$NH_4Cl$ is a salt of a weak base and a strong acid; its solution is acidic (pH $\lt$ 7). $NaNO_3$ is a salt of a strong acid and a strong base; its solution is neutral (pH = 7). $CH_3COOK$ and $Na_2CO_3$ are salts of weak acids with strong bases; both give basic solutions by hydrolysis. Carbonic acid is a much weaker acid ($K_{a2} \approx 4.7 \times 10^{-11}$) than acetic acid ($K_a \approx 1.8 \times 10^{-5}$), so the carbonate ion is a much stronger base than acetate: $CO_3^{2-} + H_2O \rightleftharpoons HCO_3^- + OH^-$ gives more $OH^-$. So $Na_2CO_3$ has the highest pH.
ConceptpH of salt solutions
Hydrolysis of salts in past papers
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