0.1 M solution of weak monobasic acid (HX) at 27°C
has osmotic pressure 3.6 atm. The pH of 0.1 M
solution of HX at 27°C is??
Answers
Answered by
2
Answer:
1
Explanation:
PH=-log[H+]
[H+]=.1
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Answered by
8
Given:
C = 0.1 M
T = 27 °C = 300 K
Π = 3.6 atm
To Find:
The pH of the given monobasic acid.
Calculation:
- We know that:
Π = iCRT
⇒ 3.6 = i × 0.1 × 0.082 × 300
⇒ i = 3.6 / 2.46
⇒ i = 1.463
- For monobasic acid, n = 2
- Now, we know the relation:
α = (i - 1)/(n-1)
⇒ α = (1.463 - 1)/ (2 - 1)
⇒ α = 0.463
- As we know that:
[H⁺] = α²c/ (1 - α)
⇒ [H⁺] = 0.2144 × 0.1 /(1 - 0.463)
⇒ [H⁺] = 0.02144/0.537
⇒ [H⁺] = 0.04
- Now, the pH can be calculated as:
pH = - log [H⁺]
⇒ pH = - log (0.04)
⇒ pH = - log 4 × 10⁻²
⇒ pH = - (log 2² + log 10⁻²)
⇒ pH = - (2 log 2 - 2 log 10)
⇒ pH = - 2 (0.3010 - 1)
⇒ pH = - 2 × - 0.699
⇒ pH = 1.398 ≈ 1.4
- So, the pH of the given monobosic acid is about 1.4.
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