Question

The osmotic pressure of 0.2 molar solution of urea at 300 K is (\(R = 0.082 \, \text{L atm mol}^{-1} \text{K}^{-1}\))

• A. 4.92 atm
• B. 1 atm
• C. 0.25 atm
• D. 27 atm

Hint:

Osmotic pressure is a colligative property and depends only on the number of solute particles, not their identity.

Answer 1

The Correct Option is A

Step 1: Understanding the Concept:
Osmotic pressure (\(\pi\)) for a solution is given by \(\pi = iCRT\), where i is van't Hoff factor. For urea (non-electrolyte), i = 1.
Step 2: Detailed Explanation:
Given: C = 0.2 M, T = 300 K, R = 0.082 L atm mol\(^{-1}\) K\(^{-1}\). \(\pi = CRT = 0.2 \times 0.082 \times 300\) \(\pi = 0.2 \times 24.6 = 4.92\) atm.
Step 3: Final Answer:
The osmotic pressure is 4.92 atm, option (A).