Answer:
[A⁻] = 0.067 M
Explanation:
In this case, let's see what happen in the mixture of the acid.
As we can see we have a strong acid and a weak acid, at the same concentration. so the moles would be the same:
moles HCl = moles CH₃COOH = 0.1 moles/L * 0.1 L = 0.01 moles
Now, the moles of the base would be:
moles NaOH = 0.1 * 0.050 = 0.005 moles
As the base is a strong base, it will react first with the strong acid, in this case, HCl as given:
NaOH + HCl --------------> NaCl + H₂O
i. 0.005 0.010 0 0
c. -0.005 -0.005 +0.005 +0.005
e. 0 0.005 0.005 0.005
The base reacts completely with the strong acid, leaving the CH₃COOH completely in solution, so:
CH₃COOH + NaOH -------------> CH₃COONa
i. 0.01 0 0
e. 0 0 0.01
So, the [A⁻] would be the [CH₃COONa]:
[A⁻] = 0.010 / (0.1 + .050)
Hope this helps