Answer:
4.78
Step-by-step explanation:
To find the pH of a buffer solution, we can use the Henderson-Hasselbalch equation:
pH = pKa + log([A^-]/[HA])
where pKa is the negative logarithm of the acid dissociation constant, [A^-] is the concentration of the conjugate base, and [HA] is the concentration of the weak acid.
In this case, the weak acid is the protonated form of the conjugate base, so we can write:
HA + H2O ⇌ A^- + H3O+
The acid dissociation constant (Ka) for this reaction is given as 4.3×10^-6.
The concentration of the conjugate base is [A^-] = 0.150 M, and the concentration of the weak acid is [HA] = 0.520 M.
The pKa can be calculated from the Ka:
pKa = -log(Ka) = -log(4.3×10^-6) = 5.37
So, plugging the given values into the Henderson-Hasselbalch equation, we get:
pH = 5.37 + log(0.150/0.520) = 4.78
Therefore, the pH of the buffer solution is approximately 4.78.