${1}^{st}$ solution is mixed with $2$ litres of ${2}^{nd}$ solution. The osmotic pressure for the resultant solution will be :

  1. $21.6$ atm
  2. $0.126$ atm
  3. $2.16$ atm
  4. $0.216$ atm
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C Correct answer
Explanation

Osmotic pressure is a colligative property. For a mixture, Pi_final = (Pi1*V1 + Pi2*V2) / (V1 + V2). Pi_final = (1.5*1 + 2.5*2) / (1 + 2) = (1.5 + 5) / 3 = 6.5 / 3 = 2.166 atm.

AI explanation

Using the formula for the osmotic pressure of a mixture, the final pressure equals the sum of each solution's pressure multiplied by its volume fraction. Calculate this as (1.5 atm times 1/3) added to (2.5 atm times 2/3), resulting in 2.16 atm.

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