#3: pH calculation for solution-2:
Total volume = 10 mL + 10 mL = 20 mL * (1L / 1000 mL) = 0.020 L
Since equal volume of water and CH3COOH are added, the concentration will be halved.
=> [CH3COOH] = 0.10 / 2 = 0.050 M
---CH3COOH <-----> CH3COO-(aq) + H+
I: 0.050 ------------------ 0 ------------------ 0
C: - X -------------------- +X ---------------- +X
E: (0.050 - X), ---------- X ------------------- X
Ka = 1.8*10-5 = X.X / (0.050 - X)
Since X << 0.050
=> 1.8*10-5 = X2 / 0.050
=> X2 = 0.050*1.8*10-5
=> X = [H+]= 9.49*10-4
=> pH = - log[H+] = - log(9.49*10-4 ) = 3.02 (Answer)
pH calculation for solution-4:
Total volume = 10 mL + 10 mL = 20 mL * (1L / 1000 mL) = 0.020 L
Since equal volume of HCl and HCl are added, the concentration of both will be halved.
=> [CH3COOH] = 0.10 / 2 = 0.050 M
Since HCl is a strong acid it is completely dissolved. Hence [HCl] = initial [H+] = 0.10 / 2 = 0.050 M
---CH3COOH <-----> CH3COO-(aq) + H+
I: 0.050 ------------------ 0 ------------------ 0.050
C: - X -------------------- +X ---------------- +X
E: (0.050 - X), ---------- X ------------------- X+0.050
Ka = 1.8*10-5 = X.(X+0.050) / (0.050 - X)
Since X << 0.050, we can neglect X
=> 1.8*10-5 = X*0.050 / 0.050
=> X = 1.8*10-5
[H+] = X+0.050 = 1.8*10-5 + 0.050 0.050
=> pH = - log[H+] = - log(0.050) = 1.30 (Answer)
Explanation: Due to the common ion H+, the dissociation CH3COOH in very low in solution-4 in comparison to solution-2.
In solution-2, X = 9.49*10-4 , where as in solution-4, X = 1.8*10-5
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