Respuesta :
Answer:
5.5
Explanation:
Phenol is a weak acid that dissociates according to the following reaction.
C₆H₅OH(aq) ⇄ C₆H₅O⁻(aq) + H⁺(aq)
The pKa is 9.90. The acid dissociation constant (Ka) is:
pKa = -log Ka
Ka = antilog -pKa = antilog -9.90
Ka = 1.26 × 10⁻¹⁰
Given the concentration of the acid, Ca = 0.10 M, and the Ka, We can find [H⁺] using the following expression.
[H⁺] = √(Ka × Ca)
[H⁺] = √(1.26 × 10⁻¹⁰ × 0.10)
[H⁺] =3.5 × 10⁻⁶ M
The pH is:
pH = -log [H⁺]
pH = -log 3.5 × 10⁻⁶
pH = 5.5
The pH of the phenol solution is 5.5.
Now we know from the question that;
pKa = 9.90
Concentration of the solution (Ca) = 0.10M
Now;
[H^+] = √Ka × Ca
But Ka = Antilog(-pKa)
Ka = Antilog (-9.90)
Ka = 1.26 × 10^-10
Hence;
[H^+] = √ 1.26 × 10^-10 × 0.10
[H^+] = 3.5 × 10^-6 M
pH = - log[3.5 × 10^-6 M]
pH = 5.5
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