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Question: Find out the osmotic pressure of 0.1 M monobasic acid, if pH = 2.0 at 25°C....

Find out the osmotic pressure of 0.1 M monobasic acid, if pH = 2.0 at 25°C.

A

2.69 atm

B

26.9 atm

C

0.269 atm

D

None of these

Answer

2.69 atm

Explanation

Solution

Solution Explanation:

  • For a monobasic acid with concentration 0.1 M and pH 2.0, the [H⁺] concentration is 0.01 M.
  • Degree of dissociation, x = [H⁺]/C = 0.01/0.1 = 0.1.
  • The van’t Hoff factor, i = 1 + x = 1.1.
  • Osmotic pressure, π = i·C·R·T.
  • At 25°C, T = 298 K and using R = 0.0821 L·atm/(mol·K),

 π = 1.1 × 0.1 × 0.0821 × 298
   = 1.1 × 0.1 × 24.466
   = 2.691 atm ≈ 2.69 atm.