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The equilibrium concentration of HOAc can be calculated using the Henderson-Hasselbalch equation:
pH = pKa + log([A-]/[HA])
where pKa is the dissociation constant of acetic acid, [A-] is the equilibrium concentration of acetate ions, and [HA] is the equilibrium concentration of acetic acid.
We can rearrange this equation to solve for [HA]:
[HA] = [A-] * 10^(pKa - pH)
Substituting the given values into this equation, we get:
[HA] = 1 * 10^(1.81*10^-5 - 1) = 9.98*10^-6 M
Therefore, the equilibrium concentration of HOAc is 9.98*10^-6 M.